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math.AG2019
Computing the equisingularity type of a pseudo-irreducible polynomial
Adrien Poteaux, Martin Weimann
Germs of plane curve singularities can be classified accordingly to their equisingularity type. For singularities over C, this important data coincides with the topological class.…
math.AG2019
Using approximate roots for irreducibility and equi-singularity issues in K[[x]][y]
Adrien Poteaux, Martin Weimann
We provide an irreducibility test in the ring K[[x]][y] whose complexity is quasi-linear with respect to the valuation of the discriminant, assuming the input polynomial F square-f…