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

George H. Hitching, Michael Hoff

Let $C$ be a Petri general curve of genus $g$ and $E$ a general stable vector bundle of rank $r$ and slope $g-1$ over $C$ with $h^0(C,E)=r+1$. For $g>(2r+2)(2r+1)$, we show h…