O. Garc'ia-Prada

activity

20012022

most citedDimensional reduction, SL(2,C)-equivariant bundles and stable holomorphic chains

53 citations · 132 across the 13 of their papers we have counts for

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3 papers · 1 filter

math.AG2022

A Prym-Narasimhan-Ramanan construction of principal bundle fixed points

G. Barajas, O. García-Prada

Let $X$ be a compact Riemann surface and $G$ be a connected reductive complex Lie group with centre $Z$ . Consider the moduli space $M (X, G)$ of polystable principal holomorphic $G$ -…

math.DG2022★ 3 cited

Non-connected Lie groups, twisted equivariant bundles and coverings

G. Barajas, O. García-Prada, P. B. Gothen +1

Let $Γ$ be a finite group acting on a Lie group $G$ . We consider a class of group extensions $1 \to G \to G^\to Γ \to 1$ defined by this action and a $2$ -cocycle of $Γ$ with v…

math.AP2022

Obstructions to the existence of solutions of the self-dual Einstein-Maxwell-Higgs equations on a compact surface

Luis Álvarez-Cónsul, Mario Garcia-Fernandez, Oscar García-Prada +2

In this note we present an obstruction to the existence of solutions to the self-dual Einstein-Maxwell-Higgs equations on a compact surface, which depends on the multiplicities of…