Compact Moduli Spaces and Vector Bundles, Valery Alexeev, Angela Gibney, Elham Izadi, Janos Kollar, Eduard Looijenga
Автор: Cristian Anghel, Iustin Coanda, Nicolae Manolache Название: Globally Generated Vector Bundles with Small $c_1$ on Projective Spaces ISBN: 1470428385 ISBN-13(EAN): 9781470428389 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 77610.00 T Наличие на складе: Невозможна поставка. Описание: Provides a complete classification of globally generated vector bundles with first Chern class $c_1 \leq 5$ one the projective plane and with $c_1 \leq 4$ on the projective $n$-space for $n \geq 3$. This reproves and extends, in a systematic manner, previous results obtained for $c_1 \leq 2$ by Sierra and Ugaglia.
Автор: Igor Burban, Bernd Kreussler Название: Vector Bundles on Degenerations of Elliptic Curves and Yang-Baxter Equations ISBN: 0821872923 ISBN-13(EAN): 9780821872925 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 71150.00 T Наличие на складе: Невозможна поставка. Описание: "November 2012, volume 220, number 1035 (third of 4 numbers)."
Автор: Benson Название: Representations of Elementary Abelian p -Groups and Vector Bundles ISBN: 1107174171 ISBN-13(EAN): 9781107174177 Издательство: Cambridge Academ Рейтинг: Цена: 121440.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This is the first book to study representations of elementary abelian groups using vector bundles on projective space. The treatment includes substantial background material from representation theory and algebraic geometry, including an algebraic treatment of the theory of Chern classes.
Автор: Atanas Atanasov, Eric Larson, David Yang Название: Interpolation for Normal Bundles of General Curves ISBN: 147043489X ISBN-13(EAN): 9781470434892 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 83160.00 T Наличие на складе: Невозможна поставка. Описание: Given $n$ general points $p_1, p_2, \ldots, p_n \in \mathbb P^r$, it is natural to ask when there exists a curve $C \subset \mathbb P^r$, of degree $d$ and genus $g$, passing through $p_1, p_2, \ldots, p_n$. In this paper, the authors give a complete answer to this question for curves $C$ with nonspecial hyperplane section.
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) Рейтинг: Цена: 104500.00 T Наличие на складе: Невозможна поставка. 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: 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: Kieran G. O`Grady Название: Moduli of Double EPW-Sextics ISBN: 1470416964 ISBN-13(EAN): 9781470416966 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 92400.00 T Наличие на складе: Невозможна поставка. 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: 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: Osamu Fujino, Shigeyuki Kondo, Atsushi Moriwaki, Masa-Hiko Saito, Kota Yoshioka Название: Development of Moduli Theory - Kyoto 2013 ISBN: 4864970327 ISBN-13(EAN): 9784864970327 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 170010.00 T Наличие на складе: Невозможна поставка. Описание: Contains the proceedings of the 6th Mathematical Society of Japan Seasonal Institute Development of Moduli Theory, which was held as the Seasonal Institute 2013, with support from the Mathematical Society of Japan and the 2013 Research Project of the Research Institute of Mathematical Science, Kyoto University. This volume consists of five survey articles and eight research articles.
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