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

@article{Belkale2018BasepointFC, title={Basepoint free cycles on \$\overline\{M\}_\{0,n\}\$ from Gromov-Witten theory.}, author={P. Belkale and A. Gibney}, journal={arXiv: Algebraic Geometry}, year={2018} }

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… Expand

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