非紧流形上的奇异全纯莫尔斯不等式

IF 0.2 Q4 MATHEMATICS

REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES Pub Date : 2023-04-26 DOI:10.59277/rrmpa.2023.61.82

Dan Coman, G. Marinescu, Hua Wang

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引用次数: 0

摘要

给出了具有代数奇点的厄米度量线束在可能非紧复流形上的上同调维数的渐近估计。给出了建立超凹流形、伪凸域、q-凸流形和q-凹流形奇异全纯Morse不等式的统一方法，并推广了相关的Berndtsson估计。我们还考虑了比代数奇点更一般的度量的情况。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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SINGULAR HOLOMORPHIC MORSE INEQUALITIES ON NON-COMPACT MANIFOLDS

We obtain asymptotic estimates of the dimension of cohomology on possibly non-compact complex manifolds for line bundles endowed with Hermitian metrics with algebraic singularities. We give a unified approach to establishing singular holomorphic Morse inequalities for hyperconcave manifolds, pseudoconvex domains, q-convex manifolds and q-concave manifolds, and we generalize related estimates of Berndtsson. We also consider the case of metrics with more general than algebraic singularities.

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来源期刊

REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES MATHEMATICS-

CiteScore

0.50

自引率

0.00%

发文量