Projective normality of ruled surfaces

Euisung Park
2007 Proceedings of the American Mathematical Society  
In this article we study normal generation of irrational ruled surfaces. When C is a smooth curve of genus g, Green and Lazarsfeld proved that a very ample line bundle L ∈ PicX with deg(L) ≥ 2g +1−2h 1 (X, L)−Cliff(X) is normally generated where Cliff(C) denotes the Clifford index of the curve C (Green and Lazarsfeld, 1986) . We generalize this to line bundles on a ruled surface over C.
doi:10.1090/s0002-9939-07-09121-6 fatcat:pi64autwzjcihlmgrulgstvcim