Petri map for rank two bundles with canonical determinant

Abstract

We prove the Bertram-Feinberg-Mukai conjecture for a generic curve $C$ of genus $g$ and a semistable vector bundle $E$ of rank two and determinant $K$ on $C$, namely we prove the injectivity of the Petri-canonical map $S^2(H^0(E))\to H^0(S^2(E))$.

To appear in Compositio Mathematica

Cited by in corpus (4)

• Towards the Bertram-Feinberg-Mukai Conjecture
• On coherent systems with fixed determinant
• The Strong Maximal Rank Conjecture and higher rank Brill--Noether theory
• Stability of vector bundles on curves and degenerations