Decomposition numbers for perverse sheaves
http://www-personal.umich.edu/~bhattb/teaching/mat731f15/ Web2.2. Flag varieties, the Bruhat decomposition and Schubert varieties 3 2.3. The Lie algebra of a semisimple algebraic group 3 2.4. Harish-Chandra isomorphism 4 2.5. Category O 5 3. From g-modules to D-modules to perverse sheaves 5 3.1. Beilinson-Bernstein localization 5 3.2. B-equivariant D X-modules and perverse sheaves 6 3.3.
Decomposition numbers for perverse sheaves
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Webdecomposition numbers in the category of perverse sheaves. 1. Introduction 1.1. This paper is the rst in a series devoted to investigating the structure of the category of Bruhat-constructible perverse sheaves on the ag variety of a complex connected reductive algebraic group, with coe cients in a eld of positive charac-teristic. WebFeb 6, 2012 · The Lefschetz decomposition and Hodge-Riemann bilinear relations. Definition 18 For , ... then the signature of the intersection form on is equal to , where are the Hodge numbers. Cohomology of sheaves and categories. ... Hence and they take perverse sheaves to perverse sheaves (-exact). In particular, when is etale, ...
WebThe second one relies on the decomposition theorem for perverse sheaves of geometric origin but not on weight arguments. Our proof based on the decomposition theorem works equally well for singular cohomology when k= C. In this case we obtain a result with Q-coefficients whose proof will be sketched at the end of Section 5: Theorem 1.2. Assume ... WebMay 25, 2024 · We give a motivated introduction to the theory of perverse sheaves, culminating in the decomposition theorem of Beilinson, Bernstein, Deligne and Gabber.
Webderived category of perverse sheaves, and describe some ideas involved in its proof (in very broad strokes). 1 Decomposition theorem and applications Let Xbe a variety. A complex … WebThe purpose of this article is to set foundations for decomposition numbers of perverse sheaves, to give some methods to calculate them in simple cases, and to compute them …
Web3.Perverse sheaves de nition, some properties 4.Statement of decomposition theorem \yoga of weights" 5. Application 1: Beilinson, et al., \there are enough perverse sheaves", they generate the derived category of constructible sheaves 6.Application 2: Radon transforms. Use to understand monodromy of hyperplane sections.
WebX-perverse sheaves Definition Let X be a complex algebraic variety and X a stratification. A complex of sheaves F 2Db X c (X) is called X-perverse if for each stratum S 2X we … rick owens eastpakWebde ne an abelian subcategory that lives inside the derived category of constructible sheaves, which we call the category of perverse sheaves. We want to get to what is … rick owens exerciseWebSee the decomposition theorem (§4) for ampli˙cation. 2 De˙nition and examples Here we will de˙ne the derived category in which perverse sheaves live (sorry, that is a pain), … rick owens emailWebMar 17, 2008 · The purpose of this article is to set foundations for decomposition numbers of perverse sheaves, to give some methods to calculate them in simple cases, and to … rick owens evening gownsWeb2 PERVERSE SHEAVES 2 Perverse Sheaves 2.1 The constructible category Let X be a complex variety. Denote by Shv(X;Q) be the category of sheaves of Q-vector spaces on X, and by Db(Shv(X;Q)) the bounded derived category of Shv(X;Q). Definition 2.1. A sheaf Fon X is constructible if there exists a stratification X = ‘ X into rick owens fall winter 2022WebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. The purpose of this article is to set foundations for decomposition numbers of perverse sheaves, to give some methods to calculate them in simple cases, and to compute them concretely in two situations: for a simple (Kleinian) surface singularity, and for the closure … rick owens familyWebPerverse Sheaves Laurenţiu G. Maxim Pages 129-148 The Decomposition Package and Applications Laurenţiu G. Maxim Pages 149-179 Hypersurface Singularities. Nearby and … rick owens fashion