Moduli spaces of abelian surfaces with isogeny - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Moduli spaces of abelian surfaces with isogeny write by Christina Birkenhake. This book was released on 1992. Moduli spaces of abelian surfaces with isogeny available in PDF, EPUB and Kindle.
Moduli Spaces of Abelian Surfaces
Moduli Spaces of Abelian Surfaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Moduli Spaces of Abelian Surfaces write by Klaus Hulek. This book was released on 2011-05-03. Moduli Spaces of Abelian Surfaces available in PDF, EPUB and Kindle. The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)
Moduli of Abelian Varieties
Moduli of Abelian Varieties - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Moduli of Abelian Varieties write by Gerard van der Geer. This book was released on 2012-12-06. Moduli of Abelian Varieties available in PDF, EPUB and Kindle. Abelian varieties and their moduli are a topic of increasing importance in today`s mathematics, applications ranging from algebraic geometry and number theory to mathematical physics. This collection of 17 refereed articles originates from the third "Texel Conference" held in 1999. Leading experts discuss and study the structure of the moduli spaces of abelian varieties and related spaces, giving an excellent view of the state of the art in this field.
Quaternion Algebras
Quaternion Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Quaternion Algebras write by John Voight. This book was released on 2021-06-28. Quaternion Algebras available in PDF, EPUB and Kindle. This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with applications in diverse areas of mathematics. Written to be accessible and approachable to the graduate student reader, this text collects and synthesizes results from across the literature. Numerous pathways offer explorations in many different directions, while the unified treatment makes this book an essential reference for students and researchers alike. Divided into five parts, the book begins with a basic introduction to the noncommutative algebra underlying the theory of quaternion algebras over fields, including the relationship to quadratic forms. An in-depth exploration of the arithmetic of quaternion algebras and orders follows. The third part considers analytic aspects, starting with zeta functions and then passing to an idelic approach, offering a pathway from local to global that includes strong approximation. Applications of unit groups of quaternion orders to hyperbolic geometry and low-dimensional topology follow, relating geometric and topological properties to arithmetic invariants. Arithmetic geometry completes the volume, including quaternionic aspects of modular forms, supersingular elliptic curves, and the moduli of QM abelian surfaces. Quaternion Algebras encompasses a vast wealth of knowledge at the intersection of many fields. Graduate students interested in algebra, geometry, and number theory will appreciate the many avenues and connections to be explored. Instructors will find numerous options for constructing introductory and advanced courses, while researchers will value the all-embracing treatment. Readers are assumed to have some familiarity with algebraic number theory and commutative algebra, as well as the fundamentals of linear algebra, topology, and complex analysis. More advanced topics call upon additional background, as noted, though essential concepts and motivation are recapped throughout.
Compactifying Moduli Spaces for Abelian Varieties
Compactifying Moduli Spaces for Abelian Varieties - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Compactifying Moduli Spaces for Abelian Varieties write by Martin C. Olsson. This book was released on 2008-08-25. Compactifying Moduli Spaces for Abelian Varieties available in PDF, EPUB and Kindle. This volume presents the construction of canonical modular compactifications of moduli spaces for polarized Abelian varieties (possibly with level structure), building on the earlier work of Alexeev, Nakamura, and Namikawa. This provides a different approach to compactifying these spaces than the more classical approach using toroical embeddings, which are not canonical. There are two main new contributions in this monograph: (1) The introduction of logarithmic geometry as understood by Fontaine, Illusie, and Kato to the study of degenerating Abelian varieties; and (2) the construction of canonical compactifications for moduli spaces with higher degree polarizations based on stack-theoretic techniques and a study of the theta group.
