Blar i ODA Open Digital Archive på forfatter "Hoff, Michael"
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Nonemptiness and smoothness of twisted Brill-Noether loci
Hitching, George Harry; Hoff, Michael; Newstead, Peter E. (Annali di Matematica Pura ed Applicata; 200 (2021), Journal article; Peer reviewed, 2020-06-25)Let V be a vector bundle over a smooth curve C. In this paper, we study twisted Brill– Noether loci parametrising stable bundles E of rank n and degree e with the property that h0(C, V ⊗ E) ≥ k. We prove that, under ... -
Tangent cones to generalised theta divisors and generic injectivity of the theta map
Hitching, George Harry; Hoff, Michael (Journal article; Peer reviewed, 2017)Let be a Petri general curve of genus and a general stable vector bundle of rank and slope over with . For , we show how the bundle can be recovered from the tangent cone to the generalised theta divisor at . We use this ...