Nef divisors on \( \M_{0,n} \) from GIT
Valery Alexeev
University of Georgia, Athens, United StatesDavid Swinarski
Fordham University, Bronx, USA
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Abstract
We introduce and study the GIT cone of , which is generated by the pullbacks of the natural ample line bundles on the GIT quotients . We give an explicit formula for these line bundles and prove a number of basic results about the GIT cone. As one application, we prove unconditionally that the log canonical models of with a symmetric boundary divisor coincide with the moduli spaces of weighted curves or with the symmetric GIT quotient, extending the result of Matt Simpson.