Gromov–Witten theory of Hilbert schemes of points on elliptic surfaces with multiple fibers
Year: 2025
Type: article
Abstract: We study the Gromov-Witten theory of Hilbert schemes of points on elliptic surfaces with multiple fibers.We prove a vanishing theorem for the Gromov-Witten invariants of these Hilbert schemes, and compute the exceptional genus-0 case for the Hilbert schemes of two points on elliptic surfaces with exactly one multiple fiber.The strategy is to use the theory of cosection localization and compute a certain obstruction sheaf.
Source: Pacific Journal of Mathematics
Authors: Mazen M. Alhwaimel, Zhenbo Qin
Institutions: Qassim University, University of Missouri
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Funder: University of Missouri
OpenAlex ID: W4413900200