Koszul algebras and Gr\"obner bases of quadrics
Aldo Conca
TL;DR
This paper explores the properties of Koszul and G-quadratic algebras related to geometric objects like points, curves, and quadrics in low codimension, combining existing and new results.
Contribution
It provides new insights into the Koszul and G-quadratic properties of algebras associated with various geometric configurations.
Findings
Identification of conditions for Koszul property in specific algebra classes
Extension of known results to new algebraic structures
Clarification of G-quadratic properties in low codimension cases
Abstract
We present results, both old and new, concerning Koszul and G-quadratic properties of algebras associated with points, curves, cubics and spaces of quadrics of low codimension.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Algebraic structures and combinatorial models