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Claudia Stadlmayr - Which rational double points occur on del Pezzo surfaces?

epiga:7041 - Épijournal de Géométrie Algébrique, November 29, 2021, Volume 5 - https://doi.org/10.46298/epiga.2021.7041
Which rational double points occur on del Pezzo surfaces?

Authors: Claudia Stadlmayr

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.


Volume: Volume 5
Published on: November 29, 2021
Accepted on: November 29, 2021
Submitted on: January 4, 2021
Keywords: Mathematics - Algebraic Geometry,14J17, 14J26, 14B05, 14G17


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