Chern number formula for ramified coverings

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概要

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• For a ramified covering f.Y→ X between compact complex manifolds, we establish a formula relating the Chern numbers of Y and X. We obtain the formula by localizing characteristic classes via the ech-de Rham cohomology theory. As corollaries, we deduce generalizations of such formulas as the Riemann-Hurwitz formula and a formula of Hirzebruch for the signature, as well as formulas, for other invariants such as the Todd genus.

• 社団法人 日本数学会の論文

著者

• Izawa Takeshi

  Department Of Mathematics Faculty Of Science Hokkaido University

• Izawa Takeshi

  Department Of Gnatho-oral Prosthetic Rehabilitation Nihon University School Of Dentistry At Matsudo

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