Results 1 to 10 of about 44 (44)
Maximality of moduli spaces of vector bundles on curves [PDF]
Épijournal de Géométrie Algébrique, 2023 We prove that moduli spaces of semistable vector bundles of coprime rank and degree over a non-singular real projective curve are maximal real algebraic varieties if and only if the base curve itself is maximal.
Erwan Brugallé, Florent Schaffhauser
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Mirror symmetry for Nahm branes [PDF]
Épijournal de Géométrie Algébrique, 2022 The Dirac--Higgs bundle is a hyperholomorphic bundle over the moduli space of stable Higgs bundles of coprime rank and degree. We provide an algebraic generalization to the case of trivial degree and the rank higher than $1$.
Emilio Franco, Marcos Jardim
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Algebraic subgroups of the group of birational transformations of ruled surfaces [PDF]
Épijournal de Géométrie Algébrique, 2023 We classify the maximal algebraic subgroups of Bir(CxPP^1), when C is a smooth projective curve of positive genus.
Pascal Fong
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Spin(8,C)-Higgs pairs over a compact Riemann surface
Open Mathematics, 2023 Let XX be a compact Riemann surface of genus g≥2g\ge 2, GG be a semisimple complex Lie group and ρ:G→GL(V)\rho :G\to {\rm{GL}}\left(V) be a complex representation of GG.
Antón-Sancho Álvaro
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Endoscopic decompositions and the Hausel–Thaddeus conjecture
Forum of Mathematics, Pi, 2021 We construct natural operators connecting the cohomology of the moduli spaces of stable Higgs bundles with different ranks and genera which, after numerical specialisation, recover the topological mirror symmetry conjecture of Hausel and Thaddeus ...
Davesh Maulik, Junliang Shen
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Derived Category and ACM Bundles of Moduli Space of Vector Bundles on a Curve
Forum of Mathematics, Sigma, 2023 We show that the derived category of a curve is embedded into the derived category of the moduli space of vector bundles on the curve of coprime rank and degree.
Kyoung-Seog Lee, Han-Bom Moon
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L‐equivalence for degree five elliptic curves, elliptic fibrations and K3 surfaces
Bulletin of the London Mathematical Society, Volume 52, Issue 2, Page 395-409, April 2020., 2020 Abstract We construct non‐trivial L‐equivalence between curves of genus one and degree five, and between elliptic surfaces of multisection index five. These results give the first examples of L‐equivalence for curves (necessarily over non‐algebraically closed fields) and provide a new bit of evidence for the conjectural relationship between L ...
Evgeny Shinder, Ziyu Zhang
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Open Mathematics, 2022 Let XX be a compact Riemann surface of genus g≥2g\ge 2 and ℳ(E6){\mathcal{ {\mathcal M} }}\left({E}_{6}) be the moduli space of E6{E}_{6}-Higgs bundles over XX. We consider the automorphisms σ+{\sigma }_{+} of ℳ(E6){\mathcal{ {\mathcal M} }}\left({E}_{6})
Antón-Sancho Álvaro
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About G-bundles over elliptic curves [PDF]
, 1998 : Let G be a complex algebraic group, simple and simply connected, T a maximal torus and W the Weyl group. One shows that the coarse moduli space MG (X) parameterizing S-equivalence classes of semistable G-bundles over an elliptic curve X is isomorphic ...
Yves Laszlo, Laszlo, Yves
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TRANSPORT PARALLÈLE ET CORRESPONDANCE DE SIMPSON $p$ -ADIQUE
Forum of Mathematics, Sigma, 2017 Deninger et Werner ont développé un analogue pour les courbes $p$ -adiques de la correspondance classique de Narasimhan et Seshadri entre les fibrés ...
DAXIN XU
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