What is recorded here?
Proved resolution of singularities for algebraic varieties over fields of characteristic zero through the two-part construction and reduction developed across the 1964 papers.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
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.
Read the original work
- CiNii record for Hironaka resolution Part I
- CiNii record for Hironaka resolution Part II
- Encyclopedia of Mathematics entry on resolution of singularities
This English explanation is an editorial reading view. It does not replace the complete original work or certify its science.
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People and systems
Heisuke Hironaka
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.
Research locations and affiliations
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Documented countries / regions: United States, France
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English catalogue narrative
Hironaka: resolution of singularities in characteristic zero, Parts I–II
Proved resolution of singularities for algebraic varieties over fields of characteristic zero through the two-part construction and reduction developed across the 1964 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.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Heisuke Hironaka
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.