Abstract
We introduce and study the problem of finding necessary and sufficient conditions under which a conformal blocks divisor on \( {\overline{\mathrm{M}}}_{0,n} \) is nonzero, solving the problem completely for \( \mathfrak{s}{\mathfrak{l}}_2 \). We give necessary nonvanishing conditions in type A, which are sufficient when theta and critical levels coincide. We also show divisors are subject to additive identities, reflecting a decomposition of the weights and level.
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BELKALE, P., GIBNEY, A. & MUKHOPADHYAY, S. NONVANISHING OF CONFORMAL BLOCKS DIVISORS ON \( {\overline{\mathrm{M}}}_{0,n} \) . Transformation Groups 21, 329–353 (2016). https://doi.org/10.1007/s00031-015-9357-2
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DOI: https://doi.org/10.1007/s00031-015-9357-2