Projective embeddings of projective schemes blown up at subschemes
| dc.creator | Ha, Huy Tai | |
| dc.date | 2002-04-19 | |
| dc.date | 2003-07-04 | |
| dc.date.accessioned | 2026-07-07T06:29:07Z | |
| dc.date.available | 2026-07-07T06:29:07Z | |
| dc.description | Let X be a nonsingular arithmetically Cohen-Macaulay projective scheme, Z a nonsingular subscheme of X. Let π: Y --> X be the blowup of X along the ideal sheaf of Z, E_0 the pull-back of a general hyperplane in X and E the exceptional divisor. In this paper, we study projective embeddings of Y given by the divisor tE_0 - eE. We give explicit values of d and δsuch that for all e > 0 and t > ed + δ, these embeddings is projectively normal and arithmetically Cohen-Macaulay. We also study the regularity of the ideal sheaf and syzygies of these embeddings. When X is a surface and Z is a 0-dimensional subscheme of X, we show that these embeddings possess N_p property for t >> e. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0204250 | |
| dc.identifier | http://arxiv.org/abs/math/0204250 | |
| dc.identifier | Math. Z. 246 (2004), no. 1-2, 111--124. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97924 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 14E25, 14M05, 13H10 | |
| dc.title | Projective embeddings of projective schemes blown up at subschemes | |
| dc.type | text |