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SUMMARY:Giacomo Mezzedimi (Hannover)
DTSTART:20220228T151500Z
DTEND:20220228T161500Z
DTSTAMP:20260423T005807Z
UID:LAGeNT/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGeNT/23/">
 Projective models of Enriques surfaces via elliptic curves</a>\nby Giacomo
  Mezzedimi (Hannover) as part of Leiden Algebra\, Geometry\, and Number Th
 eory Seminar\n\n\nAbstract\nEnriques surfaces form one of the four classes
  of algebraic surfaces of Kodaira dimension zero in the Enriques-Kodaira c
 lassification. The first examples of Enriques surfaces were constructed by
  Enriques as minimal desingularizations of certain non-normal sextics in P
 ^3\, which are now called Enriques sextics. The goal of this talk will be 
 to show that every Enriques surface over an algebraically closed field of 
 characteristic different from 2 can be realized as the minimal desingulari
 zation of an Enriques sextic. I will introduce the main tool used in the p
 roof\, namely isotropic sequences\, and I will show how the presence of ma
 ny elliptic fibrations on the surface leads to "good" projective models. I
  will then discuss some geometric implications of the result and some rele
 vant examples. This is joint work in progress with Gebhard Martin and Davi
 de Veniani.\n
LOCATION:https://researchseminars.org/talk/LAGeNT/23/
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