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SUMMARY:Matthias Schuett (Leibniz Universität Hannover)
DTSTART:20200716T153000Z
DTEND:20200716T163000Z
DTSTAMP:20260423T021235Z
UID:ZAG/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/32/">Rat
 ional curves on Enriques surfaces\, but only few</a>\nby Matthias Schuett 
 (Leibniz Universität Hannover) as part of ZAG (Zoom Algebraic Geometry) s
 eminar\n\n\nAbstract\nRational curves play a fundamental role for the stru
 cture of an Enriques surface. I will first review the general theory befor
 e focussing on the case of low degree rational curves. To this end\, I wil
 l discuss joint work with S. Rams (Krakow) which develops an explicit shar
 p bound on the number of rational curves of given degree relative to the d
 egree of the surface. The proof builds on a general argument in parallel t
 o the case of K3 surfaces which allows us to extend bounds of Miyaoka and 
 Degtyarev.\n
LOCATION:https://researchseminars.org/talk/ZAG/32/
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