Higher Syzygies of Elliptic Ruled Surfaces
نویسنده
چکیده
The purpose of this article is to study the minimal free resolution of homogeneous coordinate rings of elliptic ruled surfaces. Let X be an irreducible projective variety and L a very ample line bundle on X , whose complete linear series defines the morphism φL : X −→ P(H (L)) Let S = ⊕∞ m=0 S H(X,L) and R(L) ⊕∞ m=0 H (X,L). Since R(L) is a finitely generated graded module over S, it has a minimal graded free resolution. We say that the line bundle L is normally generated if the natural maps SH(X,L) → H(X,L)
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