2 papers
cs.IT2026
Generalized Hamming Weights of AJ-Gorenstein One-Point Codes
Eliseo Sarmiento-Rosales, José Alberto Guzmán-Vega, Juan Carlos Jiménez-Cervantes
We study generalized Hamming weights along the one-point code flag of an AJ-Gorenstein curve. We organize these weights in a graded array, the zero diagram, whose entries are gener…
math.LO2026
Hindman and Owings-like theorems without the Axiom of Choice
José A. Guzmán-Vega, David J. Fernández Bretón, Eliseo Sarmiento Rosales
We investigate Hindman- and Owings-type Ramsey-theoretic statements in Zermelo-Fraenkel set theory without the Axiom of Choice, with some occasional extra assumptions (such as the…