Brill–Noether divisors for even genus

Let Mg,dr be the sublocus of MgMg whose points correspond to smooth curves possessing gdr. If the Brill–Noether number ρ(g,r,d)(:=g−(r+1)(g−d+r))=−1ρ(g,r,d)(:=g−(r+1)(g−d+r))=−1, then M¯g,dr is an irreducible divisor in M¯g which is called a Brill–Noether divisor. In this paper, we prove that any two Brill–Noether divisors M¯g,dr and M¯g,es with r≠sr≠s and e≠2g−2−de≠2g−2−d have distinct supports for even genus, while we have already proved the distinctness for odd genus.