1 citations · 1 across the 3 of their papers we have counts for
5 papers
Estimation of first-order sensitivity indices based on symmetric reflected Vietoris-Rips complexes areas
Alberto J Hernández, Maikol Solís, Ronald A. Zúñiga-Rojas
In this paper we estimate the first-order sensitivity index of random variables within a model by reconstructing the embedding manifold of a two-dimensional cloud point. The model…
Geometric Invariant Theory, holomorphic vector bundles and the Harder-Narasimhan filtration
Alfonso Zamora, Ronald A. Zúñiga-Rojas
This survey intends to present the basic notions of Geometric Invariant Theory (GIT) through its paradigmatic application in the construction of the moduli space of holomorphic vec…
A Brief Survey of Higgs Bundles
Ronald Alberto Zúñiga-Rojas
Considering a compact Riemann surface of genus greater than two, a Higgs~bundle is a pair composed of a holomorphic bundle over the Riemann surface, joint with an auxiliar vector f…
Variations of Hodge Structures of Rank Three k-Higgs Bundles and Moduli Spaces of Holomorphic Triples
Ronald A. Zúñiga-Rojas
There is an isomorphism between the moduli spaces of -stable holomorphic triples and some of the critical submanifolds of the moduli space of -Higgs bundles of rank three, wh…
Estratificações no espaço móduli dos fibrados de Higgs
Ronald A. Zúñiga-Rojas
The work of Hausel proves that the Bialynicki-Birula stratification of the moduli space of rank two Higgs bundles coincides with its Shatz stratification. These two stratifications…