@incollection{SB_1978-1979__21__80_0,
author = {Schneider, Michael},
title = {Holomorphic vector bundles on $\mathbb {P}_n$},
booktitle = {S\'eminaire Bourbaki : vol. 1978/79, expos\'es 525-542},
series = {S\'eminaire Bourbaki},
note = {talk:530},
pages = {80--102},
year = {1980},
publisher = {Springer-Verlag},
address = {Berlin/Heidelberg},
number = {21},
mrnumber = {572419},
zbl = {0432.32016},
language = {en},
url = {https://www.numdam.org/item/SB_1978-1979__21__80_0/}
}
TY - CHAP
AU - Schneider, Michael
TI - Holomorphic vector bundles on $\mathbb {P}_n$
BT - Séminaire Bourbaki : vol. 1978/79, exposés 525-542
AU - Collectif
T3 - Séminaire Bourbaki
N1 - talk:530
PY - 1980
SP - 80
EP - 102
IS - 21
PB - Springer-Verlag
PP - Berlin/Heidelberg
UR - https://www.numdam.org/item/SB_1978-1979__21__80_0/
LA - en
ID - SB_1978-1979__21__80_0
ER -
%0 Book Section
%A Schneider, Michael
%T Holomorphic vector bundles on $\mathbb {P}_n$
%B Séminaire Bourbaki : vol. 1978/79, exposés 525-542
%A Collectif
%S Séminaire Bourbaki
%Z talk:530
%D 1980
%P 80-102
%N 21
%I Springer-Verlag
%C Berlin/Heidelberg
%U https://www.numdam.org/item/SB_1978-1979__21__80_0/
%G en
%F SB_1978-1979__21__80_0
Schneider, Michael. Holomorphic vector bundles on $\mathbb {P}_n$, dans Séminaire Bourbaki : vol. 1978/79, exposés 525-542, Séminaire Bourbaki, no. 21 (1980), Exposé no. 530, 23 p.. https://www.numdam.org/item/SB_1978-1979__21__80_0/
[1] , , , - Construction of instantons, Physics Letters, 65 A (1978), 185-187. | Zbl | MR
[2] , - Vector bundles on projective 3-space, Inventiones math., 35 (1976), 131-153. | Zbl | MR
[3] - Submanifolds of low codimension in projective space, Proc. I.C.M. Vancouver (1975), 409-413. | Zbl | MR
[4] - Some properties of stable rank -2 vector bundles on Pn , Math. Ann., 226 (1977), 125-150. | Zbl | MR
[5] - Moduli of vector bundles on the projective plane, Inventiones math. 42 ( 1977), 63-91. | Zbl | MR
[6] - Stable vector bundles on P3 , some experimental data, Preprint 1978.
[7] , - Concernant la cohomologie des fibrés algébriques stables sur Pn (C) . In Variétés Analytiques Compactes, Nice 1977, Lecture Notes in Math., 683 (1978), 1-24. | Zbl | MR
[8] , - Monads and moduli of vector bundles, Manuscripta math. 25(1978), 323-347. | Zbl | MR
[9] , - A decomposability criterion for algebraic 2-bundles on projective spaces, Inventiones Math., 25 (1974), 91-106. | Zbl | MR
[10] , - On the geometry in codimension 2 of Grassmann manifolds, In classification of algebraic varieties and compact complex manifolds, Lecture Notes in Math., 412 (1974), 1-35. | Zbl | MR
[11] - Coherent sheaves on PN and problems of linear algebra, J. of functional analysis and its applications, 12 (1978), 68-69. | Zbl | MR
[12] , - On locally free sheaves over P3 connected with Yang-Mills fields, Uspechi, 33 (1978), 165-166. | Zbl | MR
[13] , - J. Functional Analysis and its applications, 12(1978), 78-79. | Zbl
[14] - Les fibrés uniformes de rang 3 sur P2(C) sont homogènes, Math. Ann., 231 (1978), 217-227. | Zbl | MR
[15] - Des fibrés uniformes non homogènes, Preprint 1978, Nice. | MR
[16] - Courbes gauches et fibrés de rang 2 , C. R. Acad. Sci. Paris, 281 (1975), A 345-347. | Zbl | MR
[17] - On the moduli of vector bundles on an algebraic surface, Ann. of Math., 106 (1977), 45-60. | Zbl | MR
[18] , - Vektorbündel vom Rang 2 über dem n-dimensionalen komplex-projektiven Raum, Manuscripta math., 16 (1975), 75-100. | Zbl | MR
[19] , - Zur Spaltung lokal-freier Garben über Riemannschen Flächen, Math. Z., 144 (1975), 35-43. | Zbl | MR
[20] , - Komplexe Unterräume und holomorphe Vektorraurnbündelvom Rang zwei, Math. Ann., 230 (1977), 75-90. | Zbl | MR
[21] - Sur la classification des fibrés holomorphes sur la sphère de Riemann, Amer. J. Math., 79 (1956), 121-138. | Zbl | MR
[22] - Théorèmes de dualité pour les faisceaux algébriques cohérents, Séminaire Bourbaki, Exposé 149, Mai 1957, W. A. Benjamin-Addison-Wesley, New York, 1966. | Numdam
[23] - Varieties of small codimension in projective space, Bull. Amer. Math. Soc., 80 (1974), 1017-1032. | Zbl | MR
[24] - Stable vector bundles and instantons, Comm. Math. Phys., 59 (1978), 1-15. | Zbl | MR
[25] - Stable vector bundles of rank 2 on P3 . Math. Ann., 238(1978), 229-280. | Zbl | MR
[26] - Algebraic vector bundles on projective spaces : a problem list, Preprint 1978. | MR
[27] - Vector bundles on the punctured spectrum of a local ring, Proc. London Math. Soc. (3), 14 (1964), 689-713. | Zbl | MR
[28] - A construction for locally free sheaves, Topology, 7 (1968), 117-120. | Zbl | MR
[29] - Letter to Mumford (1971).
[30] - Examples of rank three vector bundles on five-dimensional projective space, J. London Math. Soc. (2), 18 (1978), 15-27. | Zbl | MR
[31] - Construction of bundles on Pn , Preprint 1978.
[32] , - A rank 2 vector bundle on P4 with 15,000 symmetries, Topology, 12 (1973), 63-81. | Zbl | MR
[33] - Talk at Oberwolfach 1978.
[34] - Vector bundles on the complex projective plane, Thesis, Leiden (1976).
[35] - Valuative criteria for families of vector bundles on algebraic varieties, Ann. of Math. (2), 101 (1975), 88-110. | Zbl | MR
[36] - On the topology of complex projective manifolds, Inventiones math., 19 (1973), 251-260. | Zbl | MR
[37] - Fibrés stables de rang 2 sur P2(C) , Preprint 1978, Paris VII.
[38] - On a family of algebraic vector bundles, Number theory,algebraic geometry and commutative algebra, in honor of Y. Akizuki, Kinokuniya, Tokyo (1973), 95-146. | Zbl | MR
[39] - Stable vector bundles on an algebraic surface, Nagoya Math. J., 58 (1975), 25-68. | Zbl | MR
[40] - Openness of a family of torsion free sheaves, J. Math. Kyoto Univ., 16 (1976), 627-637. | Zbl | MR
[41] - Moduli of stable sheaves, I. J. Math. Kyoto Univ., 17 (1977), 91-126. | Zbl | MR
[42] - Moduli of stable sheaves, II. J. Math. Kyoto Univ., to appear. | Zbl | MR
[43] - Boundedness of semi-stable sheaves of small ranks, Preprint 1978.
[44] - Familien holomorpher Vektorraumbundelüber P1 und unzerlegbare holomorphe 2-Bündelüber der projektiven Ebene, Thesis, Göttingen, 1974.
[45] - On the formal neighborhood of a subvariety of projective space, Amer. J. Math., 97 (1976), 1085-1107. | Zbl | MR
[46] - Some rank two bundles on Pn(C) whose Chern classes vanish, In Variétés analytiques Compactes, Nice 1977, Lecture Notes in Math., 683 (1978), 25-28. | Zbl | MR
[47] - Uniform vector bundles on a Projective space, J. Math. Soc. Japan, 28 (1976), 123-132. | Zbl | MR
[48] - On the decomposability of infinitely extendable vector bundles on projective spaces and Grassmann varieties, J. Math. Kyoto Univ., 17 (1977), 127-150. | Zbl | MR
[49] - Sur les modules projectifs, Séminaire Dubreil-Pisot, (1960/61), Exposé 2. | Zbl | Numdam
[50] - Mannigfaltigkeiten der Codimension zwei im projektiven Raum, Private Notes.
[51] - Vector bundles on algebraic surfaces, Proc. London Math. Soc. (3), 11 (1961), 601-622. | Zbl | MR
[52] - Vector bundles on the projective plane, Proc. London Math. Soc. (3), 11 (1961), 623-640. | Zbl | MR
[53] - Appendix I of Topological Methods in Algebraic Geometry by F. Hirzebruch, Springer 1966. | MR
[54] - Complex 2-plane bundles over CP(n) , Manuscripta Math., 24 (1978), 221-228. | Zbl | MR
[55] - Complex 2-plane bundles over complex projective space, Preprint 1978, Göttingen. | MR
[56] - Stable vector bundles on algebraic surfaces, Nagoya Math. J. 47(1972), 29-48. | Zbl | MR
[57] - On (n - 1)-dimensional projective spaces contained in the Grassmann variety Gr(n,1) , J. Math. Kyoto Univ., 14 (1974), 415-460. | Zbl | MR
[58] - An example of indecomposable vector bundle of rank n- 1 on Pn , J. Math. Kyoto Univ., 16(1976), 137-141. | Zbl | MR
[59] - On morphisms from projective space Pn to the Grassmann variety Gr(n,d) , J. Math. Kyoto Univ., 16(1976), 201-207. | Zbl | MR
[60] - Almost complex structures on complex projective spaces, Trans. Amer. Math. Soc., 193 (1974), 123-132. | Zbl | MR
[61] - Finite dimensional vector bundles over infinite varieties, Math. U.S.S.R. Isvestija 10 (1976), 1187-1204.
[62] - Moduli for bundles on P n ,Preprint 1978, Kaiserslautern. | MR
[63] - On uniform vector bundles, Math. Ann., 195(1972), 245-248. | Zbl | MR
[64] , - A construction for vector bundles of rank 3 , Preprint 1978, Leiden.






