Results 11 to 20 of about 64 (64)
Geometry of intersections of some secant varieties to algebraic curves
Journal of the London Mathematical Society, Volume 103, Issue 1, Page 288-313, January 2021., 2021 Abstract For a smooth projective curve, the cycles of subordinate or, more generally, secant divisors to a given linear series are among some of the most studied objects in classical enumerative geometry. We consider the intersection of two such cycles corresponding to secant divisors of two different linear series on the same curve and investigate the
Mara Ungureanu
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Walls and asymptotics for Bridgeland stability conditions on 3-folds [PDF]
Épijournal de Géométrie Algébrique, 2022 We consider Bridgeland stability conditions for three-folds conjectured by Bayer-Macr\`i-Toda in the case of Picard rank one. We study the differential geometry of numerical walls, characterizing when they are bounded, discussing possible intersections ...
Marcos Jardim, Antony Maciocia
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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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Decompositions of moduli spaces of vector bundles and graph potentials
Forum of Mathematics, Sigma, 2023 We propose a conjectural semiorthogonal decomposition for the derived category of the moduli space of stable rank 2 bundles with fixed determinant of odd degree, independently formulated by Narasimhan. We discuss some evidence for and furthermore propose
Pieter Belmans +2 more
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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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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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On the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics
Open Mathematics, 2018 A parametrization of the fine Simpson moduli spaces of 1-dimensional sheaves supported on plane quartics is given: we describe the gluing of the Brill-Noether loci described by Drézet and Maican, provide a common parameter space for these loci, and show ...
Iena Oleksandr
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Verlinde formulae on complex surfaces: K-theoretic invariants
Forum of Mathematics, Sigma, 2021 We conjecture a Verlinde type formula for the moduli space of Higgs sheaves on a surface with a holomorphic 2-form. The conjecture specializes to a Verlinde formula for the moduli space of sheaves.
L. Göttsche, M. Kool, R. A. Williams
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Picard Group and Fundamental Group of the Moduli of Higgs Bundles on Curves
Complex Manifolds, 2018 Let X be an irreducible smooth projective curve of genus g ≥ 2 over ℂ. Let MG, Higgsδbe a connected reductive affine algebraic group over ℂ. Let Higgs be the moduli space of semistable principal G-Higgs bundles on X of topological type δ∈π1(G).
Chakraborty Sujoy, Paul Arjun
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Hilbert Schemes Of Points On Some K3 Surfaces And Gieseker Stable Bundles
, 1996 . By using a Fourier-Mukai transform for sheaves on K3 surfaces we show that for a wide class of K3 surfaces X the Hilbert schemes Hilb n (X) can be identified for all n ? 1 with moduli spaces of Gieseker stable vector bundles on X. We also introduce a
Antony Maciocia +4 more
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