132 citations · 314 across the 32 of their papers we have counts for
43 papers
Geometrically multiplicative non-archimedean norms
Michael Temkin, Grigory Zutler
Universally (or geometrically) multiplicative norms on Banach algebras over complete non-archimedean fields were used by Berkovich in his works on non-archimedean geometry, and lat…
Torsion-stabilized modular curves of level
Michael Temkin
This is the first paper of a project on new integral models of the modular curve . The final results for a general level will be obtained in the second p…
Relative and logarithmic resolution of singularities
Michael Temkin
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 pr…
Height reduction for local uniformization of varieties and non-archimedean spaces
Michael Temkin
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 pr…
Introduction to logarithmic geometry
Michael Temkin
These lecture notes provide an introduction to logarithmic geometry with a view towards recent applications in the desingularization theory.
Semistable reduction over thick log points
Alexander E. Motzkin, Michael Temkin
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 theo…