Zobrazeno 1 - 10
of 527
pro vyhledávání: '"ARCHIMEDEAN ANALYTIC SPACES"'
Autor:
Cai, Yulin
We develop the intersection theory of non-archimedean analytic spaces and prove the projection formula and the GAGA principle. As an application, we naturally define the category of finite correspondences of analytic spaces.
Externí odkaz:
http://arxiv.org/abs/2301.02629
Autor:
Conrad, Brian, Temkin, Michael
Publikováno v:
Tunisian J. Math. 3 (2021) 689-748
In this paper we study two types of descent in the category of Berkovich analytic spaces: flat descent and descent with respect to an extension of the ground field. Quite surprisingly, the deepest results in this direction seem to be of the second ty
Externí odkaz:
http://arxiv.org/abs/1912.06230
Autor:
Berner, Joe
We review the shape theory of $\infty$-topoi, and relate it with the usual cohomology of locally constant sheaves. Additionally, a new localization of profinite spaces is defined which allows us to extend the \'etale realization functor of Isaksen. W
Externí odkaz:
http://arxiv.org/abs/1708.03657
Autor:
Porta, Mauro, Yu, Tony Yue
We propose a derived version of non-archimedean analytic geometry. Intuitively, a derived non-archimedean analytic space consists of an ordinary non-archimedean analytic space equipped with a sheaf of derived rings. Such a naive definition turns out
Externí odkaz:
http://arxiv.org/abs/1601.00859
Autor:
Berkovich, Vladimir G.
Publikováno v:
Journal of the American Mathematical Society, 1996 Oct 01. 9(4), 1187-1209.
Externí odkaz:
https://www.jstor.org/stable/2152920
Autor:
Martin, Florent, Kappen, Christian
Publikováno v:
Alg. Number Th. 11 (2017) 657-683
Let $k$ be a discretely valued non-Archimedean field. We give an explicit description of analytic functions whose norm is bounded by a given real number $r$ on tubes of reduced $k$-analytic spaces associated to special formal schemes (those include $
Externí odkaz:
http://arxiv.org/abs/1510.01178
Autor:
Mustata, Mircea, Nicaise, Johannes
We associate a weight function to pairs consisting of a smooth and proper variety X over a complete discretely valued field and a differential form on X of maximal degree. This weight function is a real-valued function on the non-archimedean analytif
Externí odkaz:
http://arxiv.org/abs/1212.6328
Autor:
Gubler, Walter
Publikováno v:
Invent. Math. 169, No.2, 321-376 (2007)
We associate to an analytic subvariety of a torus a tropical variety. In the first part, we generalize the results from tropical algebraic geometry to this non-archimedean analytic situation. The periodic case is applied to a totally degenerate abeli
Externí odkaz:
http://arxiv.org/abs/math/0609383
Autor:
Kontsevich, Maxim, Soibelman, Yan
In this paper we propose a way to construct an analytic space over a non-archimedean field, starting with a real manifold with an affine structure which has integral monodromy. Our construction is motivated by the junction of Homological Mirror conje
Externí odkaz:
http://arxiv.org/abs/math/0406564
Autor:
Cai, Yulin
We develop the intersection theory of non-archimedean analytic spaces and prove the projection formula and the GAGA principle. As an application, we naturally define the category of finite correspondences of analytic spaces.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb659766980acc7a67860b43838d0c4f