arXiv 1503.025122015-03math.CVmath.AGmath.DG

Segre形式与Kobayashi-Lübke不等式

Segre forms and Kobayashi-Lübke inequality

Simone Diverio

备注：: 14 pages, no figures, comments are really very welcome! v2: Title changed, and added how to formally derive our main inequality from the Kobayashi-Lübke one following the suggestions of an anonymous referee. v3: some other minor changes and a remark added in the introduction following referee's suggestions. Final version, to appear on Math. Z

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摘要：

从把Segre形式描述为重言式线丛的第一Chern形式在全纯Hermitian向量丛的射影化丛上的（幂）的直接象出发，我们得到了点态Kobayashi-Lübke不等式的一个形式.

英文摘要：

Starting from the description of Segre forms as direct images of (powers of) the first Chern form of the (anti)tautological line bundle on the projectivized bundle of a holomorphic hermitian vector bundle, we derive a version of the pointwise Kobayashi-Lübke inequality.

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