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Customarily, the framework of algebraic geometry has been worked over an algebraically closed field of characteristic zero, say, over the complex number field. However, over a field of positive characteristics, many unpredictable phenomena arise where analyses will lead to further developments.In the present book, we consider first the forms of the affine line or the additive group, classification of such forms and detailed analysis. The forms of the affine line considered over the function field of an algebraic curve define the algebraic surfaces with fibrations by curves with moving singularities. These fibrations are investigated via the Mordell–Weil groups, which are originally introduced for elliptic fibrations.This is the first book which explains the phenomena arising from purely inseparable coverings and Artin–Schreier coverings. In most cases, the base surfaces are rational, hence the covering surfaces are unirational. There exists a vast, unexplored world of unirational surfaces. In this book, we explain the Frobenius sandwiches as examples of unirational surfaces.Rational double points in positive characteristics are treated in detail with concrete computations. These kinds of computations are not found in current literature. Readers, by following the computations line after line, will not only understand the peculiar phenomena in positive characteristics, but also understand what are crucial in computations. This type of experience will lead the readers to find the unsolved problems by themselves.<b>Contents:</b> <ul><li><b><i>Forms of the Affine Line:</i></b><ul><li>Picard Scheme and Jacobian Variety</li><li>Forms of the Affine Line</li><li>Groups of Russell Type</li><li>Hyperelliptic Forms of the Affine Line</li><li>Automorphisms</li><li>Divisor Class Groups</li></ul></li><li><b><i>Purely Inseparable and Artin–Schreier Coverings:</i></b><ul><li>Vector Fields and Infinitesimal Group Schemes</li><li>Zariski Surfaces</li><li>Quasi-Elliptic or Quasi-Hyperelliptic Fibrations</li><li>Mordell-Weil Groupps of Quasi-Elliptic or Quasi-Hyperelliptic Surfaces</li><li>Artin-Schreier Coverings</li><li>Higher Derivations</li><li>Unified <i>p</i>-Group Scheme</li></ul></li><li><b><i>Rational Double Points:</i></b><ul><li>Basics on Rational Double Points</li><li>Deformation of Rational Double Points</li><li>Open Problems on Rational Double Points in Positive Characteristics</li></ul></li></ul><br><b>Readership:</b> Graduate students and researchers in the fields of Algebraic Geometry, Fields and Rings, and Commutative Algebra.Form of the Affine Line;Zariski Surface;Quasi-Elliptic Fibration;Mordell–Weil Group;Artin–Schreier Covering;Higher Derivation;Unified p-group Scheme;Rational Double Point;Versal Deformation;Equisingular Locus0<b>Key Features:</b><ul><li>The mainstreams of arguments are explained, followed by computations</li><li>Several concrete examples are given to elucidate the stated results</li><li>All in all, the present book is more for practice than learning a general theory</li></ul>
From Fractals and Cellular Automata to Biology
The didactical level of exposition, together with many astonishing images and animations, accompanied by the related simple computer programming codes (in Python and POV-Ray languages) make this book an extremely and unique useful tool to test the power of algorithmic information in generating ordered structure models (2D and 3D) like regular geometric shapes, complex shapes like fractals and cellular automata, and biological systems as the organs of a living body. Informational biologists besides mathematicians and physicists of complexity may learn to test their own capabilities in programming and modelling ordered structures starting from random initial conditions at different scale of each system: from elementary particles, to biological systems, to galaxies and the whole universe. Moreover the philosophical comments comparing some aspects of modern information theory to the Aristotelian notion of 'form are very appealing also for the epistemologist and the philosopher involved in complexity matters.<b>Contents:</b> <ul><li>Information Towards Aristotelian Form</li><li>Two-Dimensional Structures from Algorithms</li><li>Three-Dimensional Structures from Algorithms</li><li>3<i>D</i> Fractal Landscapes</li><li>3<i>D</i> Fractals with Cylindrical Symmetry</li><li>Three-Dimensional Fractals from Quaternions and Double Complex Numbers</li><li>Fractal Structures from Cellular Automata</li><li>Heart Structure Models from Cellular Automata</li><li>A More Realistic Model of Heart Structure</li></ul><br><b>Readership:</b> Mathematicians, Physicists, Biologists, Bioengineers, Computer Programmers, Science philosophers (of all graduate level).Information and Aristotelian Form;Fractals;Cellular Automata;Chance and Order;Complex Organized Systems;Informatic Biology;Heart Modelling00
Poetry Book Society Summer 2020 Bulletin
The Poetry Book Society's quarterly poetry magazine featuring sneak preview poems, exclusive interviews with major worldwide poets, reviews and extensive listings.
The Summer 2020 Bulletin features Bhanu Kapil, Natalie Diaz, Ella Frears, Seán Hewitt, Ranjit Hoskote, Grace Nichols, Loretta Collins Klobah, Maria Grau Perejoan, Alycia Pirmohamed and Wayne Holloway-Smith.
You may like to consider our membership options to get your Bulletin and books every quarter. To subscribe please visit https: //www.poetrybooks.co.uk/collections/memberships/products/full-membership
Magnolia
SHORTLISTED FOR THE FORWARD PRIZES FOR POETRY 2020 and a Poetry Book Society Choice: Magnolia, 木蘭, Nina Mingya Powles’ first full collection, dwells within the tender, shifting borderland between languages, and between poetic forms, to examine the shape and texture of memories, of myths, and of a mixed-race girlhood.
Abundant with multiplicities, these poems find profound, distinctive joy in sensory nourishment – in the sharing of food, in the recounting of memoir, or vividly within nature. This is a poetry deeply attuned to the possibilities within layers of written, spoken and inherited words. A journal of sound, colour, rain, and light, these poems also wield their own precise and radical power to name and reclaim, draw afresh their own bold lines.
Radical Mainstream
Radical Mainstream examines independent film and video cultures in Britain from the mid-1970s to the late 1980s in the context of struggles against capitalism, patriarchy, racism, colonialism and homophobia, examining relations between counterpublics and social change. The book considers this period in order to examine the capacity for radical discourse to affect dominant cultural media forms, arguing that independent film- and video-makers helped transform television into a vital site of counterpublic discourse. The end of the twentieth century saw the development of new social models of film and video production and exhibition alongside the formation of new alliances to campaign for changes to social practice, policy and legislature. Radical Mainstream explores the interrelation between public debate, institutions and individuals, arguing that independent film and video in Britain at this time – including activist documentary, currents of counter-cinema, avant-garde film and video art – were largely concerned with creating and circulating counterpublic discourses. The book traces the diversity of the influences on independent film and video, from socialist and liberation movements to popular radical histories and psychoanalytic and Marxist film theory. The account provides a historic backdrop to contemporary documentary and moving image work, and illuminates the heritage of critical thinking within such practices.
Remaking Islam in African Portugal
When Guinean Muslims leave their homeland, they encounter radically new versions of Islam and new approaches to religion more generally. In Remaking Islam in African Portugal , Michelle C. Johnson explores the religious lives of these migrants in the context of diaspora. Since Islam arrived in West Africa centuries ago, Muslims in this region have long conflated ethnicity and Islam, such that to be Mandinga or Fula is also to be Muslim. But as they increasingly encounter Muslims not from Africa, as well as other ways of being Muslim, they must question and revise their understanding of «proper» Muslim belief and practice. Many men, in particular, begin to separate African custom from global Islam. Johnson maintains that this cultural intersection is highly gendered as she shows how Guinean Muslim men in Lisbon—especially those who can read Arabic, have made the pilgrimage to Mecca, and attend Friday prayer at Lisbon's central mosque—aspire to be cosmopolitan Muslims. By contrast, Guinean women—many of whom never studied the Qur'an, do not read Arabic, and feel excluded from the mosque—remain more comfortably rooted in African custom. In response, these women have created a «culture club» as an alternative Muslim space where they can celebrate life course rituals and Muslim holidays on their own terms. Remaking Islam in African Portugal highlights what being Muslim means in urban Europe and how Guinean migrants' relationships to their ritual practices must change as they remake themselves and their religion.
Folklore Concepts
By defining folklore as artistic communication in small groups, Dan Ben-Amos led the discipline of Folklore in new directions. In Folklore Concepts , Henry Glassie and Elliott Oring have curated a selection of Ben-Amos's groundbreaking essays that explore folklore as a category in cultural communication and as a subject of scholarly research. Ben-Amos's work is well-known for sparking lively debate that often centers on why his definition intrinsically acknowledges tradition rather than expresses its connection forthright. Without tradition among people, there would be no art or communication, and tradition cannot accomplish anything on its own—only people can. Ben-Amos's focus on creative communication in communities is woven into the themes of the theoretical essays in this volume, through which he advocates for a better future for folklore scholarship. Folklore Concepts traces Ben-Amos's consistent efforts over the span of his career to review and critique the definitions, concepts, and practices of Folklore in order to build the field's intellectual history. In examining this history, Folklore Concepts answers foundational questions about what folklorists are doing, how they are doing it, and why.
Toward a Sound Ecology
How does sound ecology—an acoustic connective tissue among communities—also become a basis for a healthy economy and a just community? Jeff Todd Titon's lived experiences shed light on the power of song, the ecology of musical cultures, and even cultural sustainability and resilience. In Toward a Sound Ecology , Titon's collected essays address his growing concerns with people making music, holistic ecological approaches to music, and sacred transformations of sound. Titon also demonstrates how to conduct socially responsible fieldwork and compose engaging and accessible ethnography that speaks to a diverse readership. Toward a Sound Ecology is an anthology of Titon's key writings, which are situated chronologically within three particular areas of interest: fieldwork, cultural and musical sustainability, and sound ecology. According to Titon—a foundational figure in folklore and ethnomusicology—a re-orientation away from a world of texts and objects and toward a world of sound connections will reveal the basis of a universal kinship.
Foresters, Borders, and Bark Beetles
In Europe's last primeval forest, at Poland's easternmost border with Belarus, the deep past of ancient oaks, woodland bison, and thousands of species of insects and fungi collides with authoritarian and communist histories. Foresters, biologists, environmentalists, and locals project the ancient Białowieża Forest as a series of competing icons in struggles over memory, land, and economy, which are also struggles about whether to log or preserve the woodland; whether and how to celebrate the mixed ethnic Polish/Belarusian peasant past; and whether to align this eastern outpost with ultraright Polish political parties, neighboring Belarus, or the European Union. Eunice Blavascunas provides an intimate ethnographic account, gathered in more than 20 years of research, to untangle complex forest conflicts between protection and use. She looks at which pasts are celebrated, which fester, and which are altered in the tumultuous decades following the collapse of communism. Foresters, Borders, and Bark Beetles is a timely and fascinating work of cultural analysis and storytelling that textures its ethnographic reading of people with the agency of the forest itself and its bark beetle outbreaks, which threaten to alter the very composition of the forest in the age of the Anthropocene.
Arabs and Jews in Ottoman Palestine
When did the Arab-Israeli conflict begin? Some discussions focus on the 1967 war, some go back to the creation of the state of Israel in 1948, and others look to the beginning of the British Mandate in 1922. Alan Dowty, however, traces the earliest roots of the conflict to the Ottoman Empire in the 19th century, arguing that this historical approach highlights constant clashes between religious and ethnic groups in Palestine. He demonstrates that existing Arab residents viewed new Jewish settlers as European and shares evidence of overwhelming hostility to foreigners from European lands. He shows that Jewish settlers had tremendous incentive to minimize all obstacles to settlement, including the inconvenient hostility of the existing population. Dowty's thorough research reveals how events that occurred over 125 years ago shaped the implacable conflict that dominates the Middle East today.