This paper builds Welschinger-Witt invariants and proves they match quadratic Gromov-Witten invariants for k-rational del Pezzo surfaces of degree at least 6, conjecturing agreement in general.
Gromov-Witten and Welschinger invariants of del Pezzo varieties
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abstract
In this paper, we establish formulas for computing genus-$0$ 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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Welschinger--Witt invariants
This paper builds Welschinger-Witt invariants and proves they match quadratic Gromov-Witten invariants for k-rational del Pezzo surfaces of degree at least 6, conjecturing agreement in general.