2 problems

Let $C$ be a Petri curve, let $L$ be a line bundle on $C$, and let $(L,V)$ be a linear system with $V\subset H^0(L)$; write $D_{L,V}$ for its dual span bundle. Butler's stability c…

Pure codimension conjecture. If $\rho(g,r,n)\geq 0$, then $P^r_{g,n}$ has pure codimension one whenever it is non-empty. The Petri locus records failure of injectivity of the Petri…