Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Oren Ben-Bassat"'
Autor:
Oren Ben-Bassat, Devarshi Mukherjee
We study the interaction between various analytification functors, and a class of morphisms of rings, called homotopy epimorphisms. An analytification functor assigns to a simplicial commutative algebra over a ring $R$, along with a choice of Banach
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c2372eb8f6d1bc01b4cff6301538773
Autor:
Oren Ben-Bassat, Konstantin Ardakov
Publikováno v:
Proceedings of the London Mathematical Society. 117:881-900
Let $K$ be a field of characteristic zero complete with respect to a non-trivial, non-Archimedean valuation. We relate the sheaf $\widehat{\mathcal{D}}$ of infinite order differential operators on smooth rigid $K$-analytic spaces to the algebra $\mat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9393b808bd5ae5202e8f9b72579a3c13
https://doi.org/10.1112/plms.12142
https://doi.org/10.1112/plms.12142
Autor:
Kobi Kremnizer, Oren Ben-Bassat
We show that Berkovich analytic geometry can be viewed as relative algebraic geometry in the sense of To\"{e}n--Vaqui\'{e}--Vezzosi over the category of non-Archimedean Banach spaces. For any closed symmetric monoidal quasi-abelian category we can de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a2d346b0782a390bcae5ef18f1996ad
https://doi.org/10.5802/afst.1526
https://doi.org/10.5802/afst.1526
Autor:
Federico Bambozzi, Oren Ben-Bassat
Publikováno v:
Journal of Number Theory. 162:391-462
In this article, we look at analytic geometry from the perspective of relative algebraic geometry with respect to the categories of bornological and Ind-Banach spaces over valued fields (both Archimedean and non-Archimedean). We are able to recast th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d0edf5ada9e4ed8d8af72f779ea75a9
https://doi.org/10.1016/j.jnt.2015.10.023
https://doi.org/10.1016/j.jnt.2015.10.023
In this article we give a homological characterization of the topology of Stein spaces over any valued base field. In particular, when working over the field of complex numbers, we obtain a characterization of the usual Euclidean (transcendental) top
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::324c25c30950c742ed947949a7900190
https://hdl.handle.net/11577/3477972
https://hdl.handle.net/11577/3477972
Publikováno v:
Advances in Mathematics. 356:106815
This paper develops a theory of analytic geometry over the field with one element. The approach used is the analytic counter-part of the Toen-Vaquie theory of schemes over F 1 , i.e. the base category relative to which we work out our theory is the c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b075d9da68f1ebb0724fa650d8ebd8b7
https://doi.org/10.1016/j.aim.2019.106815
https://doi.org/10.1016/j.aim.2019.106815
Autor:
Oren Ben-Bassat
The purpose of this paper is to develop the theory of holomorphic gerbes on complex tori in a manner analogous to the classical theory for line bundles. In contrast to past studies on this subject, we do not restrict to the case where these gerbes ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a7dff9e15ee5ef15fc8920dd7cca6bf
https://doi.org/10.4171/jncg/96
https://doi.org/10.4171/jncg/96
Autor:
Lino Amorim, Oren Ben-Bassat
In this article, we construct a $2$-category of Lagrangians in a fixed shifted symplectic derived stack S. The objects and morphisms are all given by Lagrangians living on various fiber products. A special case of this gives a $2$-category of $n$-shi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c73a00ac710b053a159006d5a22c5909
http://arxiv.org/abs/1601.01536
http://arxiv.org/abs/1601.01536
Autor:
Oren Ben-Bassat, Damien Calaque
Publikováno v:
Contemporary Mathematics ISBN: 9781470415570
Stacks and Categories in Geometry, Topology, and Algebra
Stacks and Categories in Geometry, Topology, and Algebra
We define the notion of 1-affineness for a prestack, and prove an array of results that establish 1-affineness of certain types of prestacks.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f080c5fa518820e8b72904e1c1f71944
https://doi.org/10.1090/conm/643
https://doi.org/10.1090/conm/643
Autor:
Oren Ben-Bassat
Publikováno v:
Journal of Geometry and Physics. 56:533-558
In this paper we develop a relative version of T-duality in generalized complex geometry which we propose as a manifestation of mirror symmetry. Let M be an n-dimensional smooth real manifold, V a rank n real vector bundle on M, and nabla a flat conn
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4469c5f8ad07a96352bcb88521fad10a
https://doi.org/10.1016/j.geomphys.2005.03.004
https://doi.org/10.1016/j.geomphys.2005.03.004