Browsing ODA Open Digital Archive by Author "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, 20210803)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, 20210519)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, 20120222)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, 20151125)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 ... 
Nondefectivity of Grassmann bundles over a curve
Choe, Insong; Hitching, George Harry (Peer reviewed; Journal article, 20160608)Let Gr(2, E) be the Grassmann bundle of twoplanes 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, 20140522)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 ...