Higher rank Segre integrals over the Hilbert scheme of points

Wednesday, 6 December, 2017

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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.


Alina Marian
Dragos Oprea
Rahul Pandharipande