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Torsion of differentials on toric varieties

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Abstract

We introduce an invariant for semigroups with cancellation property. When the semigroup equals the set of lattice points in a rational, polyhedral cone, then this invariant describes the torsion of the differential sheaf on the associated toric variety. Finally, as an example, we present the case of two-dimensional cones (corresponding to two-dimensional cyclic quotient singularities).

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Communicated by Karl H. Hofmann

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Altmann, K. Torsion of differentials on toric varieties. Semigroup Forum 53, 89–97 (1996). https://doi.org/10.1007/BF02574124

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  • DOI: https://doi.org/10.1007/BF02574124

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