The winning strategy for Hironaka's polyhedra game is almost arbitrary

DOI10.1016/j.jpaa.2010.12.005zbMath1215.14053OpenAlexW1983363158MaRDI QIDQ538063

Sheng-Ming Ma, Zhi Ming Zheng

Publication date: 23 May 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.12.005

zbMATH Keywords

resolution of singularitiestwo-player gameNewton polyhedra

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) 2-person games (91A05) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Singularities in algebraic geometry (14B05)

Cites Work

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• A short solution to Hironaka's polyhedra game
• The Hironaka theorem on resolution of singularities (Or: A proof we always wanted to understand)
• Three power series techniques

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