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arXiv · 2009.14183

Which rational double points occur on del Pezzo surfaces?

Claudia Stadlmayr
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Abstract

We determine all configurations of rational double points that occur on RDP del Pezzo surfaces of arbitrary degree and Picard rank over an algebraically closed field $k$ of arbitrary characteristic ${\rm char}(k)=p \geq 0$, generalizing classical work of Du Val to positive characteristic. Moreover, we give simplified equations for all RDP del Pezzo surfaces of degree $1$ containing non-taut rational double points.

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Claudia Stadlmayr. 2020-09-29. Which rational double points occur on del Pezzo surfaces?. https://doi.org/10.46298/epiga.2021.7041

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