An stratification of $B^4(2,K_C)$ over a general curve

Abstract

For a general curve C of genus g ≥ 10, we show that the Brill-Noether locus B 4 (2, K C ) contains irreducible sub-varieties B 3 ⊃ B 4 ⊃ • • • ⊃ Bn, where Bn is of dimension 3g − 10 − n and B 3 is an irreducible component of the expected dimension 3g − 13.