Birational Geometry And Moduli Spaces
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Birational Geometry And Moduli Spaces
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Author : Elisabetta Colombo
language : en
Publisher: Springer Nature
Release Date : 2020-02-25
Birational Geometry And Moduli Spaces written by Elisabetta Colombo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-25 with Mathematics categories.
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. The workshop was devoted to the interplay between birational geometry and moduli spaces and the contributions of the volume reflect the same idea, focusing on both these areas and their interaction. In particular, the book includes both surveys and original papers on irreducible holomorphic symplectic manifolds, Severi varieties, degenerations of Calabi-Yau varieties, uniruled threefolds, toric Fano threefolds, mirror symmetry, canonical bundle formula, the Lefschetz principle, birational transformations, and deformations of diagrams of algebras. The intention is to disseminate the knowledge of advanced results and key techniques used to solve open problems. The book is intended for all advanced graduate students and researchers interested in the new research frontiers of birational geometry and moduli spaces.
Geometry Of Moduli
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Author : Jan Arthur Christophersen
language : en
Publisher: Springer
Release Date : 2018-11-24
Geometry Of Moduli written by Jan Arthur Christophersen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-24 with Mathematics categories.
The proceedings from the Abel Symposium on Geometry of Moduli, held at Svinøya Rorbuer, Svolvær in Lofoten, in August 2017, present both survey and research articles on the recent surge of developments in understanding moduli problems in algebraic geometry. Written by many of the main contributors to this evolving subject, the book provides a comprehensive collection of new methods and the various directions in which moduli theory is advancing. These include the geometry of moduli spaces, non-reductive geometric invariant theory, birational geometry, enumerative geometry, hyper-kähler geometry, syzygies of curves and Brill-Noether theory and stability conditions. Moduli theory is ubiquitous in algebraic geometry, and this is reflected in the list of moduli spaces addressed in this volume: sheaves on varieties, symmetric tensors, abelian differentials, (log) Calabi-Yau varieties, points on schemes, rational varieties, curves, abelian varieties and hyper-Kähler manifolds.
Birational Geometry Of Moduli Spaces Of Pointed Curves
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Author : Irene Schwarz
language : en
Publisher:
Release Date : 2020
Birational Geometry Of Moduli Spaces Of Pointed Curves written by Irene Schwarz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.
Birational Geometry Of Moduli Spaces Of Stable Objects On Enriques Surfaces
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Author : Thorsten Beckmann
language : en
Publisher:
Release Date : 2018
Birational Geometry Of Moduli Spaces Of Stable Objects On Enriques Surfaces written by Thorsten Beckmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
The Birational Geometry Of Moduli Space M 3 And Moduli Space M 2 1
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Author : William Frederick Rulla
language : en
Publisher:
Release Date : 2001
The Birational Geometry Of Moduli Space M 3 And Moduli Space M 2 1 written by William Frederick Rulla and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Geometry, Algebraic categories.
"The cones of effective, nef and moving divisors are determined for the moduli spaces [M with macron-subscript 3] and [M with macron-subscript 2,1]. Every nef Cartier divisor in both spaces is shown to be semi-ample in characteristic zero. A decomposition of the cone of effective divisors [NE with macron-superscript 1] ([M with macron-subscript 3]) into chambers parametrizing [sic] contracting birational maps is given and is shown to pull back to an analogous decomposion [sic] of [NE with macron-superscript 1] ([M with macron-subscript 2,1]). In particular, a divisor on [M with macron-subscript 3] is nef (resp. moving) if and only if its pull-back to [M with macron-subscript 2,1] is. Every birational morphism of [M with macron-subscript 2,1] to a normal projective variety is induced from [M with macron-subscript 3], and has an analagous [sic] exceptional locus."--Page vi.
Birational Geometry Of The Moduli Spaces Of Curves With One Marked Point
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Author : David Hay Jensen
language : en
Publisher:
Release Date : 2010
Birational Geometry Of The Moduli Spaces Of Curves With One Marked Point written by David Hay Jensen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
The Geometry Of Moduli Spaces Of Sheaves
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Author : Daniel Huybrechts
language : en
Publisher: Cambridge University Press
Release Date : 2010-05-27
The Geometry Of Moduli Spaces Of Sheaves written by Daniel Huybrechts and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-05-27 with Mathematics categories.
This edition has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces. The authors review changes in the field and point the reader towards further literature. An ideal text for graduate students or mathematicians with a background in algebraic geometry.
The Birational Geometry Of The Moduli Space Of Curves
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Author : Gavril Marius Farkas
language : en
Publisher:
Release Date : 2000
The Birational Geometry Of The Moduli Space Of Curves written by Gavril Marius Farkas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.
Birational Geometry Rational Curves And Arithmetic
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Author : Fedor Bogomolov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-05-17
Birational Geometry Rational Curves And Arithmetic written by Fedor Bogomolov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-17 with Mathematics categories.
This book features recent developments in a rapidly growing area at the interface of higher-dimensional birational geometry and arithmetic geometry. It focuses on the geometry of spaces of rational curves, with an emphasis on applications to arithmetic questions. Classically, arithmetic is the study of rational or integral solutions of diophantine equations and geometry is the study of lines and conics. From the modern standpoint, arithmetic is the study of rational and integral points on algebraic varieties over nonclosed fields. A major insight of the 20th century was that arithmetic properties of an algebraic variety are tightly linked to the geometry of rational curves on the variety and how they vary in families. This collection of solicited survey and research papers is intended to serve as an introduction for graduate students and researchers interested in entering the field, and as a source of reference for experts working on related problems. Topics that will be addressed include: birational properties such as rationality, unirationality, and rational connectedness, existence of rational curves in prescribed homology classes, cones of rational curves on rationally connected and Calabi-Yau varieties, as well as related questions within the framework of the Minimal Model Program.
Geometry Of Moduli Spaces And Representation Theory
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Author : Roman Bezrukavnikov
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-12-15
Geometry Of Moduli Spaces And Representation Theory written by Roman Bezrukavnikov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-15 with Algebraic varieties categories.
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.