Derived moduli of schemes and sheaves
WebExplicit 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 … 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...
Derived moduli of schemes and sheaves
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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 … 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.
WebJ. K-Theory 10 (2012), 41–85 doi:10.1017/is011011012jkt175 ©2011 ISOPP Derived moduli of schemes and sheaves by J.P. PRIDHAM Abstract We describe derived moduli ... 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 …
WebIt 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 … http://export.arxiv.org/abs/1011.2742
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 …
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. sims 4 bunny ears and pacifierWebModuli 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 ... rbf5370 fund factsWebWe 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 … sims 4 bunny ears modWebOct 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 … rbf481 fund factsWebOnce 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 … rbf468 price todayWebThe 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 rbf539 ychartWebNov 11, 2010 · We describe derived moduli functors for a range of problems involving schemes and quasi-coherent sheaves, and give cohomological conditions for them to … sims 4 bushy bun