M0,n is not a Mori dream space Page 1 M0;n IS NOT A MORI DREAM SPACE ANA-MARIA
CASTRAVET and JENIA TEVELEV Abstract Building on the work of Goto, Nishida, and …

We show that coinvariants of modules over vertex operator algebras give rise to
quasicoherent sheaves on moduli of stable pointed curves. These generalize Verlinde …

Representations of certain vertex algebras, here called of CohFT-type, can be used to
construct vector bundles of coinvariants and conformal blocks on moduli spaces of stable …

A formula for the first Chern class of the Verlinde bundle over the moduli space of smooth
genus g curves is given. A finite-dimensional argument is presented in rank 2 using …

We describe new relations among conformal block divisors in Pic (M‾ 0, n). These relations
appear from various rank-level dualities of conformal blocks on P 1 with n-marked points …

We introduce and study the problem of finding necessary and sufficient conditions under
which a conformal blocks divisor on M¯ 0, n M _ 0, n is nonzero, solving the problem …

Conformal Blocks in Genus Zero and the KZ Connection | SpringerLink Skip to main content
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By using classical invariant theory, we reduce the S n-invariant F-conjecture to a feasibility
problem in polyhedral geometry. We show by computer that for n≤ 19, every integral S n …

We consider a conjecture that identifies two types of base point free divisors on M¯ 0, n. The
first arises from Gromov-Witten theory of a Grassmannian. The second comes from first …

We describe a relation between the invariants of n ordered points in projective d-space and
of points contained in a union of two linear subspaces. This yields an attaching map for GIT …