Moduli of K-Stable Varieties, Codogni Giulio, Dervan Ruadhaн, Viviani Filippo
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: 15372.00 р. 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: Giulio Codogni; Ruadha? Dervan; Filippo Viviani Название: Moduli of K-stable Varieties ISBN: 3030131572 ISBN-13(EAN): 9783030131579 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume is an outcome of the workshop 'Moduli of K-stable Varieties', which was held in Rome, Italy in 2017. The content focuses on the existence problem for canonical K?hler metrics and links to the algebro-geometric notion of K-stability. The book includes both surveys on this problem, notably in the case of Fano varieties, and original contributions addressing this and related problems. The papers in the latter group develop the theory of K-stability; explore canonical metrics in the K?hler and almost-K?hler settings; offer new insights into the geometric significance of K-stability; and develop tropical aspects of the moduli space of curves, the singularity theory necessary for higher dimensional moduli theory, and the existence of minimal models. Reflecting the advances made in the area in recent years, the survey articles provide an essential overview of many of the most important findings. The book is intended for all advanced graduate students and researchers who want to learn about recent developments in the theory of moduli space, K-stability and K?hler-Einstein metrics.
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: Gerard van der Geer; C. Faber; Frans Oort Название: Moduli of Abelian Varieties ISBN: 3034895097 ISBN-13(EAN): 9783034895095 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
Автор: Ke-Zheng Li; Frans Oort Название: Moduli of Supersingular Abelian Varieties ISBN: 3540639233 ISBN-13(EAN): 9783540639237 Издательство: Springer Рейтинг: Цена: 4186.00 р. 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.
Автор: Leticia Brambila Paz; Ciro Ciliberto; Eduardo Este Название: Moduli of Curves ISBN: 3319594850 ISBN-13(EAN): 9783319594859 Издательство: Springer Рейтинг: Цена: 8384.00 р. 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: 30606.00 р. 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.
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: 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: 9781.00 р. 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.
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