A procedure for studying divisors on the moduli space of curves of genus [italic]g is presented. We study the divisor defined as the closure of the set of all points corresponding to curves possessing exceptional Weierstrass points of a certain type. Its class is expressed as a linear combination of other standard divisor classes previously introduced by Mumford. In addition, the behavior of Weierstrass points near singular curves is also studied.
A procedure for studying divisors on the moduli space of curves of genus [italic]g is presented. We study the divisor defined as the closure of the set of all points corresponding to curves possessing exceptional Weierstrass points of a certain type. Its class is expressed as a linear combination...