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pro vyhledávání: '"Algebraic stacks"'
Autor:
Zhang, Xucheng
We generalize the notion of S-equivalence, previously defined for semistable vector bundles, to points in arbitrary algebraic stacks and use it to describe the identification of points when passing to the moduli space. As applications, we recover the
Externí odkaz:
http://arxiv.org/abs/2411.04053
Autor:
Joshua, Roy, Pelaez, Pablo
In this paper we consider the K-theory of smooth algebraic stacks, establish lambda and gamma operations, and show that the higher K-theory of such stacks is always a pre-lambda-ring, and is a lambda-ring if every coherent sheaf is the quotient of a
Externí odkaz:
http://arxiv.org/abs/2407.10394
Autor:
Zhang, Lei
Drinfeld's lemma is a powerful tool for splitting $\ell$-adic local systems defined over a product of connected schemes over a finite field. In this paper, we show that Drinfeld's lemma also holds true for algebraic stacks.
Externí odkaz:
http://arxiv.org/abs/2408.02991
Base on a conjecture, we prove that for any smooth separated stack of finite type over a number field, its descent obstruction equals its iterated descent obstruction. As a consequence, we show that for any algebraic stack over a number field that ha
Externí odkaz:
http://arxiv.org/abs/2409.20068
Akademický článek
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Autor:
Yaylali, Can
We define an $\infty$-category of rational motives for cofiltered limits of algebraic stacks, so-called pro-algebraic stacks. We show that it admits a $6$-functor formalism for certain classes of morphisms. Our main example is the stack of displays,
Externí odkaz:
http://arxiv.org/abs/2403.03596
Autor:
Huynh, Matthew
We generalize a construction of Barthel-Brasselet-Fieseler-Gabber-Kaup in the setting of complex varieties to the setting of finite type, complex algebraic stacks. Given two such stacks $\mathcal{X},\mathcal{Y}$ with affine stabilizers, and a morphis
Externí odkaz:
http://arxiv.org/abs/2403.15890
Autor:
Bragg, Daniel, Lieblich, Max
We show that various natural algebro-geometric moduli stacks, including the stack of curves, have the property that every Deligne-Mumford gerbe over a field appears as the residual gerbe of one of their points. These gerbes are universal obstructions
Externí odkaz:
http://arxiv.org/abs/2402.00862
Autor:
Khan, Adeel A.
Notes on algebraic stacks, prepared for an 11-lecture course at the NCTS, Taipei, during the fall of 2022.
Comment: 78 pages
Comment: 78 pages
Externí odkaz:
http://arxiv.org/abs/2310.12456