Tangent cones to generalised theta divisors and generic injectivity of the theta map

Author(s)

Publication date

2017

Publisher

Foundation Compositio Mathematica

Document type

Abstract

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 to give a constructive proof and a sharpening of Brivio and Verra’s theorem that the theta map is generically injective for large values of .

Keywords

Version

acceptedVersion

Permanent URL (for citation purposes)

  • https://hdl.handle.net/10642/5731