On the geometric models of K3 surfaces with finite automorphism group and Picard number larger than two

Xavier Roulleau (University of Aix-Marseille)

21-May-2020, 11:00-12:00 (4 years ago)

Abstract: Vinberg and Nikulin classified K3 surfaces which have finite automorphism group and Picard number 4 and 3,5,..,19 respectively. That classification is lattice theoretic, according to the Neron-Severi group of these surfaces; there are 118 such lattices. In this talk I will discuss on the geometric construction of these surfaces (by double coverings or complete intersections) and describe their (finite) set of (-2)-curves, which gives the ample cone. Most of the moduli spaces of these K3 surfaces are unirational. A part of this talk is based on a joint work with Michela Artebani and Claudia Correa Diesler.

algebraic geometry

Audience: researchers in the topic


ZAG (Zoom Algebraic Geometry) seminar

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Organizers: Jesus Martinez Garcia*, Ivan Cheltsov*, Jungkai Chen, Jérémy Blanc, Ernesto Lupercio, Yuji Odaka, Zsolt Patakfalvi, Julius Ross, Cristiano Spotti, Chenyang Xu
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