3 papers
math.AG2023
Desingularization of generic symmetric and generic skew-symmetric determinantal singularities
Sabrina Alexandra Gaube, Bernd Schober
We discuss how to resolve generic skew-symmetric and generic symmetric determinantal singularities. The key ingredients are (skew-) symmetry preserving matrix operations in order t…
cs.CC2023
Logical Characterization of Algebraic Circuit Classes over Integral Domains
Timon Barlag, Florian Chudigiewitsch, Sabrina Alexandra Gaube
We present an adapted construction of algebraic circuits over the reals introduced by Cucker and Meer to arbitrary infinite integral domains and generalize the $\mathrm{AC}_{\mathb…
math.AG2020
Algorithmic local monomialization of a binomial: a comparison of different approaches
Sabrina Alexandra Gaube, Bernd Schober
We investigate different approaches to transform a given binomial into a monomial via blowing up appropriate centers. In particular, we develop explicit implementations in {\sc Sin…