A Simplified Game for Resolution of Singularities

zbMATH Open1325.14014arXiv1401.7759MaRDI QIDQ3194894

Publication date: 20 October 2015

Abstract: We will describe a combinatorial game that models the problem of resolution of singularities of algebraic varieties over a field of characteristic zero. By giving a winning strategy for this game, we give another proof of the existence of resolution.

Full work available at URL: https://arxiv.org/abs/1401.7759

Mathematics Subject Classification ID

Applications of game theory (91A80) Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Combinatorial games (91A46)

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