Hironaka: resolution of singularities in characteristic zero, Parts I–II

What changed

Established resolution of singularities for algebraic varieties in characteristic zero across two papers.

Scientific scope

The record treats Hironaka's 1964 Parts I and II as one exact two-part result. It is restricted to characteristic zero as stated and does not claim general resolution in positive characteristic or absorb later functorial and algorithmic refinements.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record treats Hironaka's 1964 Parts I and II as one exact two-part result. It is restricted to characteristic zero as stated and does not claim general resolution in positive characteristic or absorb later functorial and algorithmic refinements.

Contributors

• Heisuke Hironaka · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.

• CiNii record for Hironaka resolution Part I
• CiNii record for Hironaka resolution Part II
• Encyclopedia of Mathematics entry on resolution of singularities

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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