University of Cambridge > Talks.cam > Algebraic Geometry Seminar > A geometric characterization of toric varieties

A geometric characterization of toric varieties

Add to your list(s) Download to your calendar using vCal

  • UserRoberto Svaldi (Cambridge)
  • ClockWednesday 11 November 2015, 14:15-15:15
  • HouseCMS MR13.

If you have a question about this talk, please contact Caucher Birkar.

Given a pair (X, D), where X is a projective variety and D a divisor with mild singularities, it is natural to ask how to bound the number of components of D. In general such bound does not exist. But when -(K_X+D) is positive, i.e. ample (or nef), then a conjecture of Shokurov says this bound should coincide with the sum of the dimension of X and its Picard number. We prove the conjecture and show that if the bound is achieved, or the number of components is close enough to said sum, then X is a toric variety and D is close to being the toric invariant divisor. This is joint work with M. Brown, J. McKernan, R. Zong.

This talk is part of the Algebraic Geometry Seminar series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2017 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity