Equivariant unirationality of del Pezzo surfaces of degree 3 and 4

2014/10/30 by Duncan, Alexander · 3 citations
#14J26 #14L30 #14M20 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1410.8434

Abstract

A variety X with an action of a finite group G is said to be G-unirational if there is a G-equivariant dominant rational map V -> X where V is a faithful linear representation of G. This generalizes the usual notion of unirationality. We determine when X is G-unirational for any complex del Pezzo surface X of degree at least 3.

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