Normal presentation on Elliptic Ruled surfaces
| dc.creator | Gallego, Francisco | |
| dc.creator | Purnaprajna, B. P. | |
| dc.date | 1995-11-23 | |
| dc.date | 1995-11-30 | |
| dc.date.accessioned | 2026-07-07T08:58:03Z | |
| dc.date.available | 2026-07-07T08:58:03Z | |
| dc.description | In this article we determine exactly which line bundles on elliptic ruled surface X are normally presented. In particular we see that numerical classes of normally presented divisors form a convex set. (recall that Num(X) is generated by the class of a minimal section C_0 and by the class of a fiber f and that C_0 is ample.) As a corollary of the above result we show that Mukai's conjecture is true for the normal presentation of the it adjoint linear series for an elliptic ruled surface. In section 5 of this article, we show that if L is normally presented on X then the homogeneous coordinate ring associated to L is Koszul. We also give a new proof of the following result due to Butler: if deg(L) \geq 2g+2 on a curve X of genus g, then L embeds X with Koszul homogeneous coordinate ring. | |
| dc.description | AMS TeX 2.1 with AMSppt and epsf.tex. 24 pages with 1 EPS figure | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9511013 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9511013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/147173 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14 | |
| dc.title | Normal presentation on Elliptic Ruled surfaces | |
| dc.type | text |