@incollection{AST_2009__323__223_0, author = {Loray, Frank and Mar{\'\i}n P\'erez, David}, title = {Projective structures and projective bundles over compact {Riemann} surfaces}, booktitle = {\'Equations diff\'erentielles et singularit\'es. En l'honneur de J. M. Aroca}, editor = {Cano F. and Loray F. and Moralez-Ruiz J. J. and Sad P. and Spivakovsky M.}, series = {Ast\'erisque}, pages = {223--252}, publisher = {Soci\'et\'e math\'ematique de France}, number = {323}, year = {2009}, zbl = {1194.30045}, language = {en}, url = {http://archive.numdam.org/item/AST_2009__323__223_0/} }
TY - CHAP AU - Loray, Frank AU - Marín Pérez, David TI - Projective structures and projective bundles over compact Riemann surfaces BT - Équations différentielles et singularités. En l'honneur de J. M. Aroca AU - Collectif ED - Cano F. ED - Loray F. ED - Moralez-Ruiz J. J. ED - Sad P. ED - Spivakovsky M. T3 - Astérisque PY - 2009 SP - 223 EP - 252 IS - 323 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_2009__323__223_0/ LA - en ID - AST_2009__323__223_0 ER -
%0 Book Section %A Loray, Frank %A Marín Pérez, David %T Projective structures and projective bundles over compact Riemann surfaces %B Équations différentielles et singularités. En l'honneur de J. M. Aroca %A Collectif %E Cano F. %E Loray F. %E Moralez-Ruiz J. J. %E Sad P. %E Spivakovsky M. %S Astérisque %D 2009 %P 223-252 %N 323 %I Société mathématique de France %U http://archive.numdam.org/item/AST_2009__323__223_0/ %G en %F AST_2009__323__223_0
Loray, Frank; Marín Pérez, David. Projective structures and projective bundles over compact Riemann surfaces, dans Équations différentielles et singularités. En l'honneur de J. M. Aroca, Astérisque, no. 323 (2009), pp. 223-252. http://archive.numdam.org/item/AST_2009__323__223_0/
[1] Complex fibre bundles and ruled surfaces", Proc. London Math. Soc. (3) 5 (1955), p. 407-434. | DOI | Zbl
- "[2] Compact complex surfaces, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), vol. 4, Springer, 1984. | Zbl
, & -[3] Opers", preprint arXiv:math/0501398, 2005.
& - "[4] Solutions of a Lamé system", private notes, 2004.
- "[5] A theorem on matrices of analytic functions", Math. Ann. 74 (1913), p. 122-133. | DOI | EuDML | JFM
- "[6] Birational geometry of foliations, Monografías de Matemática, Instituto de Matemática Pura e Aplicada (IMPA), Rio de Janeiro, 2000, http://www.impa.br/Publicacoes/Monografias/Abstracts/brunella.ps. | Zbl
-[7] On variation of projective structures", in Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference (State Univ. New York, Stony Brook, N. Y., 1978), Ann. of Math. Stud., vol. 97, Princeton Univ. Press, 1981, p. 87-99. | Zbl
- "[8] Lectures on Riemann surfaces, Graduate Texts in Mathematics, vol. 81, Springer, 1981. | MR | Zbl
-[9] The monodromy groups of Schwarzian equations on closed Riemann surfaces", Ann. of Math. (2) 151 (2000), p. 625-704. | DOI | EuDML | MR | Zbl
, & - "[10] The symplectic nature of fundamental groups of surfaces", Adv. in Math. 54 (1984), p. 200-225. | DOI | MR | Zbl
- "[11] Holomorphic foliations in ruled surfaces", Trans. Amer. Math. Soc. 312 (1989), p. 179-201. | DOI | MR | Zbl
- "[12] Special coordinate coverings of Riemann surfaces", Math. Ann. 170 (1967), p. 67-86. | DOI | EuDML | MR | Zbl
- "[13] Analytic structures on the space of flat vector bundles over a compact Riemann surface", in Several complex variables, II (Proc. Internat. Conf., Univ. Maryland, College Park, Md., 1970), Springer, 1971, p. 47-62. Lecture Notes in Math., Vol. 185. | MR | Zbl
, "[14] Affine and projective structures on Riemann surfaces", in Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference (State Univ. New York, Stony Brook, N.Y., 1978), Ann. of Math. Stud., vol. 97, Princeton Univ. Press, 1981, p. 225-244. | MR | Zbl
, "[15] Algebraic geometry, Springer, 1977, Graduate Texts in Mathematics, No. 52. | DOI | MR | Zbl
-[16] Monodromy groups and linearly polymorphic functions", Acta Math. 135 (1975), p. 1-55. | DOI | MR | Zbl
- "[17] Twistor spaces, Einstein metrics and isomonodromic deformations", J. Differential Geom. 42 (1995), p. 30-112. | DOI | MR | Zbl
- "[18] The monodromy of projective structures", in Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference (State Univ. New York, Stony Brook, N.Y., 1978), Ann. of Math. Stud., vol. 97, Princeton Univ. Press, 1981, p. 257-275. | MR | Zbl
- "[19] An overview of Deligne's work on Hilbert's twenty-first problem", in Mathematical developments arising from Hilbert problems (Proc. Sympos. Pure Math., Vol. XXVIII, Northern Illinois Univ., De Kalb, Ill., 1974), Amer. Math. Soc., 1976, p. 537-557. | MR | Zbl
- "[20] The symplectic nature of the space of projective connections on Riemann surfaces", Math. Ann. 305 (1996), p. 161-182. | DOI | EuDML | MR | Zbl
- "[21] Branched structures on Riemann surfaces", Trans. Amer. Math. Soc. 163 (1972), p. 261-275. | DOI | MR | Zbl
- "[22] Branched structures and affine and projective bundles on Riemann surfaces", Trans. Amer. Math. Soc. 183 (1973), p. 37-58. | DOI | MR | Zbl
, "[23] Unstable bundles and branched structures on Riemann surfaces", Math. Ann. 214 (1975), p. 49-59. | DOI | EuDML | MR | Zbl
, "[24] On classification of ruled surfaces, Lectures in Mathematics, Department of Mathematics, Kyoto University, vol. 3, Kinokuniya Book-Store Co. Ltd., 1970. | MR | Zbl
-[25] On self-intersection number of a section on a ruled surface", Nagoya Math. J. 37 (1970), p. 191-196. | DOI | MR | Zbl
- "[26] Note on the structure of a ruled surface", J. reine angew. Math. 239-240 (1969), p. 68-73. | EuDML | MR | Zbl
& - "[27] Stable and unitary vector bundles on a compact Riemann surface", Ann. of Math. (2) 82 (1965), p. 540-567. | DOI | MR | Zbl
& - "[28] Sur les groupes des équations linéaires", Acta Math. 4 (1884), p. 201-312. | DOI | JFM | MR
- "[29] The Topology of Fibre Bundles, Princeton Mathematical Series, vol. 14, Princeton University Press, 1951. | MR | Zbl
-[30] On ruled surfaces of genus ", J. Math. Soc. Japan 21 (1969), p. 291-311. | DOI | MR | Zbl
- "[31] On the classification of two-dimensional fibre bundles over an algebraic curve of arbitrary genus", Izv. Akad. Nauk SSSR Ser. Mat. 28 (1964), p. 21-52. | MR
- "[32] Geometry of moduli of vector bundles", Uspehi Mat. Nauk 29 (1974), p. 59-88. | MR | Zbl
, "[33] Periods of quadratic differentials", Uspekhi Mat. Nauk 33 (1978), p. 149-195, 272. | MR | Zbl
, "[34] Généralisation des fonctions abéliennes", J. Math. Pures Appl. 17 (1938), p. 47-87. | JFM
- "[35] On discrete subgroups of Lie groups", Ann. of Math. (2) 72 (1960), p. 369-384. | DOI | MR | Zbl
, "