Browsing ODA Open Digital Archive by Author "Choe, Insong"

Now showing items 1-9 of 9

    • Counting maximal Lagrangian subbundles over an algebraic curve 

      Cheong, Daewoong; Choe, Insong; Hitching, George Harry (Journal of Geometry and Physics;Volume 167, September 2021, 104288, Peer reviewed; Journal article, 2021)
      Let C be a smooth projective curve and W a symplectic bundle over C. Let LQe(W) be the Lagrangian Quot scheme parametrizing Lagrangian subsheaves E ⊂ W of degree e. We give a closed formula for intersection numbers on ...

    • 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 ...

    • Isotropic Quot schemes of orthogonal bundles over a curve 

      Choe, Insong; Cheong, Daewoong; Hitching, George Harry (International Journal of Mathematics;, Peer reviewed; Journal article, 2021-05-19)
      We study the isotropic Quot schemes IQe(V ) parameterizing degree e isotropic subsheaves of maximal rank of an orthogonal bundle V over a curve. The scheme IQe(V ) contains a compactification of the space IQe◦(V ) of degree ...

    • 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 ...

    • Low rank orthogonal bundles and quadric fibrations 

      Choe, Insong; Hitching, George Harry (Peer reviewed; Journal article, 2023)
      Let C be a curve and V → C an orthogonal vector bundle of rank r. For r ≤ 6, the structure of V can be described using ten- sor, symmetric and exterior products of bundles of lower rank, essentially due to the existence ...

    • Maximal isotropic subbundles of orthogonal bundles of odd rank over a curve 

      Hitching, George Harry; Choe, Insong (International Journal of Mathematics;26(13), Journal article; Peer reviewed, 2015-11-25)
      An orthogonal bundle over a curve has an isotropic Segre invariant determined by the maximal degree of a maximal isotropic subbundle. This in- variant and the induced strati cations on moduli spaces of orthogonal bundles ...

    • Non-defectivity of Grassmann bundles over a curve 

      Choe, Insong; Hitching, George Harry (Peer reviewed; Journal article, 2016-06-08)
      Let Gr(2, E) be the Grassmann bundle of two-planes associated to a general bundle E over a curve X. We prove that an embedding of Gr(2, E) by a certain twist of the relative Plücker map is not secant defective. This yields ...

    • Simplicity of tangent bundles on the moduli spaces of symplectic and orthogonal bundles over a curve 

      Choe, Insong; Hong, Jaehyun; Hitching, George Harry (Peer reviewed; Journal article, 2024)
      The variety of minimal rational tangents associated to Hecke curves was used by J.-M. Hwang [8] to prove the simplicity of the tangent bundle on the moduli of vector bundles over a curve. In this paper, we use the tangent ...

    • 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 ...