Derived moduli of schemes and sheaves
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 … 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 …
Derived moduli of schemes and sheaves
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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 … 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 present a construction of the derived moduli scheme of stable sheaves on Y , as a Geometric Invariant Theory quotient of the derived scheme of actions. The derived scheme of actions, RAct, was introduced by Ciocan-Fontanine and Kapranov in [3] as an auxiliary tool in their construction of the derived scheme of quotients, RQuot. 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.
WebApr 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... WebOct 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 …
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 dividing the derived scheme of actions of Ciocan-Fontanine and Kapranov by a suitable algebraic gauge group.
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 … greater cambridge area countryWebIt is the definitive reference for the important topics of vector bundles, coherent sheaves, moduli spaces and geometric invariant theory; perfect as both an introduction to these … greater cambridge energy projectWebExplicit examples of derived moduli problems addressed here are finite schemes, polarised projective schemes, torsors, coherent sheaves, and finite group schemes. Introduction In [Pri6], representability was established for many derived moduli problems involving schemes and quasi-coherent sheaves. However, the derived stacks there … greater cambridge local development schemeWebNov 23, 2024 · In modern terms, enumerative geometry is the study of moduli spaces: instead of counting various geometric objects, one describes the set of such objects, … greater cambridge greenwaysWebDescription: 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 ... greater cambridge local plan sitesWebNov 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. greater cambridge local plan call for sitesWebThe 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. flims chesa