[GS_M_AG] Vector bundle techniques in the intersection of quadrics containing a curve
ABSTRACT
The criterion of the existence of subbundle of rank 2 vector bundle on curves was developed to solve the moduli problems of rank 2 vector bundles. Green-Lazarsfeld used such a technique to discuss the intersection of quadrics containing a curve of large degree. Later Lange-Sernesi discussed about Prym canonical curves in the similar way. In this talk, I will apply the same method to the non-complete linear system to discuss the intersection of quadrics containing a generic projected canonical curve.
