46 citations · 115 across the 10 of their papers we have counts for
7 papers · 1 filter
A GIT interpretration of the Harder-Narasimhan filtration
Tomas L. Gomez, Ignacio Sols, Alfonso Zamora
An unstable torsion free sheaf on a smooth projective variety gives a GIT unstable point in certain Quot scheme. To a GIT unstable point, Kempf associates a "maximally destabilizin…
Moduli Spaces for Principal Bundles in Arbitrary Characteristic
T. L. G'omez, A. Langer, A. H. W. Schmitt +1
In this article, we solve the problem of constructing moduli spaces of semistable principal bundles (and singular versions of them) over smooth projective varieties over algebraica…
Moduli space of principal sheaves over projective varieties
Tomas L. Gomez, Ignacio Sols
Let G be a connected reductive group. The late Ramanathan gave a notion of (semi)stable principal G-bundle on a complex projective curve and constructed a projective moduli space o…
Projective moduli space of semistable principal sheaves for a reductive group
Tomas L. Gomez, Ignacio Sols
Let X be a smooth projective complex variety, and let G be an algebraic reductive complex group. We define the notion of principal G-sheaf, that generalises the notion of principal…
Stable tensors and moduli space of orthogonal sheaves
Tomas L. Gomez, Ignacio Sols
Let X be a smooth projective variety over C. We find the natural notion of semistable orthogonal bundle and construct the moduli space, which we compactify by considering also orth…
Stability of conic bundles (with an appendix by Mundet i Riera)
T. Gomez, I. Sols
Roughly speaking, a conic bundle is a surface, fibered over a curve, such that the fibers are conics (not necessarily smooth). We define stability for conic bundles and construct a…
Degree of the divisor of solutions of a differential equation on a projective variety
Vicente Muñoz, Ignacio Sols
Using the data schemes developed by Arrondo-Sols-Speiser, we give a rigorous definition of algebraic differential equations on the complex projective space . For an algebraic…