2 citations · 2 across the 1 of their papers we have counts for
9 papers · 1 filter
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…
A Torelli theorem for the moduli space of Higgs bundles on a curve
Indranil Biswas, Tomas L. Gomez
Let X be a smooth projective complex curve, and let M be the moduli space of stable Higgs bundles on X (with genus g>1), with rank n and fixed determinant ξ, with n and deg(ξ) copr…
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…
Extensions of Higgs Bundles
Steven B. Bradlow, Tomas L. Gomez
We prove a Hitchin-Kobayashi correspondence for extensions of Higgs bundles. The results generalize known results for extensions of holomorphic bundles. Using Simpson's methods, we…
Affine representations of the fundamental group (with an appendix on parabolic representations)
Tomas L. Gomez, Francisco Presas
Unitary representations of the fundamental group of a Kahler manifold correspond to polystable vector bundles (with vanishing Chern classes). Semisimple linear representations corr…