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arXiv · 1304.5555

Regular del Pezzo surfaces with irregularity

Zachary Maddock
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Abstract

We construct the first examples of regular del Pezzo surfaces for which the irregularity (i.e. the dimension of the first cohomology group of the structure sheaf) is nonzero. We also find a restriction on the integer pairs that are possible as the anti-canonical degree and irregularity of such a surface.

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Zachary Maddock. 2013-04-19. Regular del Pezzo surfaces with irregularity. https://arxiv.org/abs/1304.5555

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