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SUMMARY:On the non-degeneracy of Enriques surfaces
DTSTART:20230523T141500
DTEND:20230523T160000
DTSTAMP:20260916T235732Z
UID:8f2728021c5aa83288abe69346e67ec4806e012b38702a640461d18f
CATEGORIES:Conferences - Seminars
DESCRIPTION:Gebhard Martin (University of Bonn)\nI will report on joint wo
 rk with G. Mezzedimi and D. Veniani on Enriques surfaces with small non-de
 generacy. The non-degeneracy of an Enriques surface X is the maximal leng
 th of an isotropic sequence of effective curves on X. Roughly speaking\, t
 he higher the non-degeneracy of an Enriques surface is\, the more well-beh
 aved are its projective models. For example\, Enriques surfaces of maxima
 l non-degeneracy 10 are isomorphic to surfaces of degree 10 in P^5. We pro
 ve that\, in characteristic different from 2\, every Enriques surface has 
 non-degeneracy at least 4\, which implies that all of them arise via Enriq
 ues’ classical construction as a minimal resolution of a sextic in P^3 w
 hich is non-normal along the edges of a tetrahedron and all Enriques surfa
 ces are birational to normal quintics in P^3.\n 
LOCATION:MA A3 30 https://plan.epfl.ch/?room==MA%20A3%2030
STATUS:CONFIRMED
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