Irreducible rational curves in a K3 surface

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

• Jun Li (Stanford)
• Wednesday 26 January 2011, 14:15-15:15
• MR13, CMS.

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

We prove that every K3 surface of odd Picard number has infinitely many irreducible rational curves. The proof follows the method of Bogomolov-Hassett-Tschinkel, which uses that all (non-supersingular) K3 surfaces over finite fields have even Picard number. Using what we call “rigidifiers” and reduction to characteristic p, we construct rational curves of arbitrarily high degree by deforming rigid stable maps.

This talk is part of the Algebraic Geometry Seminar series.

This talk is included in these lists:

• Algebraic Geometry Seminar
• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Hanchen DaDaDash
• Interested Talks
• MR13, CMS
• School of Physical Sciences
• bld31

Note that ex-directory lists are not shown.