Blar i LUI - Institutt for grunnskole- og faglærerutdanning på emneord "Vector bundles"

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    • Irreducibility of Lagrangian Quot schemes over an algebraic curve 

      Cheong, Daewoong; Choe, Insong; Hitching, George Harry (Mathematische Zeitschrift;, Peer reviewed; Journal article, 2021-08-03)
      Let C be a complex projective smooth curve and W a symplectic vector bundle of rank 2n over C. The Lagrangian Quot scheme LQ_{−e}(W) parameterizes subsheaves of rank n and degree −e which are isotropic with respect to the ...

    • Lagrangian subbundles of symplectic bundles over a curve 

      Choe, Insong; Hitching, George H. (Mathematical proceedings of the Cambridge Philosophical Society;153 (2), Journal article; Peer reviewed, 2012-02-22)
      A symplectic bundle over an algebraic curve has a natural invariant s Lag determined by the maximal degree of its Lagrangian subbundles. This can be viewed as a generalization of the classical Segre invariants of a vector ...

    • Nonemptiness and smoothness of twisted Brill-Noether loci 

      Hitching, George Harry; Hoff, Michael; Newstead, Peter E. (Annali di Matematica Pura ed Applicata; 200 (2021), Journal article; Peer reviewed, 2020-06-25)
      Let V be a vector bundle over a smooth curve C. In this paper, we study twisted Brill– Noether loci parametrising stable bundles E of rank n and degree e with the property that h0(C, V ⊗ E) ≥ k. We prove that, under ...

    • A Riemann–Kempf singularity theorem for higher rank Brill-Noether loci 

      Hitching, George Harry (Bulletin of the London Mathematical Society;Volume 52, Issue 4, August 2020, Journal article; Peer reviewed, 2020-06-09)
      Given a vector bundle V over a curve X, we define and study a surjective rational map Hilbd(PV ) 99K Quot0,d(V ∗) generalising the natural map SymdX → Quot0,d(OX). We then give a generalisation of the geometric Riemann–Roch ...

    • A stratification on the moduli spaces of symplectic and orthogonal bundles over a curve 

      Hitching, George Harry; Choe, Insong (International Journal of Mathematics;25(5), Journal article; Peer reviewed, 2014-05-22)
      A symplectic or orthogonal bundle V of rank 2n over a curve has an invariant t(V) which measures the maximal degree of its isotropic subbundles of rank n. This invariant t defines stratifications on moduli spaces of ...