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SUMMARY:MODULI SPACES OF SHEAVES AND BLOW-UPS OF PROJECTIVE - Inder Kaur (
 Loughborough University)
DTSTART:20240530T150000Z
DTEND:20240530T160000Z
UID:TALK217444@talks.cam.ac.uk
DESCRIPTION:The Gale correspondence provides a duality between sets of n g
 eneral points inprojective spaces Ps and Pr when n equals r + s + 2. By a 
 result of Mukai\, the blow-up of P4at 8 points say X\, can be realized as 
 a moduli space of torsion-free rank 2 semi-stable sheaves(with certain fix
 ed Chern class datum) on the blow-up of P2 in 8 Gale dual points. In a rec
 entwork\, Casagrande\, Codogni and Fanelli use this to describe the Mori c
 hamber decomposition ofthe effective cone of divisors of X. It was shown b
 y Castravet and Tevelev that the blow-up ofPr at n points for the case whe
 n r &ge\; 5 and n &ge\; r + 4 is no longer a Mori dream space. In jointwor
 k with Carolina Araujo\, Ana-Maria Castravet and Diletta Martinelli we sho
 w that even inthis case it is possible to give a Mori chamber type decompo
 sition for a part of the effectivecone.1
LOCATION:Seminar Room 2\, Newton Institute
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