Ample and Spanned Rank-2 Vector Bundles with k-Jet Ample Determinant on Algebraic Surfaces

被引：0

作者：

Kazuyoshi Takahashi

机构：

[1] School of Science and Engineering,Department of Mathematics

[2] Waseda University,undefined

来源：

Geometriae Dedicata | 1999年 / 77卷

关键词：

higher order embeddings; k-jet ampleness; vector bundles.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We investigate ample and spanned rank-2 vector bundles E with k-jet ample determinant on algebraic surfaces S. In paticular, we classify such polarized pairs (S,E) with small second Chern class. The case of c_2(E)=k+1 is a generalization of the result of Ballico and Lanteri.

引用

页码：185 / 201

页数：16

共 50 条

[31] Chern numbers of ample vector bundles on toric surfaces
Di Rocco, S
Sommese, AJ
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 356 (02) : 587 - 598
[32] MODULI OF STABLE RANK 2 BUNDLES WITH AMPLE C(1) ON K3 SURFACES
NAKASHIMA, T
[J]. ARCHIV DER MATHEMATIK, 1993, 61 (01) : 100 - 104
[33] A NOTION OF Δ-MULTIGENUS FOR CERTAIN RANK TWO AMPLE VECTOR BUNDLES
Arrondo, Enrique
Lanteri, Antonio
Novelli, Carla
[J]. KODAI MATHEMATICAL JOURNAL, 2013, 36 (01) : 137 - 153
[34] AMPLE VECTOR-BUNDLES ON OPEN ALGEBRAIC-VARIETIES
TAKAYAMA, S
[J]. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1993, 29 (06) : 885 - 910
[35] MODULI SPACES OF STABLE RANK-2 VECTOR-BUNDLES ON ALGEBRAIC-SURFACES
HOPPE, HJ
SPINDLER, H
[J]. MATHEMATISCHE ANNALEN, 1980, 249 (02) : 127 - 140
[36] VECTOR-BUNDLES OF RANK-2 AND LINEAR-SYSTEMS ON ALGEBRAIC-SURFACES
REIDER, I
[J]. ANNALS OF MATHEMATICS, 1988, 127 (02) : 309 - 316
[37] Ample and spanned vector bundles of top Chern number two on smooth projective varieties
Noma, A
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 126 (01) : 35 - 43
[38] Geometrically ruled surfaces as zero loci of ample vector bundles
Lanteri, A
Maeda, H
[J]. FORUM MATHEMATICUM, 1997, 9 (01) : 1 - 15
[39] THE MODULI SPACES OF SOME RANK-2 STABLE VECTOR-BUNDLES OVER ALGEBRAIC K3-SURFACES
ZUO, K
[J]. DUKE MATHEMATICAL JOURNAL, 1991, 64 (02) : 403 - 408
[40] Stable rank-2 vector bundles over ruled surfaces
Aprodu, M
Brinzanescu, V
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1997, 325 (03): : 295 - 300

← 1 2 3 4 5 →