Degenerations of Del Pezzo surfaces and the Gromov-Witten invariants of the Hilbert Scheme of conics
Izzet Coskun
TL;DR
This paper studies how Del Pezzo surfaces degenerate and how these degenerations affect the calculation of their Gromov-Witten invariants, providing new insights into enumerative geometry.
Contribution
It introduces a degeneration approach to compute Gromov-Witten invariants of the Hilbert scheme of conics on Del Pezzo surfaces, a novel method in the field.
Findings
Derived formulas for characteristic numbers of Del Pezzo surfaces
Established connections between degenerations and Gromov-Witten invariants
Enhanced understanding of enumerative geometry of Del Pezzo surfaces
Abstract
We investigate the characteristic numbers of Del Pezzo surfaces using degenerations.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Advanced Differential Equations and Dynamical Systems