3 papers
math.AG2016
Zariski-van Kampen theorems for singular varieties --- an approach via the relative monodromy variation
Christophe Eyral, Peter Petrov
The classical Zariski-van Kampen theorem gives a presentation of the fundamental group of the complement of a complex algebraic curve in . The first generalization of…
math.AG2015
Formal neighborhoods in arc spaces
Peter Petrov
The theorem of Greenberg-Kazhdan-Drinfeld describes the formal neighborhood of a closed arc. After giving a complete proof with examples, two possible versions for the relative cas…
math.AG2006
Nash problem for stable toric varieties
Peter Petrov
We present a solution for Nash problem for stable toric varieties. We also introduce Nash problem for pairs and prove it for toric pairs.