Zobrazeno 1 - 10
of 128
pro vyhledávání: '"Temkin, Michael"'
Autor:
Hübner, Katharina, Temkin, Michael
We study the structure of adic curves over an affinoid field of arbitrary rank. In particular, quite analogously to Berkovich geometry we classify points on curves, prove a semistable reduction theorem in the version of Ducros' triangulations, define
Externí odkaz:
http://arxiv.org/abs/2406.07414
Autor:
Temkin, Michael
These lecture notes provide a unified overview of most known canonical desingularization methods in characteristic zero. It starts with discussing the classical method, and then proceeds with the recently discovered ones: logarithmic desingularizatio
Externí odkaz:
http://arxiv.org/abs/2303.00407
Autor:
Temkin, Michael
It is known since the works of Zariski that the essential difficulty in the local uniformization problem is met already in the case of valuations of height one. In this paper we prove that local uniformization of schemes and non-archimedean analytic
Externí odkaz:
http://arxiv.org/abs/2301.09160
Autor:
Temkin, Michael
These lecture notes provide an introduction to logarithmic geometry with a view towards recent applications in the desingularization theory.
Comment: 27 pages, first version, comments are welcome
Comment: 27 pages, first version, comments are welcome
Externí odkaz:
http://arxiv.org/abs/2209.11976
Autor:
Motzkin, Alexander E., Temkin, Michael
We establish a version of a semistable reduction theorem over a log point with a non-trivial nilpotent structure. In order to do this we extend the classical desingularization theories to non-reduced schemes with generically principal nilradical.
Externí odkaz:
http://arxiv.org/abs/2204.09318
Autor:
Temkin, Michael
We develop the theory of pinchings for non-archimedean analytic spaces. In particular, we show that although pinchings of affinoid spaces do not have to be affinoid, pinchings of Hausdorff analytic spaces always exist in the category of analytic spac
Externí odkaz:
http://arxiv.org/abs/2105.13692
Autor:
Temkin, Michael, Tyomkin, Ilya
Given a complete real-valued field $k$ of residue characteristic zero, we study properties of a differential form $\omega$ on a smooth proper $k$-analytic curve $X$. In particular, we associate to $(X,\omega)$ a natural tropical reduction datum combi
Externí odkaz:
http://arxiv.org/abs/2005.01397
In characteristic zero, we construct relative principalization of ideals for logarithmically regular morphisms of logarithmic schemes, and use it to construct logarithmically regular desingularization of morphisms. These constructions are relatively
Externí odkaz:
http://arxiv.org/abs/2003.03659
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