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UID:news1930@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20251022T170234
DTSTART;TZID=Europe/Zurich:20251028T103000
SUMMARY:Seminar Algebra and Geometry: Anne Schnattinger (Neuchâtel)
DESCRIPTION:Given a smooth hyperquadric Y in P^4\, we consider its blowup
  X along a smooth irreducible curve C contained in Y. We study the qu
 estion\, when X is a weak Fano threefold\, that is\, when it has a nef
  and big anticanonical divisor. We are able to give a complete classifi
 cation of such threefolds only depending on some geometric properties of
  C\, particularly its genus and degree. We introduce the main proof idea
 s which include the analysis of the linear system given by the antican
 onical divisor of X\, as well as studying curves contained in a smooth K3
  surface of degree 6.
X-ALT-DESC:<p>Given&nbsp\;a smooth hyperquadric&nbsp\;Y in P^4\, we conside
 r its blowup&nbsp\;X along&nbsp\;a smooth irreducible curve&nbsp\;C contai
 ned&nbsp\;in Y. We study&nbsp\;the question\, when&nbsp\;X is&nbsp\;a weak
 &nbsp\;Fano threefold\, that is\, when it&nbsp\;has a nef and big anticano
 nical divisor. We&nbsp\;are able to give&nbsp\;a complete&nbsp\;classifica
 tion of such threefolds only depending&nbsp\;on some geometric properties&
 nbsp\;of C\, particularly its genus&nbsp\;and degree. We introduce&nbsp\;t
 he main proof ideas which include&nbsp\;the analysis&nbsp\;of the linear&n
 bsp\;system given&nbsp\;by the anticanonical divisor of X\, as well&nbsp\;
 as studying curves contained in a smooth K3 surface of degree&nbsp\;6.</p>
DTEND;TZID=Europe/Zurich:20251028T120000
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