9 citations · 9 across the 2 of their papers we have counts for
3 papers
math.NT2017
Characteristic polynomials of p-adic matrices
Xavier Caruso, David Roe, Tristan Vaccon
We analyze the precision of the characteristic polynomial of an p-adic matrix A using differential precision methods developed previously. When A is integral with preci…
math.NT2015★ 9 cited
p-Adic Stability In Linear Algebra
Xavier Caruso, David Roe, Tristan Vaccon
Using the differential precision methods developed previously by the same authors, we study the p-adic stability of standard operations on matrices and vector spaces. We demonstrat…
math.NT2006
Bounding Picard numbers of surfaces using p-adic cohomology
Timothy G. Abbott, Kiran S. Kedlaya, David Roe
Motivated by an application to LDPC (low density parity check) algebraic geometry codes described by Voloch and Zarzar, we describe a computational procedure for establishing an up…