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arXiv · 1905.00143

Boundedness of regular del Pezzo surfaces over imperfect fields

Hiromu Tanaka
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Abstract

For a regular del Pezzo surface $X$, we prove that $|-12K_X|$ is very ample. Furthermore, we also give an explicit upper bound for the volume $K_X^2$ which depends only on $[k : k^p]$ for the base field $k$. As a consequence, we obtain the boundedness of geometrically integral regular del Pezzo surfaces.

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Hiromu Tanaka. 2019-05-01. Boundedness of regular del Pezzo surfaces over imperfect fields. https://arxiv.org/abs/1905.00143

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