Stable sheaves on elliptic fibrations

DOI10.1016/S0393-0440(02)00019-0zbMath1068.14051arXivmath/9809019OpenAlexW2076544739MaRDI QIDQ697830

José María Muñoz Porras, Daniel Hernandez Ruiperez

Publication date: 17 September 2002

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9809019

zbMATH Keywords

elliptic surfacecompactified Jacobianspectral coversrelative Fourier-Mukai transform

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Algebraic moduli problems, moduli of vector bundles (14D20) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27)

Related Items (13)

Algebraic methods for vector bundles on non-Kähler elliptic fibrations ⋮ Fourier--Mukai transforms for Gorenstein schemes ⋮ Vector bundles on non-Kaehler elliptic principal bundles ⋮ Derived equivalences and Kodaira fibers ⋮ Wall crossing for moduli of stable sheaves on an elliptic surface ⋮ Geometric stability conditions under autoequivalences and applications: elliptic surfaces ⋮ Stability and Fourier-Mukai transforms on elliptic fibrations ⋮ Fourier-Mukai partners of singular genus one curves ⋮ A Fourier-Mukai transform for real torus bundles. ⋮ Relative Fourier–Mukai transforms for Weierstraß fibrations, abelian schemes and Fano fibrations ⋮ Fourier-Mukai and Nahm transforms for holomorphic triples on elliptic curves ⋮ Relative Jacobians of elliptic fibrations with reducible fibers ⋮ Irreducible vector bundles on some elliptic non-Kähler threefolds

Cites Work

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• Compactifying the Picard scheme
• Mirror symmetry on K3 surfaces via Fourier-Mukai transform
• The heterotic string, the tangent bundle and derived categories
• Moduli of representations of the fundamental group of a smooth projective variety. I
• Point-like instantons on \(K3\) orbifolds
• Vector bundles and \(F\) theory
• Semistable bundles over an elliptic curve
• Evidence for F-theory
• Compactifications of F-theory on Calabi-Yau threefolds. I
• Compactifications of F-theory on Calabi-Yau threefolds. II
• Vector Bundles Over an Elliptic Curve
• Equivalences of Triangulated Categories and Fourier-Mukai Transforms
• The weight-two Hodge structure of moduli spaces of sheaves on a K3 surface
• A Fourier-Mukai approach to spectral data for instantons
• Vector Bundles over Elliptic Fibrations
• Vector Bundles and SO(3)-Invariants for Elliptic Surfaces
• Formal deformation theory
• Geometric singularities and enhanced gauge symmetries
• Moduli spaces of stable sheaves on abelian surfaces.

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