2 citations · 2 across the 1 of their papers we have counts for
11 papers
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…
D-Branes and Scheme Theory
Tomas Gomez, Eric R. Sharpe
In this highly speculative note we conjecture that it may be possible to understand features of coincident D-branes, such as the appearance of enhanced non-abelian gauge symmetry,…