Symplectic rational G-surfaces and equivariant symplectic cones

2017/08/24 by Chen, Weimin, Li, Tian-Jun, Wu, Weiwei · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1708.07500

Abstract

We give characterizations of a finite group G acting symplectically on a rational surface (ℂP² blown up at two or more points). In particular, we obtain a symplectic version of the dichotomy of G-conic bundles versus G-del Pezzo surfaces for the corresponding G-rational surfaces, analogous to a classical result in algebraic geometry. Besides the characterizations of the group G (which is completely determined for the case of ℂP²# NℂP², N=2,3,4), we also investigate the equivariant symplectic minimality and equivariant symplectic cone of a given G-rational surface.

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• Symplectic configurations: a homological and computer-aided approach

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