Rational curves on Enriques surfaces, but only few

Matthias Schuett (Leibniz Universität Hannover)

16-Jul-2020, 15:30-16:30 (4 years ago)

Abstract: Rational curves play a fundamental role for the structure of an Enriques surface. I will first review the general theory before focussing on the case of low degree rational curves. To this end, I will discuss joint work with S. Rams (Krakow) which develops an explicit sharp bound on the number of rational curves of given degree relative to the degree of the surface. The proof builds on a general argument in parallel to the case of K3 surfaces which allows us to extend bounds of Miyaoka and Degtyarev.

algebraic geometry

Audience: researchers in the topic


ZAG (Zoom Algebraic Geometry) seminar

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