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Autor Gómez, Tomás L. |
Documentos disponibles escritos por este autor (11)
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Let X be an irreducible smooth complex projective curve of genus g > = 4. Fix a line bundle L on X. Let M-Sp (L) be the moduli space of semistable symplectic bundles (E,(sic) : E circle times E -> L) on X, with the symplectic form taking values[...]texto impreso
Let X be an irreducible smooth complex projective curve of genus g ? 4. Let M(r,?) be the moduli space of stable vector bundles E ?? X or rank r and fixed determinant ?.We show that the automorphism group of M(r,?) is generated by automorphisms [...]texto impreso
Phenomenological implications of the volume of the Calabi-Yau threefolds on the hidden and observable M-theory boundaries, together with slope stability of their corresponding vector bundles, constrain the set of Kahler moduli which give rise to[...]texto impreso
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 destabilizing" 1-parameter subgroup, and this induces a filtration of the tor[...]texto impreso
Let G be a connected reductive group. The late Ramanathan gave a notion of (semi)stable principal G-bundle on a Riemann surface and constructed a projective moduli space of such objects. We generalize Ramanathan's notion and construction to high[...]texto impreso
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 algebraically closed ground fields of positive characteristic.texto impreso
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 G-bundle. Then we define a notion of semistability, an[...]texto impreso
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 moduli space. We prove that (after fixing some invariants) these[...]texto impreso
For a connected reductive group G, we generalize the notion of (semi)stable Higgs G-bundles on curves to smooth projective schemes of higher dimension, allowing also Higgs G-sheaves, and construct the corresponding moduli space.texto impreso
Gómez, Tomás L. ; Lukic, Sergio ; Sols, Ignacio | 2009In [4], Braim, He, Ovrut and Pantev proposed a model of string theory (based on the Calabi-Yau 3-fold X defined in [3]) whose low energy limit predicts certain properties of the Standard Model of particle Physics. This model depends on two vecto[...]texto impreso
This is a survey of work done in the past two decades relating a basic equation of general relativity and quantum field theory with the theory of stable vector bundles and stable principal bundles, as well as providing moduli spaces for such obj[...]