[過去ﾛｸﾞ] 純粋・応用数学・数学隣接分野（含むガロア理論）13 (1002ﾚｽ)
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962: 2023/07/31(月)09:28 ID:jznoxopE(12/50) AA×


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962: [] 2023/07/31(月) 09:28:09.44 ID:jznoxopE So, instead of analyzing the L^2 cohomology with respect to singular fiber metrics, we shall avoid the singularities by simply removing them from the manifold and consider the L^2 cohomology of the complement, which turns out to have similar finite-dimensionality property because of the L^2 estimate on complete Hermitian manifolds. Such an argument is restricted to the cases where the singularities of the fiber metic are isolated. As a technique, it was first introduced in [D-Oh-3] to estimate the Bergman distances. It is useful for other purposes and applied also in [Oh-3,4,5,6], but will be repeated here for the sake of the reader’s convenience. http://rio2016.5ch.net/test/read.cgi/math/1674527723/962

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