Courbes passant par $m$ points généraux de $P^3$

Courbes passant par

m

points généraux de

P^{3}

Perrin, Daniel

Mémoires de la Société Mathématique de France, no. 28-29 (1987) , 140 p.

MR Zbl | 3 citations dans Numdam

DOI : 10.24033/msmf.330

@book{MSMF_1987_2_28-29__1_0,
     author = {Perrin, Daniel},
     title = {Courbes passant par $m$ points g\'en\'eraux de $P^3$},
     series = {M\'emoires de la Soci\'et\'e Math\'ematique de France},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {28-29},
     year = {1987},
     doi = {10.24033/msmf.330},
     mrnumber = {89j:14020},
     zbl = {0648.14028},
     language = {fr},
     url = {http://www.numdam.org/item/MSMF_1987_2_28-29__1_0/}
}

TY  - BOOK
AU  - Perrin, Daniel
TI  - Courbes passant par $m$ points généraux de $P^3$
T3  - Mémoires de la Société Mathématique de France
PY  - 1987
IS  - 28-29
PB  - Société mathématique de France
UR  - http://www.numdam.org/item/MSMF_1987_2_28-29__1_0/
DO  - 10.24033/msmf.330
LA  - fr
ID  - MSMF_1987_2_28-29__1_0
ER  -

%0 Book
%A Perrin, Daniel
%T Courbes passant par $m$ points généraux de $P^3$
%S Mémoires de la Société Mathématique de France
%D 1987
%N 28-29
%I Société mathématique de France
%U http://www.numdam.org/item/MSMF_1987_2_28-29__1_0/
%R 10.24033/msmf.330
%G fr
%F MSMF_1987_2_28-29__1_0

Perrin, Daniel. Courbes passant par $m$ points généraux de $P^3$. Mémoires de la Société Mathématique de France, Série 2, no. 28-29 (1987), 140 p. doi : 10.24033/msmf.330. http://numdam.org/item/MSMF_1987_2_28-29__1_0/

Bibliographie
Cité par

[1] E. Ballico et P. Ellia. - J. Reine une Angew. Math. 350, 1984, p. 87-93. | Zbl | MR | EuDML

[2] E. Ballico et P. Ellia. - Invent. Maths 79, 1985, p. 541-555. | Zbl | MR | EuDML

[3] D. Coray. - Proc. Lond. Math. Soc. (3), 46, 1983, p. 263-287. | Zbl | MR

[4] P. Ellia. - Math. Ann., 264, 1983, p. 389-396. | Zbl | EuDML | MR

[5] P. Ellia, L. Gruson, C. Peskine. - Manuscrit, Nice, 1984.

[6] G. Ellingsrud. - Ann. Scient. Ec. Norm. Sup., 4e série, 8, 1975, p. 423-432. | Zbl | Numdam | MR

[7] G. Ellingsrud et A. Hirschowitz. - C. R. Acad. Sci. Paris, Série I, 1984, t. 299, p. 245-248. | Zbl | MR

[8] D. Eisenbud et A. Van De Ven. - Math. Ann., 256, 1981, p. 453-463. | Zbl | MR | EuDML

[9] W. Fulton. - Algebraic Curves, Benjamin. | Zbl

[10] F. Ghione et G. Sacchiero. - Manuscripta Math., 33, 1980, p. 111-128. | Zbl | MR

[11] P. Griffiths et J. Harris. - Compositio Math., 50, 1983, p. 207-265. | MR | Numdam

[12] A. Grothendieck. - Fondements de la géométrie algébrique, Sém. Bourbaki, 1957-1962. | Zbl

[13] A. Grothendieck. - Eléments de géométrie algébrique, Publ. Math. IHES. | Numdam

[14] L. Gruson, R. Lazarsfeld, C. Peskine. - Invent. Maths, 72, 1983, p. 491-506. | Zbl | MR

[15] L. Gruson et C. Peskine. - Lecture notes in Maths, 687, 1977, p. 31-59. | Zbl | MR

[16] L. Gruson et C. Peskine. - Ann. Scient. Ec. Norm. Sup., 4e série, 15, 1982, p. 401-418. | Zbl | MR | Numdam

[17] L. Gruson et C. Peskine. - Lecture Notes in Maths, 997, 1983, p. 218-227. | Zbl | MR

[18] J. Harris. - Curves in projective space, Presses de l'Université de Montréal. | Zbl

[19] J. Harris et K. Hulek. - Math. Ann., 264, 1983, p. 129-135. | Zbl | MR

[20] R. Hartshorne. - Algebraic Geometry, 1977, Springer Verlag. | Zbl | MR

[21] R. Hartshorne. - Lecture Notes in Maths, 156, 1970. | Zbl | MR

[22] R. Hartshorne. - In Vector bundles and differential equations, Birkhäuser.

[23] R. Hartshorne. - Math. Ann., 238, 1978, p. 229-280. | Zbl | MR

[24] R. Hartshorne et A. Hirschowitz. - Lecture Notes in Maths, 961, 1982, p. 169-188. | Zbl | MR

[25] R. Hartshorne et A. Hirschowitz. - Preprint N° 42, Université de Nice, 1984.

[26] R. Hartshorne et A. Hirschowitz. - Preprint N° 54, Université de Nice, 1983.

[27] R. Hartshorne et A. Hirschowitz. - Manuscrit, Nice, 1985.

[28] A. Hirschowitz. - Acta Math., 146, 1981, p. 209-230. | Zbl | MR

[29] K. Hulek. - Math. Ann., 258, 1981, p. 201-206. | Zbl | MR

[30] K. Hulek et G. Sacchiero. - Arch. der Math., 40, (1), 1983, p. 61-68. | Zbl | MR

[31] S. Kleiman. - Compositio Math., 28, 3, 1974, p. 287-297. | Zbl | MR | Numdam

[32] J.O. Kleppe. - Thèse, Institute of Mathematics, University of Oslo, 1981.

[33] S. Lichtenbaum et M. Schlessinger. - Trans. AMS, 128, 1967, p. 41-70. | Zbl | MR

[34] R. Maggioni et A. Ragusa. - J. of Algebra, 92, 1985, p. 176-193 et 194-207. | Zbl | MR

[35] M. Maruyama. - Nagoya Math. J., 58, 1975, p. 25-68. | Zbl | MR

[36] C. Michel. - Compléments de géométrie moderne, Paris, Vuibert, 1926. | Zbl

[37] D. Mumford. - Lectures on curves on an algebraic surface, 1966, Princeton University Press. | Zbl | MR

[38] D. Mumford. - Amer. J. Maths, 84., 1962, p. 642-648. | Zbl | MR

[39] M. Nagata. - Nagoya Math. J., 37, 1970, p. 191-196. | Zbl | MR

[40] P.E. Newstead. - J. Lond. Math. Soc., (2), 28, 1983, p. 428-434. | Zbl | MR

[41] D. Perrin. - C. R. Acad. Sci. Paris, 299, Série I, 1984, p. 451-453. | Zbl | MR

[42] D. Perrin. - C. R. Acad. Sci. Paris, 299, Série I, 1984, p. 879-882. | Zbl | MR

[43] D. Perrin. - C. R. Acad. Sci. Paris, 300, Série I, N° 2, 1985, p. 39-42. | Zbl | MR

[44] C. Peskine, L. Szpiro. - Invent. Maths, 26, 1974, p. 271-302. | Zbl | MR

[45] A. Prabhakar Rao. - Invent. Maths, 50, 1979, p. 205-217. | Zbl | MR

[46] M. Raynaud. - Bull. Soc. Math. France, 110, 1982, p. 103-125. | Zbl | MR | Numdam

[47] G. Sacchiero. - Comm. in Algebra, 11, (18), 1983, p. 2115-2121. | Zbl | MR

[48] E. Sernesi. - Seminario di variabili complesse 1981, Bologna, 1982.

[49] E. Sernesi. - Invent. Maths, 75, 1984, p. 25-57. | Zbl | MR

[50] F. Takemoto. - Nagoya Math. J., 47, 1972. | Zbl | MR

[51] A. Van De Ven. - C. R. Acad. Sci. Paris, 289, Série A, 1979, p. 111-113. | Zbl | MR

[52] L. Ein. - Hilbert scheme of smooth space curves, Preprint Los Angelès, 1985.

[53] E. Ballico. - On the postulation of disjoint rational curves in a projective space, Preprint Pisa 1984.

[54] G. Ellingsrud et A. Hirschowitz, en préparation.

Larson, Eric; Vakil, Ravi; Vogt, Isabel The interpolation problem: when can you pass a curve of a given type through $n$ random points in space?, Bulletin of the American Mathematical Society. New Series, Volume 62 (2025) no. 1, pp. 67-91 | DOI:10.1090/bull/1850 | Zbl:7962921
Ran, Ziv Interpolation of curves on Fano hypersurfaces, Communications in Contemporary Mathematics, Volume 26 (2024) no. 1, p. 41 (Id/No 2350002) | DOI:10.1142/s0219199723500025 | Zbl:1540.14112
Larson, Eric On the cohomology of $N_{C} (- 2)$ in positive characteristic, Communications in Contemporary Mathematics, Volume 26 (2024) no. 10, p. 11 (Id/No 2350067) | DOI:10.1142/s0219199723500670 | Zbl:7916672
Ballico, Edoardo; Chiantini, Luca Terracini loci of curves, Revista Matemática Complutense, Volume 37 (2024) no. 2, pp. 447-465 | DOI:10.1007/s13163-023-00467-0 | Zbl:1541.14049
Larson, Eric; Vogt, Isabel Interpolation for Brill-Noether curves, Forum of Mathematics, Pi, Volume 11 (2023), p. 90 (Id/No e25) | DOI:10.1017/fmp.2023.22 | Zbl:1528.14035
Ballico, Edoardo; Ellia, Philippe The maximal genus of space curves in the range $A$ , Albanian Journal of Mathematics, Volume 15 (2021) no. 1, pp. 10-38 | Zbl:1470.14059
Larson, Eric The generality of a section of a curve, Journal of the London Mathematical Society. Second Series, Volume 104 (2021) no. 2, pp. 886-925 | DOI:10.1112/jlms.12451 | Zbl:1480.14022
Ballico, Edoardo Projective curves with nice normal bundles and containing a prescribed subset of a hyperplane, Sarajevo Journal of Mathematics, Volume 17 (2021) no. 2, pp. 175-190 | DOI:10.5644/sjm.17.02.05 | Zbl:1513.14007
Ballico, Edoardo On the Hilbert function of intersections of a hypersurface with general reducible curves, Albanian Journal of Mathematics, Volume 14 (2020), pp. 79-90 | Zbl:1464.14030
Ballico, E. A vanishing theorem for the twisted normal bundle of curves in $P^{n}, n ⩾ 8$ , Canadian Mathematical Bulletin, Volume 63 (2020) no. 1, pp. 1-5 | DOI:10.4153/s0008439519000146 | Zbl:1446.14017
Ballico, E. Non-gaps for the genera for space curves in the range A, Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche, Volume 65 (2019) no. 1, pp. 21-27 | DOI:10.1007/s11565-019-00315-4 | Zbl:1411.14033
Atanasov, Atanas; Larson, Eric; Yang, David Interpolation for normal bundles of general curves, Memoirs of the American Mathematical Society, 1234, Providence, RI: American Mathematical Society (AMS), 2019 | DOI:10.1090/memo/1234 | Zbl:1471.14004
Boij, M.; Migliore, J.; Miró-Roig, R. M.; Nagel, U. The minimal resolution conjecture on a general quartic surface in $P^{3}$ , Journal of Pure and Applied Algebra, Volume 223 (2019) no. 4, pp. 1456-1471 | DOI:10.1016/j.jpaa.2018.06.014 | Zbl:1407.13011
Ballico, Edoardo; Ellia, Philippe; Fontanari, Claudio Maximal rank of space curves in the range A, European Journal of Mathematics, Volume 4 (2018) no. 3, pp. 778-801 | DOI:10.1007/s40879-018-0235-z | Zbl:1430.14063
Lehmann, Brian Asymptotic behavior of the dimension of the Chow variety, Advances in Mathematics, Volume 308 (2017), pp. 815-835 | DOI:10.1016/j.aim.2016.12.024 | Zbl:1401.14029
Ballico, Edoardo Space curves with a prescribed index of regularity, Bulletin of the Institute of Mathematics. Academia Sinica. New Series, Volume 12 (2017) no. 4, pp. 361-374 | DOI:10.21915/bimas.2017405 | Zbl:1395.14025
Kleppe, Jan O.; Miró-Roig, Rosa M. On the normal sheaf of determinantal varieties, Journal für die Reine und Angewandte Mathematik, Volume 719 (2016), pp. 173-209 | DOI:10.1515/crelle-2014-0041 | Zbl:1352.14033
Ballico, E. Postulation of a general union of an $m$ -point and a general smooth rational curve, Mediterranean Journal of Mathematics, Volume 12 (2015) no. 2, pp. 281-300 | DOI:10.1007/s00009-014-0418-x | Zbl:1316.14099
Hartshorne, Robin; Sabadini, Irene; Schlesinger, Enrico Codimension 3 arithmetically Gorenstein subschemes of projective $N$ -space, Annales de l'Institut Fourier, Volume 58 (2008) no. 6, pp. 2037-2073 | DOI:10.5802/aif.2405 | Zbl:1155.14005
Ballico, E. Regular components of moduli spaces of stable maps and $k$ -gonal curves, Rocky Mountain Journal of Mathematics, Volume 36 (2006) no. 2, pp. 381-390 | DOI:10.1216/rmjm/1181069457 | Zbl:1147.14008
Le Tat, T. Space curves with the expected postulation, Journal of Pure and Applied Algebra, Volume 177 (2003) no. 3, p. 253 | DOI:10.1016/s0022-4049(02)00155-x
Ellia, Ph.; Franco, D. Gonality, Clifford index and multisecants, Journal of Pure and Applied Algebra, Volume 158 (2001) no. 1, pp. 25-39 | DOI:10.1016/s0022-4049(00)00020-7 | Zbl:1012.14011
Ballico, E. Arithmetically Cohen Macaulay embeddings of reducible curves, Rendiconti del Circolo Matemàtico di Palermo. Serie II, Volume 50 (2001) no. 2, pp. 312-320 | DOI:10.1007/bf02844985 | Zbl:1172.14310
Martin-Deschamps, Mireille; Perrin, Daniel The Hilbert scheme of locally Cohen-Macaulay space curves is (almost) never reduced, Annales Scientifiques de l'École Normale Supérieure. Quatrième Série, Volume 29 (1996) no. 6, pp. 757-785 | DOI:10.24033/asens.1753 | Zbl:0892.14005
Dolcetti, A.; Ellia, Ph. Some remarks on first infinitesimal neighbourhoods of space curves, Communications in Algebra, Volume 23 (1995) no. 11, p. 4261 | DOI:10.1080/00927879508825463
Stevens, Jan On the number of points determining a canonical curve, Indagationes Mathematicae, Volume 51 (1989) no. 4, pp. 485-494 | Zbl:0724.14017

Cité par 26 documents. Sources : Crossref, zbMATH