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SUMMARY:On the Fano variety of linear spaces contained in two odd-dimensio
 nal quadrics
DTSTART;VALUE=DATE:20171206
DTSTAMP:20260916T191108Z
UID:89be60c57a3147270f66b558460e2d9dac88c029d53f4aa492dd828c
CATEGORIES:Conferences - Seminars
DESCRIPTION:Cinzia Casagrande (Università degli Studi di Torino)\nI will 
 describe the geometry of the 2m-dimensional Fano manifold G parametrizing 
 (m-1)-planes in a smooth complete intersection Z of two quadric hypersurfa
 ces in the complex projective space of dimension 2m+2. We will see that th
 ere are exactly 2^{2m+2} distinct isomorphisms in codimension one between 
 G and the blow-up of P^{2m} at 2m + 3 general points\, parametrized by the
  2^{2m+2} distinct m-planes contained in Z. This birational maps allow to 
 determine the cones of nef\, movable and effective divisors of G\, and the
  automorphism group of G. This generalizes to arbitrary even dimension the
  classical description of quartic del Pezzo surfaces (m = 1). This is a jo
 int work with Carolina Araujo (IMPA).
LOCATION:MA A1 10 https://plan.epfl.ch/?room=MAA110
STATUS:CONFIRMED
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