Highly Influenced

# Linear Sections of the Severi Variety and Moduli of Curves

@inproceedings{FedorchukLinearSO, title={Linear Sections of the Severi Variety and Moduli of Curves}, author={Maksym Fedorchuk} }

We study the Severi variety V d,g of plane curves of degree d and geometric genus g. Corresponding to every such variety, there is a one-parameter family of genus g stable curves whose numerical invariants we compute. Building on the work of Caporaso and Harris, we derive a recursive formula for the degrees of the Hodge bundle on the families in question. For d large enough, these families induce moving curves in M g. We use this to derive lower bounds for the slopes of effective divisors on Mg… CONTINUE READING