Perverse sheaves reference
Web3. aug 2024 · Perverse schobers on Riemann surfaces: constructions and examples. W. Donovan. Mathematics. European Journal of Mathematics. 2024. This note studies … Web20. aug 2024 · We show how perverse sheaves of categories encode naturally derived categories of coherent sheaves on P bundles, semiorthogonal decompositions, and relate them to a recent proof of Segal that all autoequivalences of triangulated categories are spherical twists.
Perverse sheaves reference
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Web23. mar 2014 · Let H be an arrangement of real hyperplanes in R. The complexification of H defines a natural stratification of C. We denote by Perv(C,H) the category of perverse sheaves on C smooth with respect to this stratification. We give a description of Perv(C,H) as the category of representations of an explicit quiver with relations, whose vertices … Web1. jan 2008 · Download Citation D-Modules, Perverse Sheaves, and Representation Theory D-modules continues to be an active area of stimulating research in such mathematical areas as algebra, analysis ...
Web1. dec 2024 · Perverse sheaves are fundamental objects of study in topology, algebraic geometry, analysis, and differential equations, with a plethora of applications, including in … http://people.mpim-bonn.mpg.de/geordie/perverse_course/lectures.pdf
WebWe provide a generalization of the Deligne sheaf construction of intersection homology theory, and a corresponding generalization of Poincaré duality on pseudomanifolds, such that the Goresky-MacPherson, Goresky-Siegel… WebAuthor: William Fulton Publisher: American Mathematical Soc. Size: 25.34 MB Format: PDF, Docs Category : Mathematics Languages : en Pages : 82 Access This book introduces some of the main ideas of modern intersection theory, traces their origins in classical geometry and sketches a few typical applications.
Web27. sep 2024 · The first six chapters give a comprehensive account of constructible and perverse sheaves on complex algebraic varieties, including such topics as Artin's vanishing theorem, smooth descent, and the nearby cycles functor. ... It also features a 4-page “Quick Reference” that summarizes the most commonly used facts for computations, similar to ...
Web17. apr 2010 · What is a perverse sheaf? Mark Andrea de Cataldo, Luca Migliorini. Three-page article on the notion of perverse sheaf to appear in the "What is?" series in the … boys only serverWeb15. mar 2024 · A geometric extension algebra is an extension algebra of a semi-simple perverse sheaf (allowing shifts), e.g., a push-forward of the constant sheaf under a projective map. Particular nice... gyjpharma afgan pills cialis indexWeb17. jan 2024 · 2. Let F be a complex of constructible sheaves on a stratified algebraic variety X of dimension d. I read (*) that if F is perverse and H j ( F) = 0 for j ≠ − d (here H ∗ are the ordinary cohomology sheaves associated to a complex of sheaves), then F is a semisimple perverse sheaf. However, if X is smooth with a single strata, and F = L ... boys only private school in pasadenaWebReferences 20 1. Introduction In [9], given a semisimple algebraic group Gsplit over a finite field Fq with associated Weyl group W, the authors define an action of the generalized braid group BW on the constructible derived category Db c(G/U) of mixed ℓ-adic sheaves on the basic affine space associated to Gvia so-called “symplectic ... gy Joseph\u0027s-coatWeb11. nov 2014 · We suggest a possibility for a categorical generalization of the concept of a perverse sheaf, in which vector spaces are replaced by triangulated categories. We call … gyjpharma cialis 20 mg 4 tablet fiyatWebTY - JOUR AU - Juteau, Daniel TI - Decomposition numbers for perverse sheaves JO - Annales de l’institut Fourier PY - 2009 PB - Association des Annales de l’institut Fourier VL - 59 IS - 3 SP - 1177 EP - 1229 AB - The purpose of this article is to set foundations for decomposition numbers of perverse sheaves, to give some methods to calculate them in … boys only signs to printWeb24. júl 2024 · Abstract. In this paper, we carry out several computations involving graded (or ${{\mathbb {G}}_{\textrm {m}}}$ -equivariant) perverse-coherent sheaves on the nilpotent cone of a reductive group in good characteristic.In the first part of the paper, we compute the weight of the ${{\mathbb {G}}_{\textrm {m}}}$ -action on certain normalized (or … boys only want love if it\\u0027s torcher