Vector bundles and finite covers

DOI10.1017/fms.2022.19zbMath1494.14029arXiv1608.01711OpenAlexW2499950418MaRDI QIDQ5866305

Anand Patel, Anand Deopurkar

Publication date: 13 June 2022

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.01711

zbMATH Keywords

Hurwitz spaceSteinitz classfinite coverTschirnhausen bundleMaroni locus

Mathematics Subject Classification ID

Coverings of curves, fundamental group (14H30) Vector bundles on curves and their moduli (14H60) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Related Items

Direct image of parabolic line bundles ⋮ On Some Components of Hilbert Schemes of Curves ⋮ Scrollar invariants, syzygies and representations of the symmetric group ⋮ Direct images of vector bundles and connections ⋮ Generically nef vector bundles on ruled surfaces ⋮ Automorphism group of principal bundles, Levi reduction and invariant connections

Cites Work

• On the classification of generic branched coverings of surfaces
• Syzygies of canonical curves and special linear series
• Compactifying the Picard scheme
• A Barth-type theorem for branched coverings of projective space
• Vector bundles as direct images of line bundles
• Existence of pencils with prescribed scrollar invariants of some general type
• Stacks of stable maps and Gromov-Witten invariants
• The Picard rank conjecture for the Hurwitz spaces of degree up to five
• Hurwitz spaces of triple coverings of elliptic curves and moduli spaces of abelian threefolds
• Sharp slope bounds for sweeping families of trigonal curves
• Stable and unitary vector bundles on a compact Riemann surface
• Curves with high self-intersection on algebraic surfaces
• Ample vector bundles and branched coverings
• Geometry of Algebraic Curves
• Moduli Stacks of Vector Bundles on Curves and the King–Schofield Rationality Proof
• The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields
• Deformations of Algebraic Schemes
• Classes réalisables d'extensions non abéliennes
• Triple Covers in Algebraic Geometry
• Spectral curves and the generalised theta divisor.
• Notes on stable maps and quantum cohomology
• Twisted Bundles and Admissible Covers
• Hurwitz spaces of quadruple coverings of elliptic curves and the modulispace of abelian threefolds 𝒜₃(1, 1, 4)
• Unirationality of Hurwitz Spaces of Coverings of Degree ≤5
• The classification of maps of surfaces
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