Quasihomogeneity of curves and the Jacobian endomorphism ring
Michel Granger, Mathias Schulze
TL;DR
This paper establishes a quasihomogeneity criterion for Gorenstein curves, linking it to normalization algorithms and providing a simplified proof of a known criterion, thereby advancing understanding of curve singularities.
Contribution
It introduces a new quasihomogeneity criterion for Gorenstein curves and connects it to Vasconcelos' normalization process, also simplifying the Kunz-Ruppert criterion proof.
Findings
Quasihomogeneity criterion for Gorenstein curves established
Connection to Vasconcelos' normalization algorithm for complete intersections
Simplified proof of the Kunz-Ruppert criterion provided
Abstract
We give a quasihomogeneity criterion for Gorenstein curves. For complete intersections, it is related to the first step of Vasconcelos' normalization algorithm. In the process, we give a simplified proof of the Kunz-Ruppert criterion.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Polynomial and algebraic computation · Commutative Algebra and Its Applications