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

Forfatter(e)

Utgivelsesdato

2017

Utgiver

Foundation Compositio Mathematica

Dokumenttype

Sammendrag

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 .

Emneord

Versjon

acceptedVersion

Permanent URL

  • https://hdl.handle.net/10642/5731