Derived moduli of schemes and sheaves
WebModuli 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 + 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 …
Derived moduli of schemes and sheaves
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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 … 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 …
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 … 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 …
WebOnce we can overcome this difficulty, the universality of the moduli space is easily derived from that of the Quot-scheme and the quotient. In the first section we shall recall a proof … WebApr 10, 2024 · Tropicalization of Schemes and Sheaves. April 2024; License; CC BY-NC-ND 4.0; Authors: Félix Baril Boudreau. Félix Baril Boudreau. This person is not on …
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.
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. portree to applecrossWebNote 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. portree train stationWebModuli 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 ... portree to air of sleatWebcoherent 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 ... optp castlegregoryWebSupporting: 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 … optp black axis foam rollerWebAbstract 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 dividing the derived scheme of actions of Ciocan-Fontanine and Kapranov by a suitable algebraic gauge group. portree scotland imagesWebOct 15, 2024 · The construction of the moduli space of stable sheaves using Berkovich analytic spaces will give rise to the non-archimedean version of Donaldson—Thomas invariants. In this paper we give the moduli construction over a non-archimedean field {\mathbb {K}}. We use the machinery of formal schemes, that is, we define and … portree to loch lomond