Zobrazeno 1 - 10
of 89
pro vyhledávání: '"Belmans, Pieter"'
There exists a dictionary between hereditary orders and smooth stacky curves, resp. tame orders of global dimension 2 and Azumaya algebras on smooth stacky surfaces. We extend this dictionary by explaining how the restriction of a tame order to a cur
Externí odkaz:
http://arxiv.org/abs/2410.07620
Autor:
Belmans, Pieter, Bose, Jishnu, Frei, Sarah, Gould, Benjamin, Hotchkiss, James, Lamarche, Alicia, Petok, Jack, Avila, Cristian Rodriguez, Shah, Saket
We propose conjectural semiorthogonal decompositions for Fano schemes of linear subspaces on intersections of two quadrics, in terms of symmetric powers of the associated hyperelliptic (resp. stacky) curve. When the intersection is odd-dimensional, w
Externí odkaz:
http://arxiv.org/abs/2403.12517
We introduce a double framing construction for moduli spaces of quiver representations. It allows us to reduce certain sheaf cohomology computations involving the universal representation, to computations involving line bundles, making them amenable
Externí odkaz:
http://arxiv.org/abs/2311.17004
We explain how Teleman quantization can be applied to moduli spaces of quiver representations to compute the higher cohomology of the endomorphism bundle of the universal bundle. We use this to prove Schofield's partial tilting conjecture, and to sho
Externí odkaz:
http://arxiv.org/abs/2311.17003
We compute the Hochschild cohomology of Hilbert schemes of points on surfaces and observe that it is, in general, not determined solely by the Hochschild cohomology of the surface, but by its "Hochschild-Serre cohomology": the bigraded vector space o
Externí odkaz:
http://arxiv.org/abs/2309.06244
Autor:
Belmans, Pieter, Franzen, Hans
We describe the point class and Todd class in the Chow ring of a quiver moduli space, building on a result of Ellingsrud-Str{\o}mme. This, together with the presentation of the Chow ring by the second author, makes it possible to compute integrals on
Externí odkaz:
http://arxiv.org/abs/2307.01711
Autor:
Belmans, Pieter, Damiolini, Chiara, Franzen, Hans, Hoskins, Victoria, Makarova, Svetlana, Tajakka, Tuomas
We give a moduli-theoretic treatment of the existence and properties of moduli spaces of semistable quiver representations, avoiding methods from geometric invariant theory. Using the existence criteria of Alper--Halpern-Leistner--Heinloth, we show t
Externí odkaz:
http://arxiv.org/abs/2210.00033
We give the first examples of Fano manifolds with multiple optimal tori, i.e.~we construct monotone Lagrangian tori $L$, such that the weighted number of holomorphic Maslov index two discs with boundary on $L$ equals the upper bound given by the symp
Externí odkaz:
http://arxiv.org/abs/2206.11584
Publikováno v:
SPEC: Stacks Project Expository Collection, Cambridge University Press, London Mathematical Society Lecture Note Series, chapter 3, pages 90-125, 2022
We discuss the projectivity of the moduli space of semistable vector bundles on a curve of genus $g\geq 2$. This is a classical result from the 1960s, obtained using geometric invariant theory. We outline a modern approach that combines the recent ma
Externí odkaz:
http://arxiv.org/abs/2206.06195