11 citations · 30 across the 14 of their papers we have counts for
11 papers · 1 filter
Phylogenetic Trees and the Moduli Space of n Points on the Projective Line
Herwig Hauser, Jiayue Qi, Josef Schicho
This is an expository paper. The geometry of phylogenetic trees is used to present in an accessible and pleasant fashion the results of Deligne, Mumford, and Knudsen about the modu…
Arquile varieties -- varieties consisting of power series in a single variable
Herwig Hauser, Sebastian Woblistin
Arquile varieties are zerosets of polynomial, algebraic, analytic, or formal equations f(t,y_1,...,y_m) = 0 with solutions y(t) = (y_1(t),...,y_m(t)) in affine m-space over an alge…
Isosingular loci of algebraic varieties
Christopher Chiu, Herwig Hauser
We define the notion of isosingular loci of algebraic varieties, following the analytic case first studied by Ephraim. In particular, we give a partial extension of his main result…
Characterizing the increase of the residual order under blowup in positive characteristic
Herwig Hauser, Stefan Perlega
In characteristic zero, the residual order constitutes, after the local multiplicity, the second key invariant for the resolution of singularities. It is defined as the order of th…
Echelons of power series and Gabrielov's counterexample to nested linear Artin Approximation
M. E. Alonso, F. J. Castro-Jiménez, H. Hauser +1
Gabrielov's famous example for the failure of analytic Artin approximation in the presence of nested subring conditions is shown to be due to a growth phenomenon in standard basis…
Blowups and Resolution
Herwig Hauser
This article shall serve as a quick reference for somebody who needs precise information on concepts and results related to resolution of singularities. As such, it is more a techn…