3 papers
math.LO2026
Definability via the tilting correspondence
Gessica Alecci, Ihsane Hadeg, Franziska Jahnke +2
We show that arithmetic definability of henselian valuations is preserved by the tilting correspondence. Moreover, we show that if a perfectoid valuation is arithmetically definabl…
math.AG2026
Linear Code Equivalence via Plücker Coordinates
Gessica Alecci, Giuseppe D'Alconzo
The assumed hardness of the Linear Code Equivalence problem (LCE) lies at the core of the security of the LESS signature scheme and other signature schemes with advanced functional…
math.AG2025
Classical Algebraic Geometry and Discrete Integrable Systems
Gessica Alecci, Michele Graffeo, Alexander Stokes
The aim of these notes is to present an accessible overview of some topics in classical algebraic geometry which have applications to aspects of discrete integrable systems. Precis…