Ambrus Pal (Imperial College): An arithmetic Yau-Zaslow formula

I will talk about how to prove an arithmetic refinement of the Yau-Zaslow formula by replacing the classical Euler characteristic in Beauville's argument by a variant of Levine's motivic Euler characteristic.  We derive several similar formulas for other related invariants, including Saito's determinant of cohomology, and a generalisation of a formula of Kharlamov and Rasdeaconu on counting real rational curves on real K3 surfaces. Joint work with Frank Neumann.

Published Apr. 10, 2019 7:52 PM - Last modified Apr. 10, 2019 7:52 PM