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On Toric Face Rings II

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Multigraded Algebra and Applications (NSA 2016)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 238))

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Abstract

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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Acknowledgements

I would like to thank Viviana Ene for useful discussions, and the anonymous referee for suggestions and corrections.

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Authors and Affiliations

  1. Institute of Mathematics Simion Stoilow of the Romanian Academy, P.O. BOX 1-764, 014700, Bucharest, Romania

    Florin Ambro

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  1. Florin Ambro
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Correspondence to Florin Ambro .

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Editors and Affiliations

  1. Faculty of Mathematics and Computer Science, Ovidius University, Constanţa, Romania

    Viviana Ene

  2. Department of Mathematics, Duke University, Durham, North Carolina, USA

    Ezra Miller

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Ambro, F. (2018). On Toric Face Rings II. In: Ene, V., Miller, E. (eds) Multigraded Algebra and Applications. NSA 2016. Springer Proceedings in Mathematics & Statistics, vol 238. Springer, Cham. https://doi.org/10.1007/978-3-319-90493-1_1

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