24 citations · 153 across the 33 of their papers we have counts for
Showing math.AGShow all
3 papers · 1 filter
math.AG2023★ 2 cited
Algebraic Geometry codes in the sum-rank metric
Elena Berardini, Xavier Caruso
We introduce the first geometric construction of codes in the sum-rank metric, which we called linearized Algebraic Geometry codes, using quotients of the ring of Ore polynomials w…
math.AG2019
Gr{ö}bner bases over Tate algebras
Xavier Caruso, Tristan Vaccon, Thibaut Verron
Tate algebras are fundamental objects in the context of analytic geometry over the p-adics. Roughly speaking, they play the same role as polynomial algebras play in classical algeb…
math.AG2010
Models of mu_{p^2,K} over a discrete valuation ring
Dajano Tossici, Xavier Caruso
Let R be a discrete valuation ring with residue field of characteristic p>0. Let K be its fraction field. We prove that any finite and flat R-group scheme, isomorphic to μ_{p^2,K}…