Hermitian vector bundles and value distribution for Schubert cycles

Cowen, Michael J.

doi:10.1090/S0002-9947-1973-0333252-5

Hermitian vector bundles and value distribution for Schubert cycles
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by Michael J. Cowen

Trans. Amer. Math. Soc. 180 (1973), 189-228

DOI: https://doi.org/10.1090/S0002-9947-1973-0333252-5

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Abstract:

R. Bott and S. S. Chern used the theory of characteristic differential forms of a holomorphic hermitian vector bundle to study the distribution of zeroes of a holomorphic section. In this paper their methods are extended to study how often a holomorphic mapping into a Grassmann manifold hits Schubert cycles of fixed type.

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