Moduli of K-stable Varieties, Giulio Codogni; Ruadha? Dervan; Filippo Viviani

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: Ke-Zheng Li; Frans Oort
Название: Moduli of Supersingular Abelian Varieties
ISBN: 3540639233 ISBN-13(EAN): 9783540639237
Издательство: Springer
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Цена: 27910.00 T
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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: Gerard van der Geer; C. Faber; Frans Oort
Название: Moduli of Abelian Varieties
ISBN: 3034895097 ISBN-13(EAN): 9783034895095
Издательство: Springer
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Цена: 139750.00 T
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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: 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.

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: Kieran G. O`Grady
Название: Moduli of Double EPW-Sextics
ISBN: 1470416964 ISBN-13(EAN): 9781470416966
Издательство: Mare Nostrum (Eurospan)
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Цена: 92400.00 T
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Описание: The author studies the GIT quotient of the symplectic grassmannian parametrizing lagrangian subspaces of $\bigwedge^3{\mathbb C}^6$ modulo the natural action of $\mathrm{SL}_6$, call it $\mathfrak{M}$. This is a compactification of the moduli space of smooth double EPW-sextics and hence birational to the moduli space of HK $4$-folds of Type $K3^{[2]}$ polarized by a divisor of square $2$ for the Beauville-Bogomolov quadratic form. The author will determine the stable points. His work bears a strong analogy with the work of Voisin, Laza and Looijenga on moduli and periods of cubic $4$-folds.

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: 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: Wilderich Tuschmann; David J. Wraith
Название: Moduli Spaces of Riemannian Metrics
ISBN: 3034809476 ISBN-13(EAN): 9783034809474
Издательство: Springer
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Цена: 23280.00 T
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Описание: This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds. These spaces are defined by various sign-based curvature conditions, with special attention paid to positive scalar curvature and non-negative sectional curvature, though we also consider positive Ricci and non-positive sectional curvature.