Výsledky vyhledávání - "Fabio Tonini"

Akademický článek

Publikováno v: Le Matematiche, Vol 64, Iss 2, Pp 177-211 (2009)

ACM rank 1 bundles on del Pezzo surfaces are classified in terms of the rational normal curves that they contain. A complete list of ACM line bundles is provided. Moreover, for any del Pezzo surface X of degree less or equal than six and for any n �

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A generalized Abhyankar’s conjecture for simple Lie algebras in characteristic p>5

Autor: Shusuke Otabe, Fabio Tonini, Lei Zhang

Publikováno v: Mathematische Annalen. 383:1-54

In the present paper, we study a purely inseparable counterpart of Abhyankar’s conjecture for the affine line in positive characteristic, and prove its validity for all the finite local non-abelian simple group schemes in characteristic $$p>5$$ . T

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https://doi.org/10.1007/s00208-021-02269-5

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COX RING OF AN ALGEBRAIC STACK

Autor: Andreas Hochenegger, Elena Martinengo, Fabio Tonini

We give a proper definition of the multiplicative structure of the following rings: Cox ring of invertible sheaves on a general algebraic stack; Cox ring of rank one reflexive sheaves on a normal and excellent algebraic stack. We show that such Cox r

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http://hdl.handle.net/2318/1856757

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Notes on the motivic McKay correspondence for the group scheme αp

Autor: Takehiko Yasuda, Fabio Tonini

Publikováno v: Singularities — Kagoshima 2017.

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https://doi.org/10.1142/9789811206030_0011

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Moduli of formal torsors II

Autor: Fabio Tonini, Takehiko Yasuda

Applying the authors' preceding work, we construct a version of the moduli space of $G$-torsors over the formal punctured disk for a finite group $G$. To do so, we introduce two Grothendieck topologies, the sur (surjective) and luin (locally universa

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http://arxiv.org/abs/1909.09276

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A crystalline incarnation of Berthelot's conjecture and K\'unneth formula for isocrystals

Autor: Valentina Di Proietto, Fabio Tonini, Lei Zhang

Berthelot's conjecture predicts that under a proper and smooth morphism of schemes in characteristic $p$, the higher direct images of an overconvergent $F$-isocrystal are overconvergent $F$-isocrystals. In this paper we prove that this is true for cr

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http://arxiv.org/abs/1812.05153

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The arithmetic local Nori fundamental group

Autor: Fabio Tonini, Lei Zhang, Matthieu Romagny

Publikováno v: Transactions of the American Mathematical Society
Transactions of the American Mathematical Society, 2021, 374 (12), pp.8869-8885. ⟨10.1090/tran/8504⟩

In this paper we introduce the local Nori fundamental group scheme of a reduced scheme or algebraic stack over a perfect field $k$. We give particular attention to the case of fields: to any field extension $K/k$ we attach a pro-local group scheme ov

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http://arxiv.org/abs/1711.06898

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Moduli of formal torsors

Autor: Fabio Tonini, Takehiko Yasuda

Publikováno v: Journal of Algebraic Geometry

We construct the moduli stack of torsors over the formal punctured disk in characteristic p > 0 for a finite group isomorphic to the semidirect product of a p-group and a tame cyclic group. We prove that the stack is a limit of separated Deligne-Mumf

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http://arxiv.org/abs/1709.01705

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Ramified Galois covers via monoidal functors

Autor: Fabio Tonini

Publikováno v: Università degli studi di Firenze-IRIS
Fabio Tonini

We interpret Galois covers in terms of particular monoidal functors, extending the correspondence between torsors and fiber functors. As applications we characterize tame $G$-covers between normal varieties for finite and \'etale group schemes and we

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http://hdl.handle.net/2158/1156897

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Nori fundamental gerbe of essentially finite covers and Galois closure of towers of torsors

Autor: Indranil Biswas, Marco Antei, Lei Zhang, Michel Emsalem, Fabio Tonini

Publikováno v: Selecta Mathematica, vol.25(2), pp.1-35
Kérwá
Universidad de Costa Rica
instacron:UCR
Selecta Mathematica, vol.25(18), pp.1-37

We prove the existence of a Galois closure for towers of torsors under finite group schemes over a proper, geometrically connected and geometrically reduced algebraic stack X over a field k. This is done by describing the Nori fundamental gerbe of an

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