Scientists / Open questions

广中平祐

Heisuke Hironaka

代数几何、奇点消解

1970 年菲尔兹奖

3 个问题

  1. Smoothability of algebraic cycles below the middle dimension in positive characteristic: the surviving core of Hironaka's smoothing problem

  2. Stabilization of iterated Nash blow-ups along non-divisorial valuations: extending Hironaka's divisorial stabilization theorem

  3. Resolution of singularities in positive and mixed characteristic, dimension at least four: the open core left by Hironaka's 1964 characteristic-zero theorem

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