On toric face rings II
classification
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math.CO
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toriccanonicalsingularitiesfaceringsweaklyassociatedcase
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We introduce the class of weakly log canonical singularities, a natural generalization of semi-log canonical singularities. Toric varieties (associated to toric face rings, possibly non-normal or reducible) which have weakly (semi-) log canonical singularities are classified. In the toric case, we discuss residues to lc centers of codimension one or higher.
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