Compactifying Moduli Spaces For Abelian Varieties PDF Download

Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Compactifying Moduli Spaces For Abelian Varieties PDF full book. Access full book title Compactifying Moduli Spaces For Abelian Varieties.

Compactifying Moduli Spaces for Abelian Varieties

Compactifying Moduli Spaces for Abelian Varieties
Author: Martin C. Olsson
Publisher: Springer Science & Business Media
Total Pages: 286
Release: 2008-08-25
Genre: Mathematics
ISBN: 354070518X
GET BOOK

Download Compactifying Moduli Spaces for Abelian Varieties Book 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.

Moduli Spaces of Abelian Surfaces

Moduli Spaces of Abelian Surfaces
Author: Klaus Hulek
Publisher: Walter de Gruyter
Total Pages: 361
Release: 2011-05-03
Genre: Mathematics
ISBN: 3110891921
GET BOOK

Download Moduli Spaces of Abelian Surfaces Book 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)

Compactifying Moduli Spaces

Compactifying Moduli Spaces
Author: Paul Hacking
Publisher: Birkhäuser
Total Pages: 141
Release: 2016-02-04
Genre: Mathematics
ISBN: 3034809212
GET BOOK

Download Compactifying Moduli Spaces Book in PDF, ePub and Kindle

This book focusses on a large class of objects in moduli theory and provides different perspectives from which compactifications of moduli spaces may be investigated. Three contributions give an insight on particular aspects of moduli problems. In the first of them, various ways to construct and compactify moduli spaces are presented. In the second, some questions on the boundary of moduli spaces of surfaces are addressed. Finally, the theory of stable quotients is explained, which yields meaningful compactifications of moduli spaces of maps. Both advanced graduate students and researchers in algebraic geometry will find this book a valuable read.

Compactification of Siegel Moduli Schemes

Compactification of Siegel Moduli Schemes
Author: Ching-Li Chai
Publisher: Cambridge University Press
Total Pages: 348
Release: 1985-12-12
Genre: Mathematics
ISBN: 9780521312530
GET BOOK

Download Compactification of Siegel Moduli Schemes Book in PDF, ePub and Kindle

The main result of this monograph is to prove the existence of the toroidal compactification over Z(1/2).

Compactification of Moduli Spaces and Mirror Symmetry

Compactification of Moduli Spaces and Mirror Symmetry
Author: Yuecheng Zhu
Publisher:
Total Pages: 478
Release: 2015
Genre:
ISBN:
GET BOOK

Download Compactification of Moduli Spaces and Mirror Symmetry Book in PDF, ePub and Kindle

Olsson gives modular compactifications of the moduli of toric pairs and the moduli of polarized abelian varieties A [subscript g,[delta]] in (Ols08). We give alternative constructions of these compactifications by using mirror symmetry. Our constructions are toroidal compactifications. The data needed for a toroidal compactification is a collection of fans. We obtain the collection of fans from the Mori fans of the minimal models of the mirror families. Moreover, we reinterpretate the compactification of A [subscript g,[delta]] in terms of KSBA stable pairs. We find that there is a canonical set of divisors S(K2) associated with each cusp. Near the cusp, a polarized semiabelic scheme (X, G,L) is the canonical degeneration given by the compactification if and only if (X , G, [theta]) is an object in A P[subscript g,d] for any [theta] [element of] S(K2). The two compactifications presented here are a part of a general program of applying mirror symmetry to the compactification problem of the moduli of Calabi-Yau manifolds. This thesis contains the results in (Zhu14b) and (Zhu14a).

Moduli of Curves and Abelian Varieties

Moduli of Curves and Abelian Varieties
Author: Carel Faber
Publisher: Springer Science & Business Media
Total Pages: 216
Release: 1999-06-29
Genre: Gardening
ISBN:
GET BOOK

Download Moduli of Curves and Abelian Varieties Book in PDF, ePub and Kindle

The Dutch Intercity Seminar on Moduli, which dates back to the early eighties, was an initiative of G. van der Geer, F. Oort and C. Peters. Through the years it became a focal point of Dutch mathematics and it gained some fame, also outside Holland, as an active biweekly research seminar. The tradition continues up to today. The present volume, with contributions of R. Dijkgraaf, C. Faber, G. van der Geer, R. Hain, E. Looijenga, and F. Oort, originates from the seminar held in 1995--96. Some of the articles here were discussed, in preliminary form, in the seminar; others are completely new. Two introductory papers, on moduli of abelian varieties and on moduli of curves, accompany the articles. Topics include a stratification of a moduli space of abelian varieties in positive characteristic, and the calculation of the classes of the strata, tautological classes for moduli of abelian varieties as well as for moduli of curves, correspondences between moduli spaces of curves, locally symmetric families of curves and jacobians, and the role of symmetric product spaces in quantum field theory, string theory and matrix theory.

Moduli of Abelian Varieties

Moduli of Abelian Varieties
Author: Allan Adler
Publisher: Springer
Total Pages: 205
Release: 2006-11-14
Genre: Mathematics
ISBN: 3540496092
GET BOOK

Download Moduli of Abelian Varieties Book in PDF, ePub and Kindle

This is a book aimed at researchers and advanced graduate students in algebraic geometry, interested in learning about a promising direction of research in algebraic geometry. It begins with a generalization of parts of Mumford's theory of the equations defining abelian varieties and moduli spaces. It shows through striking examples how one can use these apparently intractable systems of equations to obtain satisfying insights into the geometry and arithmetic of these varieties. It also introduces the reader to some aspects of the research of the first author into representation theory and invariant theory and their applications to these geometrical questions.

Surveys on Recent Developments in Algebraic Geometry

Surveys on Recent Developments in Algebraic Geometry
Author: Izzet Coskun
Publisher: American Mathematical Soc.
Total Pages: 386
Release: 2017-07-12
Genre: Mathematics
ISBN: 1470435578
GET BOOK

Download Surveys on Recent Developments in Algebraic Geometry Book in PDF, ePub and Kindle

The algebraic geometry community has a tradition of running a summer research institute every ten years. During these influential meetings a large number of mathematicians from around the world convene to overview the developments of the past decade and to outline the most fundamental and far-reaching problems for the next. The meeting is preceded by a Bootcamp aimed at graduate students and young researchers. This volume collects ten surveys that grew out of the Bootcamp, held July 6–10, 2015, at University of Utah, Salt Lake City, Utah. These papers give succinct and thorough introductions to some of the most important and exciting developments in algebraic geometry in the last decade. Included are descriptions of the striking advances in the Minimal Model Program, moduli spaces, derived categories, Bridgeland stability, motivic homotopy theory, methods in characteristic and Hodge theory. Surveys contain many examples, exercises and open problems, which will make this volume an invaluable and enduring resource for researchers looking for new directions.

Current Developments in Algebraic Geometry

Current Developments in Algebraic Geometry
Author: Lucia Caporaso
Publisher: Cambridge University Press
Total Pages: 437
Release: 2012-03-19
Genre: Mathematics
ISBN: 052176825X
GET BOOK

Download Current Developments in Algebraic Geometry Book in PDF, ePub and Kindle

This volume, based on a workshop by the MSRI, offers an overview of the state of the art in many areas of algebraic geometry.

Selected Papers

Selected Papers
Author: David Mumford
Publisher: Springer Science & Business Media
Total Pages: 834
Release: 2004-07-15
Genre: Mathematics
ISBN: 9780387210926
GET BOOK

Download Selected Papers Book in PDF, ePub and Kindle

Mumford is a well-known mathematician and winner of the Fields Medal, the highest honor available in mathematics. Many of these papers are currently unavailable, and the commentaries by Gieseker, Lange, Viehweg and Kempf are being published here for the first time.