Morphisms, line bundles and moduli spaces in real algebraic geometry

 Access to full text

 Full (PDF)

1. [1] J. BOCHNAK, M. COSTE and M.-F. ROY, Géométrie Algébrique Réelle, Ergeb. Math., vol. 12, Springer-Verlag, 1987. Zbl0633.14016MR90b:14030
2. [2] J. BOCHNAK and W. KUCHARZ, Algebraic approximation of mappings into spheres, Michigan Math. J., 34 (1987), 119-125. Zbl0631.14019MR88h:58018
3. [3] J. BOCHNAK and W. KUCHARZ, Representation of homotopy classes by algebraic mappings, J. Reine Angew. Math. 377 (1987), 159-169. Zbl0619.14014MR88g:14016
4. [4] J. BOCHNAK and W. KUCHARZ, On real algebraic morphisms into even-dimensional spheres, Ann. of Math. 128 (1988), 415-433. Zbl0674.14013MR89k:57060
5. [5] J. BOCHNAK and W. KUCHARZ, Algebraic models of smooth manifolds, Invent. Math. 97 (1989), 585-611. Zbl0687.14023MR91b:14076
6. [6] J. BOCHNAK and W. KUCHARZ, Nonisomorphic algebraic models of a smooth manifold, Math. Ann. 290 (1991), 1-2. Zbl0714.14012MR92c:14053
7. [7] J. BOCHNAK and W. KUCHARZ, Vector bundles on a product of real cubic curves, K-Theory (1992) 487-497. Zbl0782.14014MR94e:14077
8. [8] J. BOCHNAK and W. KUCHARZ, Complex cycles on real algebraic models of a smooth manifold, Proc. Amer. Math. Soc. 114 (1992), 1097-1104. Zbl0760.57011MR93g:57032
9. [9] J. BOCHNAK and W. KUCHARZ, Elliptic curves and real algebraic morphisms, J. Algebraic Geometry 2 (1993), 635-666. Zbl0807.14046MR94e:14072
10. [10] J. BOCHNAK, M. BUCHNER and W. KUCHARZ, Vector bundles over real algebraic varieties, K-Theory 3 (1989), 271-298. Erratum, K-Theory 4 (1990), p. 103. Zbl0761.14020MR91b:14075
11. [11] P. DELIGNE, Le théorème de Noether, in : SGA 7II, p. 328-340, Lecture Notes in Math. 340, Springer, 1973. Zbl0269.14019MR50 #7135
12. [12] A. DOLD, Lectures on Algebraic Topology, Springer-Verlag, 1972. Zbl0234.55001MR54 #3685
13. [13] T. EKEDAHL et J.-P. SERRE, Exemples de courbes algébriques à Jacobienne complètement décomposable, C.R. Acad. Sci. Paris 317, Série I (1993), 509-513. Zbl0789.14026MR94j:14029
14. [14] B. H. GROSS and J. HARRIS, Real algebraic curves, Ann. Scient. Éc. Norm. Sup. 14 (1981), 157-182. Zbl0533.14011MR83a:14028
15. [15] H. HIRONAKA, Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. of Math. 79 (1964), 109-326. Zbl0122.38603MR33 #7333
16. [16] M. HIRSCH, Differential Topology, New York and Berlin, Springer, 1976. Zbl0356.57001MR56 #6669
17. [17] S. T. HU, Homotopy Theory, New York, Academic Press, 1959. Zbl0088.38803MR21 #5186
18. [18] S. LANG, Abelian Varieties, Interscience, New York, 1959. Zbl0098.13201MR21 #4959
19. [19] H. LANGE, Produkte elliptischer Kurven, Nachr. Akad. Wiss. Göttingen 8 (1975), 95-108. Zbl0317.14022MR58 #22088
20. [20] H. LANGE and Ch. BIRKENHAKE, Complex Abelian Varieties, Grundlehren der Math. Wissenschaften, vol. 302, Springer-Verlag, 1992. Zbl0779.14012MR94j:14001
21. [21] J.-L. LODAY, Applications algébriques du tore dans la sphère et du Sp X Sq dans Sp + q, Algebraic K-Theory II, Lecture Notes in Math., vol. 342, 79-91, Springer-Verlag, 1973, p. 79-91. Zbl0269.57001MR51 #4276
22. [22] J. S. MILNE, Jacobian varieties, in Arithmetic Geometry, edited by G. Cornell and J. H. Silverman, Springer-Verlag, 1986, p. 167-212. Zbl0604.14018MR861976
23. [23] Y. NAMIKAWA, Toroidal Compactification of Siegel Spaces, Lecture Notes in Math. vol. 812, Springer-Verlag, 1980. Zbl0466.14011MR82a:32034
24. [24] S. M. NATANZON, Moduli spaces of real curves, Trans. Moscow Math. Soc. Issue 1 (1980), 233-272. Zbl0452.14006
25. [25] M. SEPPÄLÄ, Moduli space of stable real algebraic curves, Ann. Scient. Éc. Norm. Sup. 24 (1991), 519-544. Zbl0757.32011MR93b:14047
26. [26] M. SEPPÄLÄ and R. SILHOL, Moduli spaces for real algebraic curves and real abelian varieties, Math. Zeitschrift 201 (1989), 151-165. Zbl0645.14012MR90k:14043
27. [27] J.-P. SERRE, Faisceaux algébriques cohérents, Ann. of Math. 61 (1955), 197-278. Zbl0067.16201MR16,953c
28. [28] I. R. SHAFAREVICH, Basic Algebraic Geometry, Springer-Verlag, 1977. Zbl0362.14001MR56 #5538
29. [29] R. SILHOL, Real Algebraic Surfaces, Lecture Notes in Math. vol. 1392, Springer-Verlag, 1989. Zbl0691.14010MR91i:14045
30. [30] R. SILHOL, Compactifications of moduli spaces in real algebraic geometry, Invent. Math. 107 (1992), 151-201. Zbl0777.14014MR93i:14018
31. [31] R. G. SWAN, Vector bundles and projective modules, Trans. Amer. Math. Soc. 105 (1962), 264-277. Zbl0109.41601MR26 #785
32. [32] R. G. SWAN, Topological examples of projective modules, Trans. Amer. Math. Soc. 230 (1977), 201-234. Zbl0443.13005MR56 #6657

1. Jacek Bochnak, Wojciech Kucharz, Robert Silhol, Erratum to : Morphisms, line bundles and moduli spaces in real algebraic geometry
2. Michele Lattarulo, Il problema di Schottky per curve reali
3. Riccardo Ghiloni, On the space of morphisms into generic real algebraic varieties