3 papers
math.AG2026
Rank jumps for Jacobians of Hyperelliptic curves on K3 surfaces
Ander Arriola Corpion, CecÃlia Salgado
We study Mordell-Weil rank jumps on families of jacobians of a pencil of genus-2 curves on a K3 surface defined over a number field k. We exhibit a finite extension l/k over which…
math.AG2026
Hierarchical Locally Recoverable Codes on surfaces
Carolina Araujo, Luana Costa, Beth Malmskog +4
We construct locally recoverable codes with hierarchy from surfaces in admitting a fibration by curves of Artin-Schreier or Kummer type. We derive the parameters of…
math.AG2025
Locally Recoverable Codes with availability from a family of fibered surfaces
CecÃlia Salgado, Cecília Salgado, Lara Vicino
We construct Locally Recoverable Codes (LRCs) with availability from a family of fibered surfaces. To obtain the locality and availability properties, and to estimate the minim…