Algebraic Geometry Seminar: Ana-Maria Castravet (Ohio State)

  • Date: 03/12/2012
  • Time: 15:10
Ana-Maria Castravet, Ohio State University.

University of British Columbia


Rigid curves on moduli spaces of stable rational curves and arithmetic breaks




The Mori cone of curves of the Grothendieck-Knudsen moduli space of
stable rational curves with n markings, is conjecturally generated by
the one-dimensional strata (the so-called F-curves). A result of Keel
and McKernan states that a hypothetical counterexample must come from
rigid curves that intersect the interior. In this talk I will show
several ways of constructing rigid curves. In all the examples a
reduction mod p argument shows that the classes of the rigid curves that
we construct can be decomposed as sums of F-curves. This is joint work
with Jenia Tevelev.



3:10pm in WMAX 110

Other Information: 

For other info please see the Math Events page.