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Moduli spaces of 2-bundles on the projective plane

Piero Coronica
Institution: 
SISSA
Schedule: 
Thursday, May 9, 2013 - 16:00 to 17:30
Location: 
A-136
Abstract: 

In the study of moduli spaces of bundles the construction of  the moduli space of 2-bundles on the projective plane is one of the  first examples. In this talk we will sketch the construction of M(0,n), the space  parametrizing stable 2-bundles with trivial first Chern class and  second Chern class n>=0, relating it to the moduli space of complete  intersection of three quadrics. In this way we will define a morphism  of M(0,n) into the space of degree n curves in the dual projective  plane. In particular for n=2 this morphism identifies M(0,2) with the  space of nonsingular conics.

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