On the adjunction mapping of very ample vector bundles of corank one

被引：1

作者：

Lanteri, A

Palleschi, M

Sommese, AJ

机构：

[1] Univ Milan, Dipartimento Matemat F Enriques, I-20133 Milan, Italy

[2] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 356卷 / 06期

关键词：

vector bundle (very ample); adjunction mapping;

D O I：

10.1090/S0002-9947-03-03278-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let E be a very ample vector bundle of rank n - 1 over a smooth complex projective variety X of dimension n greater than or equal to 3. The structure of (X, E) being known when K(K(X) + det E) less than or equal to 0, we investigate the structure of the adjunction mapping when 0 < K(K(X) + det E) < n.

引用

页码：2307 / 2324

页数：18

共 50 条

[1] Nefness of adjoint bundles for ample vector bundles of corank 3
Tironi, Andrea L.
[J]. MATHEMATISCHE NACHRICHTEN, 2013, 286 (14-15) : 1548 - 1570
[2] Some adjunction properties of ample vector bundles
Ishihara, H
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2001, 44 (04): : 452 - 458
[3] Generalized adjunction of k-very ample vector bundles on algebraic surfaces
Takahashi, K
Terakawa, H
[J]. GEOMETRIAE DEDICATA, 1998, 71 (03) : 309 - 325
[4] Generalized Adjunction of k-Very Ample Vector Bundles on Algebraic Surfaces
Kazuyoshi Takahashi
Hiroyuki Terakawa
[J]. Geometriae Dedicata, 1998, 71 : 309 - 325
[5] Generalized adjunction of k-very ample vector bundles on algebraic surfaces II
Takahashi, K
[J]. MATHEMATISCHE NACHRICHTEN, 2000, 212 : 173 - 190
[6] Special varieties in adjunction theory and ample vector bundles
Lanteri, A
Maeda, H
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2001, 130 : 61 - 75
[7] ON AMPLE VECTOR-BUNDLES WHOSE ADJUNCTION BUNDLES ARE NOT NUMERICALLY EFFECTIVE
YE, YG
ZHANG, Q
[J]. DUKE MATHEMATICAL JOURNAL, 1990, 60 (03) : 671 - 687
[8] On very ample vector bundles on curves
Ionescu, P
Toma, M
[J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 1997, 8 (05) : 633 - 643
[9] Ample vector bundles of curve genus one
Lanteri, A
Maeda, H
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1999, 42 (02): : 209 - 213
[10] Very ample vector bundles of curve genus two
Maeda, H
Sommese, AJ
[J]. ARCHIV DER MATHEMATIK, 2002, 79 (01) : 74 - 80

← 1 2 3 4 5 →