Quotients of Fano Surfaces
Xavier Roulleau
TL;DR
This paper investigates the quotients of Fano surfaces by automorphism subgroups, leading to the construction of new interesting surfaces of general type from smooth cubic threefolds.
Contribution
It introduces a systematic study of automorphism quotients of Fano surfaces, revealing new surfaces of general type.
Findings
Identification of quotient surfaces with interesting properties
Construction of new surfaces of general type from cubic threefolds
Analysis of automorphism groups of Fano surfaces
Abstract
Fano surfaces parametrize the lines of smooth cubic threefolds. In this paper, we study their quotients by some of their automorphism sub-groups. We obtain in that way some interesting surfaces of general type.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Geometric and Algebraic Topology