Browsing Departament de Matemàtiques by Subject "514"

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Descent in Lawson homology and morphic cohomology

Roig Maranges, Abdó (Date of defense: 2016-01-26)

The traditional way to study algebraic cycles on an algebraic variety uses the Chow groups. However, in the beginnings of the 90's, Blaine Lawson and Eric Friedlander developed a different way to study algebraic cycles on ...

Multiplier ideals in two-dimensional local rings with rational singularities

Dachs Cadefau, Ferran (Date of defense: 2016-06-13)

The aim of this memoir is to study multiplier ideals in two-dimensional local rings having at worst rational singularities. We also want to extend this study to the case of mixed multiplier ideals. The main achievements ...

On the fractional Yamabe problem with isolated singularities and related issues

Torre Pedraza, Azahara de la (Date of defense: 2016-12-19)

My research is based on non-local elliptic semilinear equations in conformal geometry. The fractional curvature is defined from the conformal fractional Laplacian and it is a non-local version of some of the classical local ...