@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}, author = {Collectif}, series = {S\'eminaire Bourbaki}, note = {talk:530}, publisher = {Springer-Verlag}, number = {21}, year = {1980}, zbl = {0432.32016}, mrnumber = {572419}, language = {en}, url = {http://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 DA - 1980/// IS - 21 PB - Springer-Verlag UR - http://www.numdam.org/item/SB_1978-1979__21__80_0/ UR - https://zbmath.org/?q=an%3A0432.32016 UR - https://www.ams.org/mathscinet-getitem?mr=572419 LA - en ID - SB_1978-1979__21__80_0 ER -
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. http://www.numdam.org/item/SB_1978-1979__21__80_0/
[1] Construction of instantons, Physics Letters, 65 A (1978), 185-187. | MR 598562 | Zbl 0424.14004
, , , -[2] Vector bundles on projective 3-space, Inventiones math., 35 (1976), 131-153. | MR 419852 | Zbl 0332.32020
, -[3] Submanifolds of low codimension in projective space, Proc. I.C.M. Vancouver (1975), 409-413. | MR 422294 | Zbl 0349.14024
-[4] Some properties of stable rank -2 vector bundles on Pn , Math. Ann., 226 (1977), 125-150. | MR 429896 | Zbl 0332.32021
-[5] Moduli of vector bundles on the projective plane, Inventiones math. 42 ( 1977), 63-91. | MR 460330 | Zbl 0386.14005
-[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. | MR 517517 | Zbl 0381.55005
, -[8] Monads and moduli of vector bundles, Manuscripta math. 25(1978), 323-347. | MR 509589 | Zbl 0395.14007
, -[9] A decomposability criterion for algebraic 2-bundles on projective spaces, Inventiones Math., 25 (1974), 91-106. | MR 379515 | Zbl 0295.14006
, -[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. | MR 354661 | Zbl 0299.14024
, -[11] Coherent sheaves on PN and problems of linear algebra, J. of functional analysis and its applications, 12 (1978), 68-69. | MR 509388 | Zbl 0402.14006
-[12] On locally free sheaves over P3 connected with Yang-Mills fields, Uspechi, 33 (1978), 165-166. | MR 498569 | Zbl 0399.14008
, -[13] J. Functional Analysis and its applications, 12(1978), 78-79. | Zbl 0402.53040
, -[14] Les fibrés uniformes de rang 3 sur P2(C) sont homogènes, Math. Ann., 231 (1978), 217-227. | MR 481133 | Zbl 0378.14003
-[15] Des fibrés uniformes non homogènes, Preprint 1978, Nice. | MR 519013
-[16] Courbes gauches et fibrés de rang 2 , C. R. Acad. Sci. Paris, 281 (1975), A 345-347. | MR 379517 | Zbl 0315.14019
-[17] On the moduli of vector bundles on an algebraic surface, Ann. of Math., 106 (1977), 45-60. | MR 466475 | Zbl 0381.14003
-[18] Vektorbündel vom Rang 2 über dem n-dimensionalen komplex-projektiven Raum, Manuscripta math., 16 (1975), 75-100. | MR 382278 | Zbl 0318.32027
, -[19] Zur Spaltung lokal-freier Garben über Riemannschen Flächen, Math. Z., 144 (1975), 35-43. | MR 382733 | Zbl 0312.32017
, -[20] Komplexe Unterräume und holomorphe Vektorraurnbündelvom Rang zwei, Math. Ann., 230 (1977), 75-90. | MR 481134 | Zbl 0412.32014
, -[21] Sur la classification des fibrés holomorphes sur la sphère de Riemann, Amer. J. Math., 79 (1956), 121-138. | MR 87176 | Zbl 0079.17001
-[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. | MR 384816 | Zbl 0304.14005
-[24] Stable vector bundles and instantons, Comm. Math. Phys., 59 (1978), 1-15. | MR 480510 | Zbl 0383.14006
-[25] Stable vector bundles of rank 2 on P3 . Math. Ann., 238(1978), 229-280. | MR 514430 | Zbl 0411.14002
-[26] Algebraic vector bundles on projective spaces : a problem list, Preprint 1978. | MR 544153
-[27] Vector bundles on the punctured spectrum of a local ring, Proc. London Math. Soc. (3), 14 (1964), 689-713. | MR 169877 | Zbl 0126.16801
-[28] A construction for locally free sheaves, Topology, 7 (1968), 117-120. | MR 227180 | Zbl 0162.27305
-[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. | MR 502651 | Zbl 0388.14009
-[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. | MR 382279 | Zbl 0255.14017
, -[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. | MR 364255 | Zbl 0307.14007
-[36] On the topology of complex projective manifolds, Inventiones math., 19 (1973), 251-260. | MR 318511 | Zbl 0255.32004
-[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. | MR 360587 | Zbl 0282.14002
-[39] Stable vector bundles on an algebraic surface, Nagoya Math. J., 58 (1975), 25-68. | MR 396576 | Zbl 0337.14026
-[40] Openness of a family of torsion free sheaves, J. Math. Kyoto Univ., 16 (1976), 627-637. | MR 429899 | Zbl 0404.14004
-[41] Moduli of stable sheaves, I. J. Math. Kyoto Univ., 17 (1977), 91-126. | MR 450271 | Zbl 0374.14002
-[42] Moduli of stable sheaves, II. J. Math. Kyoto Univ., to appear. | MR 509499 | Zbl 0395.14006
-[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. | MR 401764 | Zbl 0331.14002
-[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. | MR 517518 | Zbl 0384.55003
-[47] Uniform vector bundles on a Projective space, J. Math. Soc. Japan, 28 (1976), 123-132. | MR 399101 | Zbl 0315.14003
-[48] On the decomposability of infinitely extendable vector bundles on projective spaces and Grassmann varieties, J. Math. Kyoto Univ., 17 (1977), 127-150. | MR 437535 | Zbl 0362.14005
-[49] Sur les modules projectifs, Séminaire Dubreil-Pisot, (1960/61), Exposé 2. | Numdam | Zbl 0132.41301
-[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. | MR 137711 | Zbl 0212.26003
-[52] Vector bundles on the projective plane, Proc. London Math. Soc. (3), 11 (1961), 623-640. | MR 137712 | Zbl 0212.26004
-[53] Appendix I of Topological Methods in Algebraic Geometry by F. Hirzebruch, Springer 1966. | MR 1335917
-[54] Complex 2-plane bundles over CP(n) , Manuscripta Math., 24 (1978), 221-228. | MR 474296 | Zbl 0383.32012
-[55] Complex 2-plane bundles over complex projective space, Preprint 1978, Göttingen. | MR 544595
-[56] Stable vector bundles on algebraic surfaces, Nagoya Math. J. 47(1972), 29-48. | MR 337966 | Zbl 0245.14007
-[57] On (n - 1)-dimensional projective spaces contained in the Grassmann variety Gr(n,1) , J. Math. Kyoto Univ., 14 (1974), 415-460. | MR 371915 | Zbl 0332.14020
-[58] An example of indecomposable vector bundle of rank n- 1 on Pn , J. Math. Kyoto Univ., 16(1976), 137-141. | MR 401766 | Zbl 0339.14008
-[59] On morphisms from projective space Pn to the Grassmann variety Gr(n,d) , J. Math. Kyoto Univ., 16(1976), 201-207. | MR 401787 | Zbl 0326.14015
-[60] Almost complex structures on complex projective spaces, Trans. Amer. Math. Soc., 193 (1974), 123-132. | MR 353196 | Zbl 0264.53019
-[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 507912
-[63] On uniform vector bundles, Math. Ann., 195(1972), 245-248. | MR 291182 | Zbl 0215.43202
-[64] A construction for vector bundles of rank 3 , Preprint 1978, Leiden.
, -