Basepoint free cycles on $\overline{M}_{0,n}$ from Gromov-Witten theory

Prakash Belkale; Angela Gibney

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arXiv · 1809.02986

Basepoint free cycles on $\overline{M}_{0,n}$ from Gromov-Witten theory

Prakash Belkale·Angela Gibney

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Abstract

Basepoint free cycles on the moduli space $\overline{M}_{0,n}$ of stable n-pointed rational curves, defined using Gromov-Witten invariants of smooth projective homogeneous spaces X are studied. Intersection formulas to find classes are given, with explicit examples for X a projective space, and X a smooth projective quadric hypersurface. When X is projective space, divisors are shown equivalent to conformal blocks divisors for type A at level one, giving maps from $\overline{M}_{0,n}$ to birational models constructed as GIT quotients, parametrizing configurations of weighted points supported on (generalized) Veronese curves.

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BibTeX RIS

Prakash Belkale, Angela Gibney. 2018-09-09. Basepoint free cycles on $\overline{M}_{0,n}$ from Gromov-Witten theory. https://arxiv.org/abs/1809.02986

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