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math.NT2025
A closed formula for the Geil-Matsumoto bound on numerical semigroups via Apéry sets
Adler Marques, Erik Mendoza, Luciane Quoos +1
The Geil-Matsumoto bound (GM bound) constrains the number of rational points on a curve over a finite field in terms of the Weierstrass semigroup of any of the points on the curve.…
math.AG2025
On generalized Weierstrass Semigroups in arbitrary Kummer extensions of
Alonso S. Castellanos, Erik A. R. Mendoza, Guilherme Tizziotti
In this work, we investigate generalized Weierstrass semigroups in arbitrary Kummer extensions of function field . We analyze their structure and properties, with…