15 citations · 27 across the 15 of their papers we have counts for
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An introduction to local tropicalization
Patrick Popescu-Pampu, Dmitry Stepanov
In this paper we explain four viewpoints on the local tropicalization of formal subgerms of toric germs, which is a local analog of the global tropicalization of subvarieties of al…
The Milnor fiber conjecture of Neumann and Wahl, and an overview of its proof
Maria Angelica Cueto, Patrick Popescu-Pampu, Dmitry Stepanov
Splice type surface singularities, introduced in 2002 by Neumann and Wahl, provide all examples known so far of integral homology spheres which appear as links of complex isolated…
Local tropicalizations of splice type surface singularities
Maria Angelica Cueto, Patrick Popescu-Pampu, Dmitry Stepanov
Splice type surface singularities were introduced by Neumann and Wahl as a generalization of the class of Pham-Brieskorn-Hamm complete intersections of dimension two. Their constru…
Three-dimensional isolated quotient singularities in even characteristic
Vladimir Shchigolev, Dmitry Stepanov
This paper is a complement to the work of the second author on modular quotient singularities in odd characteristic (see arXiv:1210.8006). Here we prove that if is a three-dime…
Universal valued fields and lifting points in local tropical varieties
D. A. Stepanov
Let be a field with a real valuation and a -algebra. We show that there exist a -algebra and a real valuation on extending such that any real ring…
Three-dimensional isolated quotient singularities in odd characteristic
D. A. Stepanov
Let a finite group G act linearly on a finite dimensional vector space V over an algebraically closed field k of characteristic p>2. Assume that the quotient V/G is an isolated sin…