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arXiv 0901.3211math.AGmath.AT
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具有椭圆同伦型的紧致Kähler流形

Compact Kähler manifolds with elliptic homotopy type

Jaume Amorós, Indranil Biswas

摘要:

用Hodge菱形刻画了具有椭圆同伦型的3维以下单连通紧致Kähler流形。本文将其应用于单连通Kähler曲面和椭圆同伦型Fano三重曲面的分类。

英文摘要:

Simply connected compact Kähler manifolds of dimension up to three with elliptic homotopy type are characterized in terms of their Hodge diamonds. This is applied to classify the simply connected Kähler surfaces and Fano threefolds with elliptic homotopy type.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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