Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic, Auel Asher, Hassett Brendan, Vбrilly-Alvarado Anthony

Автор: Leticia Brambila Paz; Ciro Ciliberto; Eduardo Este
Название: Moduli of Curves
ISBN: 3319594850 ISBN-13(EAN): 9783319594859
Издательство: Springer
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Цена: 55890.00 T
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Описание: Foreword.- Melody Chan: Lectures on Tropical Curves and their Moduli Spaces.- Paolo Cascini.- Lecture notes for the CIMPA school.- Olivier Debarre: Higher-Dimensional Varieties.- Gavril Farkas: Progress on Syzygies of algebraic Curves.- Emanuele Macrн, Benjamin Schmidt: Lectures on Bridgeland Stability.- Edoardo Sernesi: Algebraic Curves and their Moduli.

Автор: Asher Auel; Brendan Hassett; Anthony V?rilly-Alvar
Название: Brauer Groups and Obstruction Problems
ISBN: 3319468510 ISBN-13(EAN): 9783319468518
Издательство: Springer
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Цена: 93160.00 T
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Описание:

The contributions in this book explore various contexts in which the derived category of coherent sheaves on a variety determines some of its arithmetic. This setting provides new geometric tools for interpreting elements of the Brauer group. With a view towards future arithmetic applications, the book extends a number of powerful tools for analyzing rational points on elliptic curves, e.g., isogenies among curves, torsion points, modular curves, and the resulting descent techniques, as well as higher-dimensional varieties like K3 surfaces. Inspired by the rapid recent advances in our understanding of K3 surfaces, the book is intended to foster cross-pollination between the fields of complex algebraic geometry and number theory.

Contributors:

- Nicolas Addington

Автор: Nicole Marc-Hubert
Название: Arithmetic Geometry of Logarithmic Pairs and Hyperbolicity of Moduli Spaces: Hyperbolicity in Montrйal
ISBN: 3030498638 ISBN-13(EAN): 9783030498634
Издательство: Springer
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Цена: 46570.00 T
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Описание: Lastly, part four introduces the relation between physics and information theory, which constitutes a new frontier in fundamental research.The book includes step-by-step exercises, with solutions, to help readers to gain a fuller understanding of the subjects, and also features a series of appendices providing useful mathematical formulae.

Автор: Colombo Elisabetta, Fantechi Barbara, Frediani Paola
Название: Birational Geometry and Moduli Spaces
ISBN: 3030371131 ISBN-13(EAN): 9783030371135
Издательство: Springer
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Цена: 93160.00 T
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Описание: This volume collects contributions from speakers at the INdAM Workshop "Birational Geometry and Moduli Spaces", which was held in Rome on 11-15 June 2018.

Автор: Mumford David
Название: Selected Papers I: On the Classification of Varieties and Moduli Spaces
ISBN: 1493995359 ISBN-13(EAN): 9781493995356
Издательство: Springer
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Цена: 60550.00 T
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Описание: 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.

Автор: Paul Hacking; Radu Laza; Dragos Oprea; Gilberto Bi
Название: Compactifying Moduli Spaces
ISBN: 3034809204 ISBN-13(EAN): 9783034809207
Издательство: Springer
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Цена: 23280.00 T
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Описание: 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.

Автор: Kazaryan Maxim E., Lando Sergei K., Prasolov Victor V.
Название: Algebraic Curves: Towards Moduli Spaces
ISBN: 3030029425 ISBN-13(EAN): 9783030029425
Издательство: Springer
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Цена: 65210.00 T
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Описание:

Introduction.- 1 Preliminaries - 2 Algebraic curves.- 3 Complex structure and the topology of curves.- 4 Curves in projective spaces.- 5 Plьcker formulas.- 6 Mappings of curves.- 7 Differential 1-forms on curves.- 8 Line bundles, linear systems, and divisors.- 9 Riemann-Roch formula and its applications.- 10 Proof of the Riemann-Roch formula.- 11 Weierstrass points.- 12 Abel's theorem.- 13 Examples of moduli spaces.- 14 Approaches to constructing moduli spaces.- 15 Moduli spaces of rational curves with marked points.- 16 Stable curves.- 17 A backward look from the viewpoint of characteristic classes.- 18 Moduli spaces of stable maps.- 19 Exam problems.- References.- Index.

Автор: Brambila-Paz
Название: Moduli Spaces
ISBN: 1107636388 ISBN-13(EAN): 9781107636385
Издательство: Cambridge Academ
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Цена: 64410.00 T
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Описание: Moduli theory represents a significant topic of modern mathematical research with strong connections to many areas of mathematics (including geometry, topology and number theory) and other disciplines such as theoretical physics. This book presents articles on both fundamental material and advanced research topics, accessible at the graduate level and above.

Автор: Stefaan Caenepeel
Название: Brauer Groups, Hopf Algebras and Galois Theory
ISBN: 1402003463 ISBN-13(EAN): 9781402003462
Издательство: Springer
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Цена: 69870.00 T
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Описание: Devoted to the Brauer group of a commutative ring and related invariants. This volume includes the development of the theory of Grothendieck topologies and etale cohomology. It has a discussion of topics such as Gabber`s theorem and the theory of Taylor`s big Brauer group of algebras. It also offers the development of the Galois theory.

Автор: Roman Bezrukavnikov, Alexander Braverman, Zhiwei Yun
Название: Geometry of Moduli Spaces and Representation Theory
ISBN: 1470435748 ISBN-13(EAN): 9781470435745
Издательство: Mare Nostrum (Eurospan)
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Цена: 104500.00 T
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Описание: This book is based on lectures given at the Graduate Summer School of the 2015 Park City Mathematics Institute program ``Geometry of moduli spaces and representation theory'', and is devoted to several interrelated topics in algebraic geometry, topology of algebraic varieties, and representation theory.Geometric representation theory is a young but fast developing research area at the intersection of these subjects. An early profound achievement was the famous conjecture by Kazhdan-Lusztig about characters of highest weight modules over a complex semi-simple Lie algebra, and its subsequent proof by Beilinson-Bernstein and Brylinski-Kashiwara. Two remarkable features of this proof have inspired much of subsequent development: intricate algebraic data turned out to be encoded in topological invariants of singular geometric spaces, while proving this fact required deep general theorems from algebraic geometry.Another focus of the program was enumerative algebraic geometry. Recent progress showed the role of Lie theoretic structures in problems such as calculation of quantum cohomology, K-theory, etc. Although the motivation and technical background of these constructions is quite different from that of geometric Langlands duality, both theories deal with topological invariants of moduli spaces of maps from a target of complex dimension one. Thus they are at least heuristically related, while several recent works indicate possible strong technical connections.The main goal of this collection of notes is to provide young researchers and experts alike with an introduction to these areas of active research and promote interaction between the two related directions.

Автор: Pierre Guillot
Название: A Gentle Course in Local Class Field Theory: Local Number Fields, Brauer Groups, Galois Cohomology
ISBN: 1108421776 ISBN-13(EAN): 9781108421775
Издательство: Cambridge Academ
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Цена: 79200.00 T
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Описание: This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. Written for beginning graduate students and advanced undergraduates, the material will find use across disciplines including number theory, representation theory, algebraic geometry, and algebraic topology.

Автор: Vladimir Fock; Andrey Marshakov; Florent Schaffhau
Название: Geometry and Quantization of Moduli Spaces
ISBN: 3319335774 ISBN-13(EAN): 9783319335773
Издательство: Springer
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Цена: 27940.00 T
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Описание: It presents both background information and recent developments on selected topics that are experiencing extraordinary growth within the broad research area of geometry and quantization of moduli spaces.