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math.AG2020
A New Proof for the Embedded Resolution of Surface Singularities in Arbitrary Characteristic
Stefan Perlega
A new proof for the embedded resolution of surface singularities in a three-dimensional smooth ambient space over algebraically closed fields of arbitrary characteristic. The proof…
math.AG2019
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…