André G. Oliveira

activity

20092026

most citedTopological mirror symmetry for parabolic Higgs bundles

21 citations · 119 across the 19 of their papers we have counts for

collaborators

Showing 2012Show all

3 papers · 1 filter

math.AG2012

Connectedness of the moduli of Sp(2p,2q)-Higgs bundles

Oscar García-Prada, André Oliveira

Using the Morse-theoretic techniques introduced by Hitchin, we prove that the moduli space of $\Sp(2p,2q)$-Higgs bundles over a compact Riemann surface of genus $g \geq 2$ is connec…

math.AG2012

Motives and the Hodge Conjecture for moduli spaces of pairs

Vicente Muñoz, André Oliveira, Jonathan Sánchez

Let $C$ be a smooth projective curve of genus $g \geq 2$ over $C$ . Fix $n \geq 1$ , $d \in Z$ . A pair $(E, ϕ)$ over $C$ consists of an algebraic vector bundle $E$ of r…

math.AG2012

Torelli theorem for the moduli spaces of rank 2 quadratic pairs

A. Oliveira

Let $X$ be a smooth projective complex curve. We prove that a Torelli type theorem holds, under certain conditions, for the moduli space of $α$ -polystable quadratic pairs on $X$ of…