Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Lehalleur, SImon Pepin"'
We study the geometry of the algebraic set of tuples of composable matrices which multiply to a fixed matrix, using tools from the theory of quiver representations. In particular, we determine its codimension $C$ and the number $\theta$ of its top-di
Externí odkaz:
http://arxiv.org/abs/2411.19920
We construct new six-functor formalisms capturing cohomological invariants of varieties with potentials. Starting from any six-functor formalism $C$, encoded as a coefficient system, we associate a new six-functor formalism $C_{\text{exp}}$. This req
Externí odkaz:
http://arxiv.org/abs/2211.17247
We prove formulae for the motives of stacks of coherent sheaves of fixed rank and degree over a smooth projective curve in Voevodsky's triangulated category of mixed motives with rational coefficients.
Comment: 11 pages, comments welcome
Comment: 11 pages, comments welcome
Externí odkaz:
http://arxiv.org/abs/2208.03204
We prove that the (twisted orbifold) motives of the moduli spaces of $\mathrm{SL}_n$ and $\mathrm{PGL}_n$-Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are iso
Externí odkaz:
http://arxiv.org/abs/2205.15393
Publikováno v:
Electron. res. arch. (2022) 30 (1), 66--89
We prove formulas for the rational Chow motives of moduli spaces of semistable vector bundles and Higgs bundles of rank 3 and coprime degree on a smooth projective curve. Our approach involves identifying criteria to lift identities in (a completion
Externí odkaz:
http://arxiv.org/abs/2102.07546
Let $k$ be a field and let $\text{GW}(k)$ be the Grothendieck-Witt ring of virtual non-degenerate symmetric bilinear forms over $k$. We develop methods for computing the quadratic Euler characteristic $\chi(X/k)\in \text{GW}(k)$ for $X$ a smooth hype
Externí odkaz:
http://arxiv.org/abs/2101.00482
We study the rational Chow motives of certain moduli spaces of vector bundles on a smooth projective curve with additional structure (such as a parabolic structure or Higgs field). In the parabolic case, these moduli spaces depend on a choice of stab
Externí odkaz:
http://arxiv.org/abs/2011.14872
We study the motive of the moduli space of semistable Higgs bundles of coprime rank and degree on a smooth projective curve C over a field k under the assumption that C has a rational point. We show this motive is contained in the thick tensor subcat
Externí odkaz:
http://arxiv.org/abs/1910.04440
Publikováno v:
Geom. Topol. 25 (2021) 3555-3589
We prove a formula for the motive of the stack of vector bundles of fixed rank and degree over a smooth projective curve in Voevodsky's triangulated category of mixed motives with rational coefficients.
Comment: 17 pages; references updated
Comment: 17 pages; references updated
Externí odkaz:
http://arxiv.org/abs/1809.02150
Autor:
Lehalleur, Simon Pepin
We prove that arbitrary pullbacks, as well as Betti and \'etale realisation functors, are t-exact for the constructible motivic t-structure on the category of cohomological 1-motives over a base scheme.
Externí odkaz:
http://arxiv.org/abs/1712.01180