Blar i ODA Open Digital Archive på forfatter "Choe, Insong"
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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 ... -
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 ...