Blar i LUI - Institutt for grunnskole- og faglærerutdanning på emneord "Algebraic curves"

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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 ...

    • 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 ...