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SUMMARY:Derived categories and rationality of conic bundles - Bolognesi\, 
 M (Rennes 1)
DTSTART:20110630T130000Z
DTEND:20110630T133000Z
UID:TALK31950@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:In this talk I present a joint work with Marcello Bernardara w
 here we show that a standard conic bundle on a rational minimal surface is
  rational if and only if its derived category admits a semiothogonal decom
 position via derived categories of smooth projective curves and exceptiona
 l objects. In particular\, even if the surface is not minimal\, such a dec
 omposition allows to reconstruct the intermediate Jacobian as the direct s
 um of the Jacobian of those curves.\n
LOCATION:Seminar Room 1\, Newton Institute
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