Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Alberto Vezzani"'
Autor:
Ariyan Javanpeykar, Alberto Vezzani
Publikováno v:
Journal für die reine und angewandte Mathematik (Crelles Journal). 2021:1-29
Inspired by the work of Cherry, we introduce and study a new notion of Brody hyperbolicity for rigid analytic varieties over a non-archimedean field $K$ of characteristic zero. We use this notion of hyperbolicity to show the following algebraic state
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5466e12ceb267245f52a678db35eff96
https://doi.org/10.1515/crelle-2021-0032
https://doi.org/10.1515/crelle-2021-0032
Autor:
Alberto Vezzani
Publikováno v:
Infosys Science Foundation Series ISBN: 9789811671203
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6d6f37e276468c040bbb43d43722bd6
https://hdl.handle.net/2434/949301
https://hdl.handle.net/2434/949301
Publikováno v:
Communications in Computer and Information Science ISBN: 9783030450151
WIVACE
WIVACE
A well-known hypothesis, with far-reaching implications, is that biological evolution should preferentially lead to critical dynamic regimes. Useful information about the dynamical regime of gene regulatory networks can be obtained by studying their
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2985b50ce7c5b50722ec9fc053e0825d
https://hdl.handle.net/11380/1209542
https://hdl.handle.net/11380/1209542
Autor:
Alberto Vezzani
Publikováno v:
Advances in Mathematics. 306:852-879
We prove the equivalence between the category $\mathbf{RigDM}_{et}^{eff}(K,\mathbb{Q})$ of effective motives of rigid analytic varieties over a perfect complete non-archimedean field $K$ and the category $\mathbf{RigDM}_{Frobet}^{eff}(K,\mathbb{Q})$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ab127ffebbd0142db48c507150666d37
https://doi.org/10.1016/j.aim.2016.11.004
https://doi.org/10.1016/j.aim.2016.11.004
Autor:
Alberto Vezzani
We prove that the functor associating to a rigid analytic variety the singular complex of the underlying Berkovich topological space is motivic, and defines the maximal Artin quotient of a motive. We use this to generalize Berkovich's results on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::17179b8bbc074babda390b7c84d7853e
Autor:
Alberto Vezzani
We define a de Rham cohomology theory for analytic varieties over a valued field $K^\flat$ of equal characteristic $p$ with coefficients in a chosen untilt of the perfection of $K^\flat$ by means of the motivic version of Scholze's tilting equivalenc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::707babd2a02bea9980d84d4f744a5f96
http://arxiv.org/abs/1611.05647
http://arxiv.org/abs/1611.05647
Autor:
Alberto Vezzani
Publikováno v:
Mathematische Zeitschrift. 271:911-926
Deitmar introduced schemes over \({\mathbb {F}_{1}}\), the so-called “field with one element”, as certain spaces with an attached sheaf of monoids, generalizing the definition of schemes as ringed spaces. On the other hand, Toen and Vaquie define
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::02a9b52a3f7eefefd0067995e5f83f5d
https://doi.org/10.1007/s00209-011-0896-5
https://doi.org/10.1007/s00209-011-0896-5
Autor:
Alberto Vezzani
Publikováno v:
International Mathematics Research Notices
International Mathematics Research Notices, 2018, 2018 (11), pp.3443-3489. ⟨10.1093/imrn/rnw335⟩
International Mathematics Research Notices, Oxford University Press (OUP), In press, 〈10.1093/imrn/rnw335〉
International Mathematics Research Notices, Oxford University Press (OUP), 2018, 2018 (11), pp.3443-3489. ⟨10.1093/imrn/rnw335⟩
International Mathematics Research Notices, 2018, 2018 (11), pp.3443-3489. ⟨10.1093/imrn/rnw335⟩
International Mathematics Research Notices, Oxford University Press (OUP), In press, 〈10.1093/imrn/rnw335〉
International Mathematics Research Notices, Oxford University Press (OUP), 2018, 2018 (11), pp.3443-3489. ⟨10.1093/imrn/rnw335⟩
We construct the dagger realization functor for analytic motives over non-archimedean fields of mixed characteristic, as well as the Monsky-Washnitzer realization functor for algebraic motives over a discrete field of positive characteristic. In part
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8facb35caf8f0165f1d7fd6e5b0bd60c
http://arxiv.org/abs/1509.01718
http://arxiv.org/abs/1509.01718
Autor:
Alberto Vezzani
We prove the equivalence between the categories of motives of rigid analytic varieties over a perfectoid field $K$ of mixed characteristic and over the associated (tilted) perfectoid field $K^{\flat}$ of equal characteristic. This can be considered a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a993473cd22e6952a1aab4b543a12374