Search Results - "Gomez, Tomas L."
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Constraining the kähler moduli in the heterotic standard model
Published in Communications in mathematical physics (01-11-2007)Get full text
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The moduli stack of principal ρ-sheaves and Gieseker–Harder–Narasimhan filtrations
Published in Mathematische Zeitschrift (01-07-2024)“…Let X be a smooth projective variety and let G be a connected reductive group, both defined over a field of characteristic 0. Given a faithful representation ρ…”
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Comparison of Poisson structures on moduli spaces
Published in Revista matemática complutense (2023)“…Let X be a complex irreducible smooth projective curve, and let L be an algebraic line bundle on X with a nonzero section σ 0 . Let M denote the moduli space…”
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Poisson structure on the moduli spaces of sheaves of pure dimension one on a surface
Published in Geometriae dedicata (01-08-2020)“…Let S be a smooth complex projective surface equipped with a Poisson structure s and also a polarization H . The moduli space M H ( S , P ) of stable sheaves…”
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Stability of the Poincaré bundle
Published in European journal of mathematics (01-06-2021)“…Let X be an irreducible smooth projective curve, of genus at least two, over an algebraically closed field k . Let denote the moduli stack of principal G…”
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Complex Lagrangians in a hyperKähler manifold and the relative Albanese
Published in Complex manifolds (Warsaw, Poland) (27-10-2020)“…Let be the moduli space of complex Lagrangian submanifolds of a hyperKähler manifold , and let ω̄ : 𝒜̂ → be the relative Albanese over . We prove that 𝒜̂ has…”
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A GIT interpretation of the Harder–Narasimhan filtration
Published in Revista matemática complutense (01-01-2015)“…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…”
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Connections and Higgs fields on a principal bundle
Published in Annals of global analysis and geometry (01-03-2008)“…Let M be a compact connected Kähler manifold and G a connected linear algebraic group defined over . A Higgs field on a holomorphic principal G -bundle ε G…”
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Automorphism group of the moduli space of parabolic bundles over a curve
Published in Advances in mathematics (New York. 1965) (24-12-2021)“…We find the automorphism group of the moduli space of parabolic bundles on a smooth curve (with fixed determinant and system of weights). This group is…”
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Survey of Period Variations of Superhumps in SU UMa-Type Dwarf Novae
Published in Publications of the Astronomical Society of Japan (15-12-2009)“…We systematically surveyed period variations of superhumps in SU UMa-type dwarf novae based on newly obtained data and past publications. In many systems, the…”
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Survey of Period Variations of Superhumps in SU UMa-Type Dwarf Novae. II The Second Year (2009–2010)
Published in Publications of the Astronomical Society of Japan (25-12-2010)“…Continued from Kato et al. (2009, PASJ, 61, S395), we collected the times of superhump maxima for 68 SU UMa-type dwarf novae, mainly observed during the…”
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Torelli theorem for the parabolic Deligne–Hitchin moduli space
Published in Journal of geometry and physics (01-01-2018)“…We prove that, given the isomorphism class of the parabolic Deligne–Hitchin moduli space over a smooth projective curve, we can recover the isomorphism class…”
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Automorphism group of the moduli space of parabolic bundles over a curve
Published 21-08-2021“…Advances in Mathematics 393 (2021) 108070 We find the automorphism group of the moduli space of parabolic bundles on a smooth curve (with fixed determinant and…”
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Automorphisms of a Symmetric Product of a Curve (with an Appendix by Najmuddin Fakhruddin)
Published in Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung. (2017)“…Let X be an irreducible smooth projective curve of genus g>2 defined over an algebraically closed field of characteristic different from two. We prove that the…”
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On vector bundles over moduli spaces trivial on Hecke curves
Published 07-04-2020“…Let $M_X(r,\xi)$ be the moduli space of stable vector bundles, on a smooth complex projective curve $X$, of rank $r$ and fixed determinant $\xi$ such that…”
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Poisson structure on the moduli spaces of sheaves of pure dimension one on a surface
Published 22-08-2019“…Let S be a smooth complex projective surface equipped with a Poisson structure s and also a polarization H. The moduli space M_H(S,P) of stable sheaves on S…”
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Stability of symplectic and orthogonal Poincaré bundles
Published in Journal of geometry and physics (01-02-2014)“…Let L be a line bundle on a smooth complex projective curve X. Let ML be the moduli space of regularly stable orthogonal or symplectic bundles of rank r on X…”
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Automorphisms of moduli spaces of vector bundles over a curve
Published in Expositiones mathematicae (01-01-2013)“…Let X be an irreducible smooth complex projective curve of genus g≥4. Let M(r,Λ) be the moduli space of stable vector bundles E⟶X or rank r and fixed…”
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Semistability of Principal Bundles on a Kähler Manifold with a Non-Connected Structure Group
Published in Symmetry, integrability and geometry, methods and applications (01-01-2014)“…We investigate principal G-bundles on a compact Kähler manifold, where G is a complex algebraic group such that the connected component of it containing the…”
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Torelli theorem for the Deligne–Hitchin moduli space. II
Published in Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung. (2013)“…Let X and X' be compact Riemann surfaces of genus at least three. Let G and G' be nontrivial connected semisimple linear algebraic groups over \mathbb C . If…”
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