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A proof of resolution of singularities in characteristic p > 0 and all dimensions.
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Heisuke Hironaka - Harvard University
A proof of resolution of singularities in characteristic p > 0 and all dimensions.
Resolution of Singularities of an Algebraic Variety Over a Field of ...
112 HEISUKE HIRONAKA which is isomorphic to a closed analytic subspace of a complex (resp. real) number space defined by polynomial equation and which piece together by means of rational coordinate transformation. As a matter of fact, we prove the resolution of singularities of an arbitrary algebraic scheme over a field of characteristic zero.
Complex Analytic Desingularization | SpringerLink
Hironaka’s ideas for resolution of singularities appear here in a purified and geometric form, in part because of the need to overcome the globalization problems appearing in complex analytic geometry.
Hironaka Heisuke | Mathematician, Algebraic Geometry, Resolution of ...
Hironaka Heisuke is a Japanese mathematician who was awarded the Fields Medal in 1970 for his work in algebraic geometry. Hironaka graduated from Kyōto University (1954) and Harvard University, Cambridge, Massachusetts, U.S. (Ph.D., 1960); at the latter he studied under Oscar Zariski.
A Path Less Taken to the Peak of the Math World
In particular, Hironaka taught Huh the nuances of singularity theory, the field where Hironaka had achieved his most famous results. Hironaka had also been trying for decades to find a proof of a major open problem — what’s called the resolution of singularities in characteristic p .
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