Existence, decomposition, and limits of certain Weierstrass points (Q1084459)

Here, using the general theory of their previous paper [ibid. 85, 337-371 (1986; Zbl 0598.14003)] and the main result of the immediately preceding paper [ibid. 87, 485-493 (1987; see the review 14008)], the authors analyze the limit of Weierstrass points on a family of smooth curves degenerating to a reducible curve C with \(Pic^ 0(C)\) compact. The authors prove the existence of subvarieties of \(M_ g\) of the expected codimension and formed by curves with s Weierstrass points of prescribed gap sequence if the sum of the weights of the prescribed gap sequences is \(\leq g/2\).