The Gauss Algebra of squarefree Veronese algebras
Somayeh Bandari, Raheleh Jafari
TL;DR
This paper studies the Gauss algebra associated with squarefree Veronese algebras generated in degree 3, providing explicit descriptions for small dimensions and establishing their algebraic properties.
Contribution
It explicitly determines the Gauss algebra for small-dimensional squarefree Veronese algebras and proves its normality and Cohen-Macaulayness.
Findings
Gauss algebra generators specified for dimensions ≤ 7
Gauss algebra shown to be normal
Gauss algebra shown to be Cohen-Macaulay
Abstract
We investigate the Gauss algebra for squarefree Veronese algebras generated in degree . For small dimensions not exceeding , we determine the Gauss algebra by specifying its generators and show in particular that it is normal and Cohen-Macaulay.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Algebraic Geometry and Number Theory