University of Cambridge > Talks.cam > Algebraic Geometry Seminar > Birational classification of universal Jacobians over the moduli space of curves

Birational classification of universal Jacobians over the moduli space of curves

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  • UserGavril Farkas (Berlin)
  • ClockWednesday 09 March 2011, 14:15-15:15
  • HouseMR13, CMS.

If you have a question about this talk, please contact Burt Totaro.

The universal Jacobian J_g is the fibration over the moduli space of curves with fibres being Jacobians of curves of genus g. I will discuss recent joint work with A. Verra where a complete classification of J_g by Kodaira dimension has been carried out. Thus J_g is a unirational variety when g is at most 9, has Kodaira dimension 0 (respectively 19) when g=10 (respectively g=11), and is of Kodaira dimension 3g-3 for all other cases.

This talk is part of the Algebraic Geometry Seminar series.

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