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. 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.

Moduli spaces of stable sheaves on schemes: restriction theorems ...

WebSupporting: 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 … 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 … how far is westford from me

[1011.2742v5] Derived moduli of schemes and sheaves

http://export.arxiv.org/abs/1011.2742 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 … 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. how far is westerville ohio from me