具有7阶自同构的假投影平面

Topology Pub Date : 2006-09-01 DOI:10.1016/j.top.2006.06.006

JongHae Keum

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引用次数: 34

摘要

伪射影平面是一个紧致复曲面(一个2维的紧致复流形)，它与复射影平面具有相同的贝蒂数，但与复射影平面不同构。正如芒福德所证明的那样，至少存在一个这样的曲面。本文证明了与Dolgachev曲面的7次循环覆盖相关的假投影平面的存在性。

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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A fake projective plane with an order 7 automorphism

A fake projective plane is a compact complex surface (a compact complex manifold of dimension 2) with the same Betti numbers as the complex projective plane, but not isomorphic to the complex projective plane. As was shown by Mumford, there exists at least one such surface.

In this paper we prove the existence of a fake projective plane which is birational to a cyclic cover of degree 7 of a Dolgachev surface.

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来源期刊

Topology 数学-数学

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0.00%

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审稿时长

1 months