Some splitting criteria on Hirzebruch surfaces

被引：0

作者：

Fulger, Mihai ^{[1
,2
]}

Marchitan, Marius ^{[3
]}

机构：

[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[2] Romanian Acad, Inst Math, Bucharest 014700, Romania

[3] Univ Stefan Cel Mare, Suceava 720229, Romania

来源：

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE | 2011年 / 54卷 / 04期

关键词：

Hirzebruch surface; vector bundlle; Beilinson spectral sequence; cohomological methods; classification; RANK-2; VECTOR-BUNDLES; GRASSMANNIANS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove some criteria for splitting of rank-two vector bundles on Hirzebruch surfaces. As a main tool we use Beilinson's type spectral sequences.

引用

页码：313 / 323

页数：11

共 17 条

[1] [Anonymous], 1980, PROGR MATH
[2] 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
[3] Aprodu M, 1996, CR ACAD SCI I-MATH, V323, P627
[4] A Note on vector bundles on Hirzebruch surfaces
Aprodu, Marian
Marchitan, Marius
[J]. COMPTES RENDUS MATHEMATIQUE, 2011, 349 (11-12) : 687 - 690
[5] Aprodu Marian., 2009, London Math. Soc. Lecture Note Ser, V359, P426
[6] BRANZANESCU V, 1996, LECT NOTES MATH, V1624
[7] BRANZANESCU V, 1984, I REV ROUMAINE MATH, V29, P661
[8] BRINZANESCU V, 1984, LECT NOTES MATH, V1056, P34
[9] RANK-2 VECTOR-BUNDLES ON A RULED SURFACE .1.
BROSIUS, JE
[J]. MATHEMATISCHE ANNALEN, 1983, 265 (02) : 155 - 168
[10] STABLE 2-BUNDLES ON HIRZEBRUCH SURFACES
BUCHDAHL, NP
[J]. MATHEMATISCHE ZEITSCHRIFT, 1987, 194 (01) : 143 - 152