On some properties of LS algebras
Commutative Algebra
2018-12-03 v3 Algebraic Geometry
Combinatorics
Representation Theory
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.
Keywords
Cite
@article{arxiv.1809.10191,
title = {On some properties of LS algebras},
author = {Rocco Chirivì},
journal= {arXiv preprint arXiv:1809.10191},
year = {2018}
}
Comments
11 pages, minor editing in references, accepted by Communications in Contemporary Mathematics