Journal of the Ramanujan Mathematical Society

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Singular Loci of Hibi Toric Varieties


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1 Department of Mathematics, Northeastern University, Boston, MA-02115, United States
     

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We first construct explicit bases for the cotangent spaces at singular points on Hibi toric varieties, i.e., toric varieties associated to finite distributive lattices. We then determine the singular loci of these toric varieties.
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  • Singular Loci of Hibi Toric Varieties

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Authors

V. Lakshmibai
Department of Mathematics, Northeastern University, Boston, MA-02115, United States
H. Mukherjee
Department of Mathematics, Northeastern University, Boston, MA-02115, United States

Abstract


We first construct explicit bases for the cotangent spaces at singular points on Hibi toric varieties, i.e., toric varieties associated to finite distributive lattices. We then determine the singular loci of these toric varieties.