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arXiv · 1809.10191

On some properties of LS algebras

Rocco Chirivì
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Abstract

The discrete LS algebra over a totally ordered set is the homogeneous coordinate ring of an irreducible projective (normal) toric variety. We prove that this algebra is the ring of invariants of a finite abelian group containing no pseudo-reflection acting on a polynomial ring. This is used to study the Gorenstein property for LS algebras. Further we show that any LS algebra is Koszul.

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Rocco Chirivì. 2018-09-26. On some properties of LS algebras. https://doi.org/10.1142/s0219199718500852

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