L. A. Calvo

activity

20192026

collaborators

3 papers

math.NT2026

Branches of Markoff $m$ -triples with two $k$ -Fibonacci components

David Alfaya, Luis Ángel Calvo, Pedro-José Cazorla +2

We study infinite paths of Markoff $m$ -triples, that is, solutions to the generalised Markoff equation \[ x^2+y^2+z^2=3xyz+m, \] with $m > 0$ , with at least two $k$ -Fibonacci compone…

math.NT2023

Minimal triples for a generalized Markoff equation

A. Srinivasan, L. A. Calvo

For a positive integer $m > 1$ , if the generalized Markoff equation $a^{2} + b^{2} + c^{2} = 3 ab c + m$ has a solution triple, then it has infinitely many solutions. We show that all positive solut…

math.DG2019

Real Higgs pairs and Non-abelian Hodge correspondence on a Klein surface

Indranil Biswas, Luis Angel Calvo, Oscar Garcia-Prada

We introduce real structures on $L$ -twisted Higgs pairs over a compact Riemann surface equipped with an anti-holomorphic involution, and prove a Hitchin--Kobayashi correspondence f…

Branches of Markoff m-triples with two k-Fibonacci components

Minimal triples for a generalized Markoff equation

Real Higgs pairs and Non-abelian Hodge correspondence on a Klein surface

Branches of Markoff $m$ -triples with two $k$ -Fibonacci components