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20082022
most citedStationary Black Holes: Uniqueness and Beyond

522 citations

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5 papers · 1 filter

math.AG2018★ 17 cited

Unramified covers and branes on the Hitchin system

Emilio Franco, Peter Gothen, André Oliveira +1

We study the locus of the moduli space of Higgs bundles on a curve given by those Higgs bundles obtained by pushforward under an unramified cover. We equip these loci with a hyperh…

math.AG2017★ 10 cited

Branes on the singular locus of the Hitchin system via Borel and other parabolic subgroups

Emilio Franco, Ana Peón-Nieto

We study mirror symmetry on the singular locus of the Hitchin system at two levels. Firstly, by covering it by (supports of) -branes, corresponding to Higgs bundles reducing…

math.AG2017★ 7 cited

Mirror symmetry for Nahm branes

Emilio Franco, Marcos Jardim

The Dirac--Higgs bundle is a hyperholomorphic bundle over the moduli space of stable Higgs bundles of coprime rank and degree. We provide an algebraic generalization to the case of…

math.AG2012★ 12 cited

Continuous families of divisors, paracanonical systems and a new inequality for varieties of maximal Albanese dimension

Margarida Mendes Lopes, Rita Pardini, Gian Pietro Pirola

Given a smooth complex projective variety X, a line bundle L of X an element v of H^1(O_X) and a section s in H^0(L) that deforms to first order in the direction v, we give a suffi…

math.AG2012★ 1 cited

Polygons in Minkowski three space and parabolic Higgs bundles of rank two on CP^1

Indranil Biswas, Carlos Florentino, Leonor Godinho +1

Consider the moduli space of parabolic Higgs bundles (E,Φ) of rank two on CP^1 such that the underlying holomorphic vector bundle for the parabolic vector bundle E is trivial. It i…