360 citations · 2.7k across the 89 of their papers we have counts for
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The moduli space of twisted canonical divisors
Gavril Farkas, Rahul Pandharipande
The moduli space of canonical divisors (with prescribed zeros and poles) on nonsingular curves is not compact since the curve may degenerate. We define a proper moduli space of twi…
Segre classes and Hilbert schemes of points
Alina Marian, Dragos Oprea, Rahul Pandharipande
We prove a closed formula for the integrals of the top Segre classes of tautological bundles over the Hilbert schemes of points of a K3 surface X. We derive relations among the Seg…
Curve counting on abelian surfaces and threefolds
Jim Bryan, Georg Oberdieck, Rahul Pandharipande +1
We study the enumerative geometry of algebraic curves on abelian surfaces and threefolds. In the abelian surface case, the theory is parallel to the well-developed study of the red…