Zobrazeno 1 - 10
of 2 266
pro vyhledávání: '"Algebraic stacks"'
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
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
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
With the long-term goal of proving local structure theorems of algebraic stacks in positive characteristic near points with reductive (but possibly non-linearly reductive) stabilizer, we conjecture that quotient stacks of the form $[\mathrm{Spec}\, A
Externí odkaz:
http://arxiv.org/abs/2309.01388
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
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