RT Journal Article T1 The irregularity of ruled surfaces in P 3 A1 Sols Lucía, Ignacio A1 Giraldo Suárez, Luis AB In this paper the authors determine which pairs of integers (d,q) appear as the degree and the irregularity of a ruled surface S in P 3 . The proof is based on the study of the base curve C of S in the Grassmannian G(1,3) ⊂P 5 : according to the dimension of the span of C some inequalities on d,q are given, and the existence of a curve C satisfying them follows from previous results of Rathmann and Pasarescu on curves in P 4 and in P 5 . PB Springer SN 0010-0757 YR 1998 FD 1998 LK https://hdl.handle.net/20.500.14352/58402 UL https://hdl.handle.net/20.500.14352/58402 LA eng NO DGICYT DS Docta Complutense RD 10 abr 2025