University of Trás-os-Montes and Alto Douro

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20022026

most citedMedShapeNet -- A Large-Scale Dataset of 3D Medical Shapes for Computer Vision

35 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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13 papers · 1 filter

math.AG2023★ 2 cited

Narasimhan--Ramanan branes and wobbly Higgs bundles

Emilio Franco, Peter B. Gothen, André G. Oliveira +1

Narasimhan--Ramanan branes were introduced by the authors in a previous article. They consist of a family of $B B B$ -branes inside the moduli space of Higgs bundles, and a family of…

math.AG2021

Examples of surfaces with canonical map of degree 4

Carlos Rito

We give two examples of surfaces with canonical map of degree 4 onto a canonical surface.

math.AG2021★ 6 cited

Lie algebroid connections, twisted Higgs bundles and motives of moduli spaces

David Alfaya, André Oliveira

Let $L = (L, [\cdot, \cdot], δ)$ be an algebraic Lie algebroid over a smooth projective curve $X$ of genus $g \geq 2$ such that $L$ is a line bundle whose degree is less than…

math.AG2018★ 13 cited

SO(p,q)-Higgs bundles and higher Teichmüller components

Marta Aparicio-Arroyo, Steven Bradlow, Brian Collier +3

Some connected components of a moduli space are mundane in the sense that they are distinguished only by obvious topological invariants or have no special characteristics. Others a…

math.AG2016★ 2 cited

Explicit Schoen surfaces

Carlos Rito, Xavier Roulleau, Alessandra Sarti

We give an explicit construction for the $4$ -dimensional family of Schoen surfaces by computing equations for their canonical images, which are $40$ -nodal complete intersections of…

math.AG2015★ 2 cited

New surfaces with $K^{2} = 7$ and $p_{g} = q \leq 2$

Carlos Rito

We construct smooth minimal complex surfaces of general type with $K^{2} = 7$ and: $p_{g} = q = 2,$ Albanese map of degree $2$ onto a $(1, 2)$ -polarized abelian surface; $p_{g} = q = 1$ as a double…

math.AG2013

New canonical triple covers of surfaces

Carlos Rito

We construct a surface of general type with canonical map of degree 12 which factors as a triple cover and a bidouble cover of $P^{2}$ . We also show the existence of a smooth…

math.AG2013★ 1 cited

Cuspidal quintics and surfaces with $p_{g} = 0,$ $K^{2} = 3$ and 5-torsion

Carlos Rito

If $S$ is a quintic surface in $P^{3}$ with singular set $15$ $3$ -divisible ordinary cusps, then there is a Galois triple cover $ϕ : X \to S$ branched only at the cusps such tha…

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…

math.AG2011★ 11 cited

Rank two quadratic pairs and surface group representations

Peter B. Gothen, André Oliveira

Let $X$ be a compact Riemann surface. A quadratic pair on $X$ consists of a holomorphic vector bundle with a quadratic form which takes values in fixed line bundle. We show that th…

math.AG2010★ 13 cited

The singular fibre of the Hitchin map

Peter B. Gothen, André Oliveira

Given any line bundle L of positive degree, on a compact Riemann surface, let $M_{L}^{Λ}$ be the moduli space of L-twisted Higgs pairs of rank 2 with fixed determinant isomorphic to $Λ…

math.AG2009★ 2 cited

Representations of surface groups in the projective general linear group

André Oliveira

Given a closed, oriented surface X of genus g>1, and a semisimple Lie group G, let R_G be the moduli space of reductive representations of the fundamental group of X in G. We deter…

math.AG2008

On equations of double planes with $p_{g} = q = 1$

Carlos Rito

This paper describes how to compute equations of plane models of minimal Du Val double planes of general type with $p_{g} = q = 1$ and $K^{2} = 2, ..., 8.$ A double plane with $K^{2} = 8$ having b…

Narasimhan--Ramanan branes and wobbly Higgs bundles

Examples of surfaces with canonical map of degree 4

Lie algebroid connections, twisted Higgs bundles and motives of moduli spaces

SO(p,q)-Higgs bundles and higher Teichmüller components

Explicit Schoen surfaces

New surfaces with K2=7 and pg​=q≤2

New canonical triple covers of surfaces

Cuspidal quintics and surfaces with pg​=0, K2=3 and 5-torsion

Torelli theorem for the moduli spaces of rank 2 quadratic pairs

Rank two quadratic pairs and surface group representations

The singular fibre of the Hitchin map

Representations of surface groups in the projective general linear group

On equations of double planes with pg​=q=1

New surfaces with $K^{2} = 7$ and $p_{g} = q \leq 2$

Cuspidal quintics and surfaces with $p_{g} = 0,$ $K^{2} = 3$ and 5-torsion

On equations of double planes with $p_{g} = q = 1$