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On the cone of effective cycles on the symmetric products of curves

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Flippo Viviani (Rome) - Seminar Algebraic Geometry (SAG)

What
  • Seminar
When Jul 12, 2018
from 10:30 am to 11:30 am
Where Bonn, Hörsaal MPI, Vivatsgasse 7
Contact Name Sachinidis
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I will report on a joint work with F. Bastianelli, A. Kouvidakis and A. F. Lopez in which we study the cone of (pseudo-)effective cycles on symmetric products of a curve.   We first prove that the diagonal cycles span a face of the pseudo-effective cone of cycles in any given dimension. Secondly, we  look at the contractibility faces associated to the Abel-Jacobi morphism towards the Jacobian and in many cases we are able to compute   their dimensions.


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