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Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31, Frances Clare Kirwan


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Автор: Frances Clare Kirwan
Название:  Cohomology of Quotients in Symplectic and Algebraic Geometry. (MN-31), Volume 31
ISBN: 9780691214566
Издательство: Walter de Gruyter
Классификация: ISBN-10: 0691214565
Обложка/Формат: Ebook
Страницы: 216
Вес: 0.00 кг.
Дата издания: 08.02.2021
Серия: Mathematics
Язык: English
Читательская аудитория: Professional and scholarly
Ключевые слова: Geometry, MATHEMATICS / Geometry / Algebraic
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Поставляется из: Германии

Algebraic Quotients. Torus Actions and Cohomology. The Adjoi

Автор: Bialynicki-Birula A.
Название: Algebraic Quotients. Torus Actions and Cohomology. The Adjoi
ISBN: 3642077455 ISBN-13(EAN): 9783642077456
Издательство: Springer
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Цена: 130430.00 T
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Описание: This is the second volume of the new subseries "Invariant Theory and Algebraic Transformation Groups". Bialynicki-Birula is to present the main trends and achievements of research in the theory of quotients by actions of algebraic groups. This theory contains geometric invariant theory with various applications to problems of moduli theory.

Quantization of Singular Symplectic Quotients

Автор: N.P. Landsman; Markus Pflaum; Martin Schlichenmaie
Название: Quantization of Singular Symplectic Quotients
ISBN: 3764366087 ISBN-13(EAN): 9783764366087
Издательство: Springer
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Цена: 121110.00 T
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Описание: An exposition of the quantization theory of singular symplectic (Marsden-Weinstein) quotients and their applications to physics. It provides the reader with an overview of research approaches that involve classical differential and algebraic geometry, as well as operator algebras and noncommutative geometry.

Quantization of Singular Symplectic Quotients

Автор: N.P. Landsman; Markus Pflaum; Martin Schlichenmaie
Название: Quantization of Singular Symplectic Quotients
ISBN: 3034895356 ISBN-13(EAN): 9783034895354
Издательство: Springer
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Цена: 93160.00 T
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Описание: This is the first exposition of the quantization theory of singular symplectic (Marsden-Weinstein) quotients and their applications to physics. These involve classical differential and algebraic geometry, as well as operator algebras and noncommutative geometry.

Compact Quotients of Cahen-Wallach Spaces

Автор: Ines Kath, Martin Olbrich
Название: Compact Quotients of Cahen-Wallach Spaces
ISBN: 1470441039 ISBN-13(EAN): 9781470441036
Издательство: Mare Nostrum (Eurospan)
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Цена: 76690.00 T
Наличие на складе: Нет в наличии.
Описание: Indecomposable symmetric Lorentzian manifolds of non-constant curvature are called Cahen-Wallach spaces. Their isometry classes are described by continuous families of real parameters. The authors derive necessary and sufficient conditions for the existence of compact quotients of Cahen-Wallach spaces in terms of these parameters.

The Geometry of some special Arithmetic Quotients

Автор: Bruce Hunt
Название: The Geometry of some special Arithmetic Quotients
ISBN: 3540617957 ISBN-13(EAN): 9783540617952
Издательство: Springer
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Цена: 46540.00 T
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Описание: This volume discusses a series of higher-dimensional moduli spaces, of abelian varieties, cubic and K3 surfaces, which have embeddings in projective spaces as very special algebraic varieties. Many of these were known classically, but the book also introduces and studies a quintic fourfold.

Gromov-Witten Theory of Quotients of Fermat Calabi-Yau Varieties

Автор: Hiroshi Iritani, Todor Milanov, Yefeng Shen, Yongbin Ruan
Название: Gromov-Witten Theory of Quotients of Fermat Calabi-Yau Varieties
ISBN: 1470443635 ISBN-13(EAN): 9781470443634
Издательство: Mare Nostrum (Eurospan)
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Цена: 71060.00 T
Наличие на складе: Невозможна поставка.

Orthogonal and Symplectic $n$-level Densities

Автор: A.M. Mason, N.C. Snaith
Название: Orthogonal and Symplectic $n$-level Densities
ISBN: 1470426854 ISBN-13(EAN): 9781470426859
Издательство: Mare Nostrum (Eurospan)
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Цена: 77610.00 T
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Описание: In this paper the authors apply to the zeros of families of $L$-functions with orthogonal or symplectic symmetry the method that Conrey and Snaith (Correlations of eigenvalues and Riemann zeros, 2008) used to calculate the $n$-correlation of the zeros of the Riemann zeta function. This method uses the Ratios Conjectures (Conrey, Farmer, and Zimbauer, 2008) for averages of ratios of zeta or $L$-functions. Katz and Sarnak (Zeroes of zeta functions and symmetry, 1999) conjecture that the zero statistics of families of $L$-functions have an underlying symmetry relating to one of the classical compact groups $U(N)$, $O(N)$ and $USp(2N)$.Here the authors complete the work already done with $U(N)$ (Conrey and Snaith, Correlations of eigenvalues and Riemann zeros, 2008) to show how new methods for calculating the $n$-level densities of eigenangles of random orthogonal or symplectic matrices can be used to create explicit conjectures for the $n$-level densities of zeros of $L$-functions with orthogonal or symplectic symmetry, including all the lower order terms. They show how the method used here results in formulae that are easily modified when the test function used has a restricted range of support, and this will facilitate comparison with rigorous number theoretic $n$-level density results.

On the Symplectic Type of Isomorphisms of the $p$-Torsion of Elliptic Curves

Автор: Alain Kraus, Nuno Freitas
Название: On the Symplectic Type of Isomorphisms of the $p$-Torsion of Elliptic Curves
ISBN: 1470452103 ISBN-13(EAN): 9781470452100
Издательство: Mare Nostrum (Eurospan)
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Цена: 71060.00 T
Наличие на складе: Нет в наличии.

Maximal Cohen-Macaulay Modules and Tate Cohomology

Автор: Ragnar-Olaf Buchweitz
Название: Maximal Cohen-Macaulay Modules and Tate Cohomology
ISBN: 1470453401 ISBN-13(EAN): 9781470453404
Издательство: Mare Nostrum (Eurospan)
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Цена: 104500.00 T
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Описание: This book is a lightly edited version of the unpublished manuscript Maximal Cohen-Macaulay modules and Tate cohomology over Gorenstein rings by Ragnar-Olaf Buchweitz. The central objects of study are maximal Cohen-Macaulay modules over (not necessarily commutative) Gorenstein rings. The main result is that the stable category of maximal Cohen-Macaulay modules over a Gorenstein ring is equivalent to the stable derived category and also to the homotopy category of acyclic complexes of projective modules. This assimilates and significantly extends earlier work of Eisenbud on hypersurface singularities. There is also an extensive discussion of duality phenomena in stable derived categories, extending Tate duality on cohomology of finite groups. Another noteworthy aspect is an extension of the classical BGG correspondence to super-algebras. There are numerous examples that illustrate these ideas. The text includes a survey of developments subsequent to, and connected with, Buchweitz's manuscript.

On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2

Автор: Werner Hoffmann, Satoshi Wakatsuki
Название: On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2
ISBN: 1470431025 ISBN-13(EAN): 9781470431020
Издательство: Mare Nostrum (Eurospan)
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Цена: 77610.00 T
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Описание: Studies the non-semisimple terms in the geometric side of the Arthur trace formula for the split symplectic similitude group and the split symplectic group of rank $2$ over any algebraic number field.

Derived Functors And Sheaf Cohomology

Автор: Bruzzo Ugo, Otero Beatriz Grana
Название: Derived Functors And Sheaf Cohomology
ISBN: 9811207283 ISBN-13(EAN): 9789811207280
Издательство: World Scientific Publishing
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Цена: 84480.00 T
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Описание:

The aim of the book is to present a precise and comprehensive introduction to the basic theory of derived functors, with an emphasis on sheaf cohomology and spectral sequences. It keeps the treatment as simple as possible, aiming at the same time to provide a number of examples, mainly from sheaf theory, and also from algebra.

The first part of the book provides the foundational material: Chapter 1 deals with category theory and homological algebra. Chapter 2 is devoted to the development of the theory of derived functors, based on the notion of injective object. In particular, the universal properties of derived functors are stressed, with a view to make the proofs in the following chapters as simple and natural as possible. Chapter 3 provides a rather thorough introduction to sheaves, in a general topological setting. Chapter 4 introduces sheaf cohomology as a derived functor, and, after also defining Čech cohomology, develops a careful comparison between the two cohomologies which is a detailed analysis not easily available in the literature. This comparison is made using general, universal properties of derived functors. This chapter also establishes the relations with the de Rham and Dolbeault cohomologies. Chapter 5 offers a friendly approach to the rather intricate theory of spectral sequences by means of the theory of derived triangles, which is precise and relatively easy to grasp. It also includes several examples of specific spectral sequences. Readers will find exercises throughout the text, with additional exercises included at the end of each chapter.


Group Cohomology and Algebraic Cycles

Автор: Totaro
Название: Group Cohomology and Algebraic Cycles
ISBN: 1107015774 ISBN-13(EAN): 9781107015777
Издательство: Cambridge Academ
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Цена: 121440.00 T
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Описание: Group cohomology reveals a deep relation between algebra and topology, and its recent applications have provided important insights into the Hodge conjecture and algebraic geometry more broadly. This book presents a coherent suite of computational tools for the study of group cohomology and algebraic cycles.


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