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Yoichi Miyaoka

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Name
  
Yoichi Miyaoka


Books
  
Geometry of Higher Dimensional Algebraic Varieties

Yoichi Miyaoka (Uni. of Tokyo) / Bogomolov-Miyaoka-Yau inequalities --- variants and applications


Yoichi Miyaoka (宮岡 洋一, Miyaoka Yōichi) is a mathematician who works in algebraic geometry and who proved (independently with Yau) the Bogomolov–Miyaoka–Yau inequality in an Inventiones Mathematicae paper (Miyaoka 1977).

In 1984, Miyaoka extended the Bogomolov–Miyaoka–Yau inequality to surfaces with quotient singularities, and in 2008 to orbifold surfaces. Doing so, he obtains sharp bound on the number of quotient singularities on surfaces of general type. Moreover, the inequality for orbifold surfaces gives explicit values for the coefficients of the so-called Lang-Vojta conjecture relating the degree of a curve on a surface with its geometric genus.

References

Yoichi Miyaoka Wikipedia


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