2022arXiv (Cornell University)Open access

Rank zero Segre integrals on Hilbert schemes of points on surfaces

Yuan Yao

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Abstract

We prove the conjecture of Marian-Oprea-Pandharipande on the Segre series associated to a rank zero class. Hence the rank zero Segre integrals on the Hilbert schemes of points for all surfaces are determined.

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What this paper is about

We prove the conjecture of Marian-Oprea-Pandharipande on the Segre series associated to a rank zero class. Hence the rank zero Segre integrals on the Hilbert schemes of points for all surfaces are determined.

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Available abstract

We prove the conjecture of Marian-Oprea-Pandharipande on the Segre series associated to a rank zero class. Hence the rank zero Segre integrals on the Hilbert schemes of points for all surfaces are determined.

Key concepts: Rank (graph theory), Zero (linguistics), Mathematics, Conjecture, Series (stratigraphy), Class (philosophy), Hilbert scheme, Pure mathematics

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