Автор: Kazaryan Maxim E., Lando Sergei K., Prasolov Victor V. Название: Algebraic Curves: Towards Moduli Spaces ISBN: 3030029425 ISBN-13(EAN): 9783030029425 Издательство: Springer Рейтинг: Цена: 65210.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Carel Faber; Gavril Farkas; Gerard van der Geer Название: K3 Surfaces and Their Moduli ISBN: 3319299581 ISBN-13(EAN): 9783319299587 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
This book provides an overview of the latest developments concerning the moduli of K3 surfaces. It is aimed at algebraic geometers, but is also of interest to number theorists and theoretical physicists, and continues the tradition of related volumes like "The Moduli Space of Curves" and "Moduli of Abelian Varieties," which originated from conferences on the islands Texel and Schiermonnikoog and which have become classics.
K3 surfaces and their moduli form a central topic in algebraic geometry and arithmetic geometry, and have recently attracted a lot of attention from both mathematicians and theoretical physicists. Advances in this field often result from mixing sophisticated techniques from algebraic geometry, lattice theory, number theory, and dynamical systems. The topic has received significant impetus due to recent breakthroughs on the Tate conjecture, the study of stability conditions and derived categories, and links with mirror symmetry and string theory. At the same time, the theory of irreducible holomorphic symplectic varieties, the higher dimensional analogues of K3 surfaces, has become a mainstream topic in algebraic geometry.
Contributors: S. Boissi re, A. Cattaneo, I. Dolgachev, V. Gritsenko, B. Hassett, G. Heckman, K. Hulek, S. Katz, A. Klemm, S. Kondo, C. Liedtke, D. Matsushita, M. Nieper-Wisskirchen, G. Oberdieck, K. Oguiso, R. Pandharipande, S. Rieken, A. Sarti, I. Shimada, R. P. Thomas, Y. Tschinkel, A. Verra, C. Voisin.
Автор: Lutz Habermann Название: Riemannian Metrics of Constant Mass and Moduli Spaces of Conformal Structures ISBN: 3540679871 ISBN-13(EAN): 9783540679875 Издательство: Springer Рейтинг: Цена: 32560.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph deals with questions of conformal geometry. It provides in detail an approach to studying moduli spaces of conformal structures, using a canonical metric for conformal structures. The book is accessible to readers with basic knowledge in differential geometry and global analysis.
Автор: Leticia Brambila Paz; Ciro Ciliberto; Eduardo Este Название: Moduli of Curves ISBN: 3319594850 ISBN-13(EAN): 9783319594859 Издательство: Springer Рейтинг: Цена: 55890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: Robert H. Dijkgraaf; Carel Faber; Gerard B.M. van Название: The Moduli Space of Curves ISBN: 0817637842 ISBN-13(EAN): 9780817637842 Издательство: Springer Рейтинг: Цена: 204040.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The moduli space Mg of curves of fixed genus g - that is, the algebraic variety that parametrizes all curves of genus g - is one of the most intriguing objects of study in algebraic geometry. This title explores both the structure of the moduli space of curves and its relationship with physics through quantum cohomology.
Автор: Allan Adler; Sundararaman Ramanan Название: Moduli of Abelian Varieties ISBN: 3540620230 ISBN-13(EAN): 9783540620235 Издательство: Springer Рейтинг: Цена: 32560.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This text begins with a generalization of parts of Mumford`s theory of the equations defining abelian varieties and moduli spaces. It also introduces the reader to some aspects of the research into representation and invariant theories and their applications to these gemoetrical questions.
Автор: Ke-Zheng Li; Frans Oort Название: Moduli of Supersingular Abelian Varieties ISBN: 3540639233 ISBN-13(EAN): 9783540639237 Издательство: Springer Рейтинг: Цена: 27910.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: An analysis of the moduli of supersingular abelian varieties. It considers: flag type quotients; main results on S ag,lu; PFTQs of Dieudonne modules over W; moduli of rigid PFTQs of Dieudonne modules; some class numbers; main results on S ag,du; and proofs of the propositions on FTQs.
