# Enumerativity of virtual Tevelev degrees

@inproceedings{Lian2021EnumerativityOV, title={Enumerativity of virtual Tevelev degrees}, author={Carl Lian and Rahul Pandharipande}, year={2021} }

Tevelev degrees in Gromov-Witten theory are defined whenever there are virtually a finite number of genus g maps of fixed complex structure in a given curve class β through n general points of a target variety X. These virtual Tevelev degrees often have much simpler structure than general Gromov-Witten invariants. We explore here the question of the enumerativity of such counts in the asymptotic range for large curve class β. A simple speculation is that for all Fano X, the virtual Tevelev…

## 2 Citations

Tevelev degrees in Gromov-Witten theory

- Mathematics
- 2021

For a nonsingular projective variety X, the virtual Tevelev degree in Gromov-Witten theory is defined as the virtual degree of the morphism from Mg,n(X, d) to the productMg,n×X. After proving a…

Gromov-Witten Theory of Complete Intersections

- Mathematics
- 2021

We provide an inductive algorithm computing Gromov–Witten invariants with arbitrary insertions of all smooth complete intersections in projective space, with the exception of complete intersections…

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For a nonsingular projective variety X, the virtual Tevelev degree in Gromov-Witten theory is defined as the virtual degree of the morphism from Mg,n(X, d) to the productMg,n×X. After proving a…

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