1 citations · 1 across the 3 of their papers we have counts for
5 papers
The structure of automorphism groups of zero-dimensional monomial algebras
Roberto Díaz, Giancarlo Lucchini Arteche, Gonzalo Manzano-Flores
Let be a zero-dimensional monomial algebra over an algebraically closed field of characteristic zero, that is, a finite-dimensional quotient of a polynomial ring by a monomial…
Arithmetic genus inequalities with an application to sums of squares
David Grimm, Gonzalo Manzano-Flores
We show variants of the genus inequality for the irreducible components of the special fiber of an arithmetic curve over a henselian discrete valuation ring of residue characterist…
The Automorphism groups of zero-dimensional monomial algebras
Roberto Díaz, Alvaro Liendo, Gonzalo Manzano-Flores +1
A monomial algebra B is defined as a quotient of a polynomial ring by a monomial ideal, which is an ideal generated by a finite set of monomials. In this paper, we determine the au…
Sums of squares in function fields over a henselian valued field
Karim Johannes Becher, Nicolas Daans, David Grimm +2
The Pythagoras number of a field is the smallest natural number such that every sum of squares in the field is a sum of squares. Given a nondyadic henselian valued field $(…
Sums of squares in function fields over henselian discretely valued fields
Gonzalo Manzano-Flores
Let and let be a field with a henselian discrete valuation of rank with hereditarily euclidean residue field. Let be an algebraic function field in o…