@article{CM_1986__60_2_209_0,
author = {Kucharz, Wojciech},
title = {Vector bundles over real algebraic surfaces and threefolds},
journal = {Compositio Mathematica},
volume = {60},
year = {1986},
pages = {209-225},
mrnumber = {868138},
zbl = {0615.14007},
language = {en},
url = {http://dml.mathdoc.fr/item/CM_1986__60_2_209_0}
}
Kucharz, Wojciech. Vector bundles over real algebraic surfaces and threefolds. Compositio Mathematica, Tome 60 (1986) pp. 209-225. http://gdmltest.u-ga.fr/item/CM_1986__60_2_209_0/
[1] and : The topology of real algebraic sets with isolated singularities. Ann. of Math. (2) (1981) 425-446. | MR 621011 | Zbl 0494.57004
[2] : Algebraic K-theory. Benjamin (1968). | MR 249491 | Zbl 0174.30302
[3] and : On real algebraic vector bundles. Bull. Sci. Math. (2) 104 (1980) 89-112. | MR 560747 | Zbl 0421.58001
[4] and : Remarks and counterexamples in the theory of real algebraic vector bundles and cycles. Lectures Notes in Math. 959 (1981) 198-211. | MR 683134 | Zbl 0498.14015
[5] , and : Divisor class groups of some rings of global real analytic, Nash or rational regular functions. Lecture Notes in Math. 959 (1981) 218-248. | MR 683136 | Zbl 0519.14019
[6] , and : Géomètrie Algébrique Réelle (book in preparation). | Zbl 0633.14016
[7] and : On real algebraic morphisms into Sn, preprint.
[8] and : La classe d'homologie fondamentale d'une espace analytique. Bull. Soc. Math. France 89 (1961) 461-513. | Numdam | MR 149503 | Zbl 0102.38502
[9] and : Differential Forms in Algebraic Topology, GMT82, Springer-Verlag (1982). | MR 658304 | Zbl 0496.55001
[10] : Projective modules as fibre bundles. Proc. Amer. Math. Soc. 27 (1971) 623-626. | MR 269642 | Zbl 0213.29801
[11] : Vector bundles over spheres are algebraic. Invent. Math. 8 (1969) 222-225. | MR 250298 | Zbl 0172.48502
[12] and : Algebraic vector bundles on projective spaces. Invent. Math. 10 (1970) 298-304. | MR 480519 | Zbl 0199.55601
[13] : Topological methods in algebraic geometry. Springer-Verlag (1966). | MR 202713 | Zbl 0138.42001
[14] : Fibre Bundles, second edition, Springer-Verlag (1975). | MR 370578 | Zbl 0307.55015
[15] : Comparson des K-theories algébrique et topologique de quelques varietes algébrique. C.R. Acad. Sc. Paris, Ser. A272 (1971) 1373-1375. | MR 292848 | Zbl 0227.14013
[16] : K-theory. Springer-Verlag (1978). | Zbl 0382.55002
[17] : On homology of real algebraic sets, Invent. Math. 82, 19-25 (1985). | MR 808106 | Zbl 0547.14018
[18] : An algebrization of vector bundles on compact manifolds. Journal of Pure and Applied Algebra 2 (1972) 193-207. | Zbl 0236.55016
[19] : Algebraic vector bundles over the 2-sphere. Invent. Math. 14 (1971) 167-172. | MR 294334 | Zbl 0224.14008
[20] , and : Characteristic classes. Annals of Mathematics Studies 76, Princeton University Press (1974). | MR 440554 | Zbl 0298.57008
[21] : Vector bundles over affine surfaces birationally equivalent to a ruled surface. Ann. of Math. (2) (89) (1969) 242-253. | MR 241434 | Zbl 0185.24504
[22] : Sur l'homologie des surface algébriques réelles. Lecture Notes in Math. 959 (1981) 381-385. | MR 683144 | Zbl 0503.14014
[23] : Comparison of algebraic and topological K-theory. Lecture Notes in Math. 342 (1973) 74-78. | MR 374139 | Zbl 0268.18014
[24] : Faisceaux algébriques cohérents. Ann. of Math. 61 (1955) 197-278. | MR 68874 | Zbl 0067.16201
[25] : A bound on the order of H(a)n-1(X, Z/2) on a real algebraic variety. Lecture Notes in Math. 959 (1981) 443-450; | MR 683148 | Zbl 0558.14003
[26] : Real algebraic realization of characteristic classes. RIMS Kyoto University, 18 (2) (1982) 995-1008. | MR 688940 | Zbl 0518.14011
[27] : Algebraic Topology. McGraw-Hill Book Company: New York (1966). | MR 210112 | Zbl 0145.43303
[28] : Vector bundles and projective modules. Trans. Amer. Math. Soc. 105 (1962) 264-277. | MR 143225 | Zbl 0109.41601
[29] : Algebraic geometry and Nash functions. Inst. Math. Vol. III, Acad. Press London and New York (1978). | MR 556239 | Zbl 0418.14002