Gromov-Witten and Welschinger invariants of del Pezzo varieties
Thi-Ngoc-Anh Nguyen
TL;DR
This paper derives formulas to compute genus-0 Gromov-Witten and Welschinger invariants for certain three-dimensional del Pezzo varieties, extending previous results from projective space.
Contribution
It generalizes existing formulas from projective space to a broader class of del Pezzo varieties of dimension three.
Findings
Formulas for genus-0 Gromov-Witten invariants of del Pezzo varieties
Formulas for Welschinger invariants of del Pezzo varieties
Comparison method with two-dimensional cases
Abstract
In this paper, we establish formulas for computing genus- Gromov-Witten and Welschinger invariants of some del Pezzo varieties of dimension three by comparing to that of dimension two. These formulas are generalizations of that given in three-dimensional projective space by E. Brugall\'e and P. Georgieva in 2016.
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