Derived moduli of schemes and sheaves

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WebWe describe derived moduli functors for a range of problems involving schemes and quasi-coherent sheaves, and give cohomological conditions for them to be representable by … WebNov 11, 2010 · Derived moduli of schemes and sheaves J. P. Pridham We describe derived moduli functors for a range of problems involving schemes and quasi-coherent sheaves, and give cohomological conditions for them to be representable by derived geometric n-stacks.

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WebJun 24, 2016 · The second part of the paper is devoted to the study of derived moduli of sheaves: we give a new proof of the representability of the derived stack of perfect … WebMay 27, 2010 · Now back in print, this highly regarded book has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces, which include moduli spaces in... coast white feather dress

Non-commutative thickening of moduli spaces of stable sheaves

WebDERIVED MODULI OF SCHEMES AND SHEAVES J.P.PRIDHAM Abstract. We describe derived moduli functors for a range of problems involving schemes and quasi-coherent … WebIn chapter one, we explore the derived category of coherent sheaves on a variety through its group of autoequivalences. More precisely, we show that a scheme of ﬁnite type over a ﬁeld is determined by its bounded derived category of coherent sheaves together with a collection of autoequivalences corresponding to an ample family of line bundles. WebCalabi{Yau moduli schemes and moduli stacks Pantev et al. prove that if Y is a Calabi{Yau m-fold over K and M is a derived moduli scheme or stack of (complexes of) coherent sheaves on Y , then M has a natural (2 m)-shifted symplectic structure !. So Calabi{Yau 3-folds give 1-shifted derived schemes or stacks. cal king white comforters

Moduli Spaces of Sheaves on Surfaces: Hecke Correspondences …

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WebDescription: Now back in print, this highly regarded book has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces, which include moduli spaces in positive characteristic, moduli spaces of principal bundles and of complexes, Hilbert schemes of points on surfaces, derived categories of ... WebNov 11, 2010 · Abstract:We describe derived moduli functors for a range of problems involving schemes and quasi-coherent sheaves, and give cohomological conditions for … cal king weighted blanketWebthe theory of semistable coherent sheaves and their moduli spaces, which include moduli spaces in positive characteristic, moduli spaces of principal bundles and of complexes, … cal king wood bed frame with storage

"WebThe argument of [Reference Álvarez-Cónsul and King AK07] was improved by Behrend et al. [Reference Behrend, Fontanine, Hwang and Rose BFHR14] to construct the derived moduli scheme of stable sheaves. " - Derived moduli of schemes and sheaves

Derived moduli of schemes and sheaves

[1708.00504] Moduli of sheaves: a modern primer - arXiv

Webh-stable sheaves are simple. Fact 1.1. The moduli functor of simple sheaves may not be representable by a scheme, but there exist a coarse moduli space Spl S. Furthermore, the functor is represented by an algebraic space Spl S. In more concrete terms, for all morphisms ˚: B!Spl S, there exists an etale cover ˇ: B~ !Band a sheaf Eon B~ S, which is WebModuli scheme. In mathematics, a moduli scheme is a moduli space that exists in the category of schemes developed by Alexander Grothendieck. Some important moduli …

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WebThe Geometry of Moduli Spaces of Sheaves - Dec 17 2024. 4 Now back in print, this highly regarded book has been updated to reflect recent advances in the theory of ... Hilbert schemes of points on surfaces, derived categories of coherent sheaves, and moduli spaces of sheaves on Calabi–Yau threefolds. The authors review changes in the WebDec 8, 2011 · Abstract. We describe derived moduli functors for a range of problems involving schemes and quasi-coherent sheaves, and give cohomological conditions for …

WebWe construct the derived scheme of stable sheaves on a smooth projective variety via derived moduli of finite graded modules over a graded ring. We do this by dividing the derived scheme of actions of Ciocan-Fontanine and Kapranov by a suitable algebraic gauge group. We show that the natural notion of GIT stability for graded modules … WebNov 11, 2010 · Derived moduli of schemes and sheaves November 2010 arXiv Authors: J. P. Pridham Abstract We describe derived moduli functors for a range of problems …

WebNote that the language L is a many-sorted rst-order pred- icate language with equality and without the symbols :, !, and 8. Now suppose that a scheme Sch is de ned by a nite geometric the- ory T = (L; I), where I is a nite set of sequents. Examples of such schemes are schemes with sets of functional, join, key, inclusion, Horn dependencies. WebAbstract. We construct the derived scheme of stable sheaves on a smooth projective variety via derived moduli of finite graded modules over a graded ring. We do this by …

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cal king white coverletWebModuli spaces of sheaves Y: Calabi-Yau threefold. Fix numerical invariants, and a stability condition. X: associated moduli space of stable sheaves (derived category objects) on Y. Example: Fix integer n >0. X = Hilbn(Y), Hilbert scheme of n points on Y. E 2X ()E is the ideal sheaf of a (degenerate) set of n points in Y. Example: Fix integers n ... cal king white beddingWebModuli spaces of stable sheaves on schemes: restriction theorems, boundedness and the GIT construction Author (s) Masaki Maruyama, Takeshi Abe, Michiaki Inaba MSJ Memoirs, 33: 154pp. (2016). DOI: 10.2969/msjmemoirs/033010000 PURCHASE IN PRINT Abstract Read Full Abstract + cal king waterbedWebcoherent sheaves is the derived tensor product, which produces an object of the derived category of X(see §0.4). A coherent sheaf Fon a Noetherian scheme Xis: (a) locally free if Xhas a (finite) cover by open setsUsuch that: F U ∼=⊕rO X U are free modules over the rings of regular functions. These are the vector bundles. (b) invertible ... cal king waterbed sheets north carolinaWebNov 28, 2012 · I will recall the basic definitions of derived schemes and derived stacks, and will also mention more advanced techniques such as representability theorems, differential forms, derived categories of sheaves … In the last lecture I will present the notion of shifted symplectic structures, as well as an existence theorem coast wholesale appliances west edmontonWebApr 12, 2010 · The derived moduli space of stable sheaves DOI: Source arXiv Authors: Kai Behrend Ionut Ciocan-Fontanine Junho Hwang Michael Rose Abstract We construct the derived scheme of stable sheaves... cal king wood platform bedWebSupporting: 1, Mentioning: 43 - We describe derived moduli functors for a range of problems involving schemes and quasi-coherent sheaves, and give cohomological conditions for them to be representable by derived geometric n-stacks. Examples of problems represented by derived geometric 1-stacks are derived moduli of polarised … cal king wooden headboard