Secant loci of scrolls over curves

DOI10.1090/conm/803/16102MaRDI QIDQ6607624

George H. Hitching

Publication date: 18 September 2024

zbMATH Keywords

vector bundles on curvesscrollssecant lociSegre invariantQuot schemesBrill-Noether theory of vector bundles

Mathematics Subject Classification ID

Determinantal varieties (14M12) Vector bundles on curves and their moduli (14H60) Secant varieties, tensor rank, varieties of sums of powers (14N07)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Martens-Mumford theorems for Brill-Noether schemes arising from very ample line bundles
• Remarks on the geometry of secant loci
• Secant varieties and Hirschowitz bound on vector bundles over a curve
• Stability of projective varieties
• The Brill-Noether problem and the Teixidor theorem
• Stable maps and Quot schemes
• A note on the tangent cones of the scheme of secant loci
• An infinitesimal study of secant space divisors. Appendix by Trygve Johnsen
• On the smooth locus of aligned Hilbert schemes, the \(k\)-secant lemma and the general projection theorem
• On the Terracini locus of projective varieties
• Quot schemes of curves and surfaces: virtual classes, integrals, Euler characteristics
• Quot schemes, Segre invariants, and inflectional loci of scrolls over curves
• Unobstructedness of filling secants and the Gruson-Peskine general projection theorem
• Secant spaces and syzygies of special line bundles on curves
• The combinatorics of Lehn's conjecture
• Geometry of curves with exceptional secant planes: Linear series along the general curve
• On multisecant spaces to algebraic curves
• Nonemptiness and smoothness of twisted Brill-Noether loci
• Secant planes of a general curve via degenerations
• Singularities of Brill-Noether loci for vector bundles on a curve
• Petri map for rank two bundles with canonical determinant
• Higher ramification and varieties of secant divisors on the generic curve
• Brill-Noether Theory for stable vector bundles
• Rank two vector bundles with canonical determinant
• LINEAR SERIES ON CURVES: STABILITY AND CLIFFORD INDEX
• Linear stability and stability of syzygy bundles
• Geometry of intersections of some secant varieties to algebraic curves
• Dimension Theory and Degenerations of de Jonquières Divisors
• Higher rank Brill—Noether theory and coherent systems open questions
• A Riemann–Kempf singularity theorem for higher rank Brill–Noether loci
• Segre classes of tautological bundles on Hilbert schemes of surfaces
• Generalized de Jonquières divisors on generic curves

This page was built for publication: Secant loci of scrolls over curves