A counterexample to Hironaka's ''hard'' polyhedra game (Q5896205)
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scientific article; zbMATH DE number 3842042
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A counterexample to Hironaka's ''hard'' polyhedra game |
scientific article; zbMATH DE number 3842042 |
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A counterexample to Hironaka's ''hard'' polyhedra game (English)
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1982
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Hironaka has proposed a combinatorial game, played with Newton polyhedra of singularities, whose affirmative solution would imply the local uniformization theorem over a field of any characteristic. In this paper we give a counterexample to this game. However, our examples does not come from algebraic geometry (the game is a good bit stronger than the local uniformization theorem).
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Hironaka hard polyhedra game
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Newton pollyhedron
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resolution of singularities
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local uniformization theorem
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normal flatness
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blowing-up
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