The speciality lemma, rank 2 bundles and Gherardelli-type theorems for surfaces in P4

被引：5

作者：

Roggero, M

Valabrega, P

机构：

[1] Univ Turin, Dipartimento Matemat, I-10123 Turin, Italy

[2] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

来源：

COMPOSITIO MATHEMATICA | 2003年 / 139卷 / 01期

关键词：

Gherardelli theorems; rank; 2; bundles; speciality lemma; subcanonical surfaces;

D O I：

10.1023/B:COMP.0000005076.71029.a9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper we give a very short and easy proof of the speciality lemma for codimension 2 subvarieties, even those that are reducible or non-reduced, in P-n. Furthermore we give cohomological conditions that force a subcanonical surface in P-4 to be a complete intersection and a rank 2 bundle to split, which generalize the classical First Theorem of Gherardelli.

引用

页码：101 / 111

页数：11

共 25 条

[1] A FEW SPLITTING THEOREMS FOR RANK 2 VECTOR BUNDLES ON P-4
Roggero, M.
Valabrega, P.
[J]. ATTI ACCADEMIA PELORITANA DEI PERICOLANTI-CLASSE DI SCIENZE FISICHE MATEMATICHE E NATURALI, 2005, 83
[2] Construction of low rank vector bundles on P4 and P5
Kumar, NM
Peterson, C
Rao, AP
[J]. JOURNAL OF ALGEBRAIC GEOMETRY, 2002, 11 (02) : 203 - 217
[3] Construction of rank two vector bundles on P4 in positive characteristic
N. Mohan Kumar
[J]. Inventiones mathematicae, 1997, 130 : 277 - 286
[4] RANK-2 VECTOR-BUNDLES ON P4 WITH C1 ODD AND CONTACT CURVES
DECKER, W
NARASIMHAN, MS
SCHREYER, FO
[J]. MATHEMATISCHE ZEITSCHRIFT, 1990, 205 (01) : 123 - 136
[5] Examples of smooth non-general type surfaces in P4
Popescu, S
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1998, 76 : 257 - 275
[6] GENERIC DIVISION TYPES AND THE 2ND CHERN CLASS OF STABLE VECTOR-SPACE BUNDLES OF RANK-4 IN P4
HOPPE, HJ
[J]. MATHEMATISCHE ZEITSCHRIFT, 1984, 187 (03) : 345 - 360
[7] Correspondence between projective bundles over P2 and rational hypersurfaces in P4
Vats, Shivam
[J]. BULLETIN DES SCIENCES MATHEMATIQUES, 2024, 195
[8] Stable rank three vector bundles on P4 with Chern classes (c1, c2, c3) = (-2,4,0)
Abo, Hirotachi
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2006, 207 (02) : 299 - 317
[9] Non-general type surfaces in P4:: Some remarks on bounds and constructions
Decker, W
Schreyer, FO
[J]. JOURNAL OF SYMBOLIC COMPUTATION, 2000, 29 (4-5) : 545 - 582
[10] NON-VANISHING THEOREMS FOR NON-SPLIT RANK 2 BUNDLES ON P-3 : A SIMPLE APPROACH
Valabrega, Paolo
Valenzano, Mario
[J]. ATTI ACCADEMIA PELORITANA DEI PERICOLANTI-CLASSE DI SCIENZE FISICHE MATEMATICHE E NATURALI, 2009, 87 (01):

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