Basepoint free cycles on M₀,ₙ from Gromov-Witten theory
Belkale, Prakash · Gibney, Angela
Original · EN
Basepoint free cycles on the moduli space M₀,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 M₀,ₙ to birational models constructed as GIT quotients, parametrizing configurations of weighted points supported on (generalized) Veronese curves.
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