most citedStructure-preserving approximations of the Serre-Green-Naghdi equations in standard and hyperbolic form

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math.AG2026

Infinitesimal rational actions

Bianca Gouthier

For any finite -group scheme acting rationally on a -variety, if the action is generically free then the dimension of is upper bounded by the dimension…

math.AG2026

Dual of Algebraic Geometry codes from Hirzebruch surfaces

Alix Barraud

In this paper, we give an explicit form for the dual of the algebraic geometry code defined on an Hirzebruch surface and parametrized by the divisor $aS_…

math.AG2026

Abelian surfaces over finite fields containing no curves of genus or less

Elena Berardini, Alejandro Giangreco Maidana, Stefano Marseglia

We study abelian surfaces defined over finite fields which do not contain any possibly singular curve of genus less than or equal to . Firstly, we complete and expand the charac…

math.AG2026

On the cohomological representations of finite automorphism groups of singular curves and compact complex spaces

Qing Liu, Wenfei Liu

Let G be a finite group acting tamely on a proper reduced curve C over an algebraically closed field. We study the G-module structure on the cohomology groups of a G-equivariant lo…

math.AG2025

Iterated polynomials are dense

Pascal Autissier, Jean-Philippe Furter, Egor Yasinsky

For any infinite field k and any positive integer r, we show constructively that the map sending each polynomial P k[x] to its r-th iterate is dominant in various inductive l…