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Geometric goodness of fit measure to detect patterns in data point clouds 

Hernádez Alvarado, Alberto Jose; Solís Chacón, Maikol; Zúñiga Rojas, Ronald Alberto (2019)
The curse of dimensionality is a commonly encountered problem in statistics and data analysis. Variable sensitivity analysis methods are a well studied and established set of tools designed to overcome these sorts of ...

Stratifications on the Moduli Space of Higgs Bundles 

Zúñiga Rojas, Ronald Alberto; Beier Gothen, Peter (2016-11-02)
The moduli space of Higgs bundles has two stratifications. The Bia lynickiBirula stratification comes from the action of the non-zero complex numbers by multiplication on the Higgs field, and the Shatz stratification arises ...
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Geometrical correlation indices using homological constructions on manifolds 

Solís Chacón, Maikol; Hernández Alvarado, Alberto José; Zúñiga Rojas, Ronald Alberto (2018)
Abstract The course of dimensionality is a common problem in statistics and data analysis. Variable sensitivity analysis methods are a well studied and established set of tools designed to overcome these sorts of problems. ...
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Variations of Hodge Structures of Rank Three k-Higgs Bundles and Moduli Spaces of Holomorphic Triples 

Zúñiga Rojas, Ronald Alberto (2020)
There is an isomorphism between the moduli spaces of σ-stable holomorphic triples and some of the critical submanifolds of the moduli space of k-Higgs bundles of rank three, whose elements (E, ϕk ) correspond to variations ...
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Stratifications on the Nilpotent Cone of the moduli space of Hitchin pairs 

Beier Gothen, Peter; Zúñiga Rojas, Ronald Alberto (2020)
We consider the problem of finding the limit at infinity (corresponding to the downward Morse flow) of a Higgs bundle in the nilpotent cone under the natural C ∗ -action on the moduli space. For general rank we provide ...
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A brief survey of Higgs bundles
Un estudio conciso de fibrados de Higgs 

Zúñiga Rojas, Ronald Alberto (2019-06)
Considering a compact Riemann surface of genus greater or equal than two, a Higgs bundle is a pair composed of a holomorphic bundle over the Riemann surface, joint with an auxiliar vector field, so-called Higgs field. This ...

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Zúñiga Rojas, Ronald Alberto (6)
Beier Gothen, Peter (2)Solís Chacón, Maikol (2)Hernádez Alvarado, Alberto Jose (1)Hernández Alvarado, Alberto José (1)Typeinfo:eu-repo/semantics/preprint (4)info:eu-repo/semantics/article (2)Artículo científico (1)ProcedenceVicerrectoría de Investigación (5)Vicerrectoría de Docencia (3)... View MoreHas File(s)Yes (6)

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Repositorio Institucional de la Universidad de Costa Rica. Algunos derechos reservados. Este repositorio funciona con DSpace.
Universidad de Costa Rica