Higher rank Segre integrals over the Hilbert scheme of points

Wednesday, 6 December, 2017

Published in: 

arXiv:1712.02382

Let S be a nonsingular projective K-trivial surface, and let V be a vector bundle on S of rank s. We calculate the top Segre class of the tautological bundle over the Hilbert scheme of n points of S associated to V. In the rank s=1 case, our result specializes to Lehn's previously conjectured formula.

Author(s): 

Alina Marian
Dragos Oprea
Rahul Pandharipande