• Geometry of Vector Bundle Extensions and Applications to a Generalised Theta Divisor 

      Hitching, George H. (Mathematica Scandinavica;112(1), Journal article; Peer reviewed, 2013)
      Let E and F be vector bundles over a complex projective smooth curve X, and suppose that 0→E→W→F→0 is a nontrivial extension. Let G⊆F be a subbundle and D an effective divisor on X. We give a criterion for the subsheaf ...
    • 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 ...