@book{MSMF_1993_2_54__1_0, author = {Ramella, Luciana}, title = {Sur les sch\'emas d\'efinissant les courbes rationnelles lisses de $\mathbb {P}^3$ ayant fibr\'e normal et fibr\'e tangent restreint fix\'es}, series = {M\'emoires de la Soci\'et\'e Math\'ematique de France}, publisher = {Soci\'et\'e math\'ematique de France}, number = {54}, year = {1993}, doi = {10.24033/msmf.368}, mrnumber = {94k:14022}, zbl = {0813.14020}, language = {fr}, url = {https://www.numdam.org/item/MSMF_1993_2_54__1_0/} }
TY - BOOK AU - Ramella, Luciana TI - Sur les schémas définissant les courbes rationnelles lisses de $\mathbb {P}^3$ ayant fibré normal et fibré tangent restreint fixés T3 - Mémoires de la Société Mathématique de France PY - 1993 IS - 54 PB - Société mathématique de France UR - https://www.numdam.org/item/MSMF_1993_2_54__1_0/ DO - 10.24033/msmf.368 LA - fr ID - MSMF_1993_2_54__1_0 ER -
%0 Book %A Ramella, Luciana %T Sur les schémas définissant les courbes rationnelles lisses de $\mathbb {P}^3$ ayant fibré normal et fibré tangent restreint fixés %S Mémoires de la Société Mathématique de France %D 1993 %N 54 %I Société mathématique de France %U https://www.numdam.org/item/MSMF_1993_2_54__1_0/ %R 10.24033/msmf.368 %G fr %F MSMF_1993_2_54__1_0
Ramella, Luciana. Sur les schémas définissant les courbes rationnelles lisses de $\mathbb {P}^3$ ayant fibré normal et fibré tangent restreint fixés. Mémoires de la Société Mathématique de France, Série 2, no. 54 (1993), 80 p. doi : 10.24033/msmf.368. http://numdam.org/item/MSMF_1993_2_54__1_0/
[aB] Filtration de Harder-Narasimhan et stratification de Shatz, in "Modules des fibrés stables sur les courbes algébriques", exp. 4, Progress in Math. 54, Birkhäuser, 1985. | Zbl | MR
,[C] Le superficie razionali, Zanichelli, Bologna (1939). | Zbl | JFM
,[wlE] The theory of ruled surfaces, Cambridge Univ. Press, 1931. | Zbl
,[EV1] On the normal bundles of smooth rational space curves, Math. Ann. 256 (1881) 453-463. | Zbl | MR
- ,[EV2] On the variety of smooth rational space curves with given degree and normal bundle, Invent. Math. 67 (1982) 89-100. | Zbl | MR
- ,[gE-aH] Sur le fibré normal des courbes gauches, C.R. Acad. Sc. Paris 299 (1984) 245-248. | Zbl | MR
- ,[F] Courbes gauches et fibrés de rang 2, C.R. Acad. Sc. Paris 281 (1975) série A, 345-347. | Zbl | MR
,[fG-aI-gS] Restricted tangent bundles of rational curves in Pr, Ann. Scient. Éc. Norm. Sup., à paraître.
- - ,[fG-gS] Normal bundle of rational curves in P3, Manuscripta Math. 33 (1980) 111-128. | Zbl | MR
- ,[pG-jH] Principles of algebraic geometry, Wiley - Interscience Publication, 1978. | Zbl | MR
- ,[aG] Techniques de construction et théorèmes d'existence en géometrie algébrique : Les schémas de Hilbert, Sém. Bourbaki, exp. 221, 1.1 (1960/1961). | Zbl | Numdam
,[rH] Algebraic geometry, Graduate texts in mathematics 52, Springer-Verlag, 1977. | Zbl | MR
,[rH-aH] Smoothing algebraic space curves, in "Algebraic geometry-Sitges 1983", L.N. in Math. n. 1124, Springer-Verlag, 1984, 98-131. | Zbl | MR
- ,[aH1] Rank techniques and jump stratifications, in "Vector bundles and algebraic varieties", Proc. Bombay 1984", Oxford Univ. Press, 1987, 159-205. | Zbl | MR
,[aH2] Sections planes et multisecantes pour les courbes gauches génériques principales, en "Space curves, Rocca di Papa 1985", L.N. in Math. n. 1266, Springer-Verlag, 1987, 124-155. | Zbl | MR
,[hK] On the normal bundles of rational space curves, Math. Ann. 273 (1985) 163-176. | Zbl | MR
,[dP] Courbes gauches, fibré normal et liaison, C.R. Acad. Sc. Paris 300 série I (1985) 39-42. | Zbl | MR
,[rP] Numerical characters of a curve in projective n-space, in "Real and complex singularities, Oslo 1976", Sijthoff en Noordhoff, 1978, 475-495. | Zbl | MR
,[lR1] Sur le schéma de Hilbert des courbes rationnelles de P3, Thèse de doctorat, Univ. de Nice, 1988.
,[lR2] La stratification du schéma de Hilbert des courbes rationnelles lisses de Pn par le fibré tangent restreint, C.R. Acad. Sc. Paris 311 série I (1990) 181-184. | Zbl | MR
,[lR3] Sur la birationalité de certains morphismes de Gauss, en préparation.
,[gS] On the varieties parametrising rational space curves with fixed normal bundle, Manuscripta Math. 37 (1982) 217-228. | Zbl | MR
,[SR] Introduction to algebraic geometry, Clarendon Press, Oxford, 1949. | Zbl | MR
- ,[cS] Fibrés vectoriels sur les courbes algébriques, rédigé par M. Drezet, Asterisque 96, Soc. Math. de France, 1982. | Zbl | MR | Numdam
,[lS] Lectures on equations defining space curves, Tate Inst. Bombay, 1979. | Zbl | MR
,[V] Two dimensional σ-models and harmonic maps from S2 to S2n, en "Group theoretical methods in Physics", L.N. in Physics n. 180, Springer-Verlag, 1983. | Zbl
,- The tangent bundle restricted to a rational curve spanning
, Journal of Algebra, Volume 610 (2022), pp. 703-727 | DOI:10.1016/j.jalgebra.2022.07.024 | Zbl:1498.14085 - Normal bundles of rational curves in projective space, Mathematische Zeitschrift, Volume 288 (2018) no. 3-4, pp. 803-827 | DOI:10.1007/s00209-017-1914-z | Zbl:1391.14067
- An algorithm for the normal bundle of rational monomial curves, Rendiconti del Circolo Matemàtico di Palermo. Serie II, Volume 67 (2018) no. 2, pp. 291-306 | DOI:10.1007/s12215-017-0315-9 | Zbl:1401.14153
- Self-linked curves and normal bundle, Journal of Pure and Applied Algebra, Volume 219 (2015) no. 1, pp. 77-82 | DOI:10.1016/j.jpaa.2014.04.010 | Zbl:1332.14040
- Bulletin of the Brazilian Mathematical Society. New Series, 45 (2014) no. 4, pp. 711-725 | DOI:10.1007/s00574-014-0070-x | Zbl:1317.14026
- Normal bundle of rational curves and Waring decomposition, Journal of Algebra, Volume 400 (2014), pp. 123-141 | DOI:10.1016/j.jalgebra.2013.11.008 | Zbl:1318.14030
- A remark on Weierstrass points and linear series on multiple covering curves, Acta Mathematica Sinica, English Series, Volume 24 (2008) no. 3, p. 397 | DOI:10.1007/s10114-007-4099-0
- Stratification of the Hilbert scheme of space curves with a stable normal bundle, ANNALI DELL UNIVERSITA DI FERRARA, Volume 50 (2004) no. 1, p. 27 | DOI:10.1007/bf02825342
- Weierstrass multiple points on algebraic curves and ramified coverings, Israel Journal of Mathematics, Volume 104 (1998), pp. 335-348 | DOI:10.1007/bf02897070 | Zbl:0946.14020
Cité par 9 documents. Sources : Crossref, zbMATH