Families of algebraic curves with nodes

Allen Tannenbaum

Compositio Mathematica (1980)

  • Volume: 41, Issue: 1, page 107-126
  • ISSN: 0010-437X

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Tannenbaum, Allen. "Families of algebraic curves with nodes." Compositio Mathematica 41.1 (1980): 107-126. <http://eudml.org/doc/89447>.

@article{Tannenbaum1980,
author = {Tannenbaum, Allen},
journal = {Compositio Mathematica},
keywords = {Families of Algebraic Curves with Nodes; Ruled Rational Surfaces},
language = {eng},
number = {1},
pages = {107-126},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Families of algebraic curves with nodes},
url = {http://eudml.org/doc/89447},
volume = {41},
year = {1980},
}

TY - JOUR
AU - Tannenbaum, Allen
TI - Families of algebraic curves with nodes
JO - Compositio Mathematica
PY - 1980
PB - Sijthoff et Noordhoff International Publishers
VL - 41
IS - 1
SP - 107
EP - 126
LA - eng
KW - Families of Algebraic Curves with Nodes; Ruled Rational Surfaces
UR - http://eudml.org/doc/89447
ER -

References

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  2. [2] M. Artin: Algebraization of formal moduli I. Global Analysis (papers in honor of K. Kodaira; edited by D. Spencer and S. Iyanaga), University of Tokyo Press, (1969) 21-71. Zbl0205.50402MR260746
  3. [3] G. Castelnuovo: Ricerche generali sopra i sistemi lineari di curve piane. Mem. Accad. Sci. Torino II s. vol. 42 (1891). Also in Memoire Scelte, Nicola Zanichelli Editore, Bologna, (1937) 137-188. JFM23.0653.01
  4. [4] G. Castelnuovo: Sui multipli di una serie di gruppi di punti appartemente ad una curva algebrica. Rend. Circ. Mat. Palermo7 (1893). Also in Memorie Scelte, Nicola Zanichelli Editore, Bologna, (1937) 95-113. JFM25.1035.02
  5. [5] P. Griffiths and J. Harris: Principles of Algebraic Geometry. John Wiley and Sons, New York (1978). Zbl0408.14001MR507725
  6. [6] R. Hartshorne: Algebraic Geometry. Graduate Texts in Mathematics, Springer-Verlag, New York (1977). Zbl0367.14001MR463157
  7. [7] E. Horikawa: On deformations of holomorphic maps I. J. Math. Soc. Japan25 (1978) 372-396. Zbl0254.32022MR322209
  8. [8] E. Horikawa: On deformations of holomorphic maps II. J. Math. Soc. Japan26 (1974) 647-667. Zbl0286.32014MR352540
  9. [9] K. Kodaira and D.C. Spencer: On deformations of complex analytic structures I, II. Ann. Math.667 (1958) 328-466. Zbl0128.16901MR112154
  10. [10] S. Lichtenbaum and M. Schlessinger.The Contangent Complex of a Morphism. Trans. Amer. Math. Soc.128 (1967) 41-70. Zbl0156.27201MR209339
  11. [11] M. Lindner: Ueber die Mannigfaltigkeit ebener Kurven mit Singularitaten. Arch. Math.28 (1977) 603-610. Zbl0329.14004MR444672
  12. [12] M. Mumford: Lectures on curves on an algebraic surface. Annals of Mathematics Studies59, Princeton, New Jersey (1966). Zbl0187.42701
  13. [13] M. Nagata: On Rational Surfaces II. Mem. Coll. Sci. Univ. Kyoto, Ser. A. Math.32 (1960-61) 351-370. Zbl0100.16703MR126443
  14. [14] R. Piene: Polar classes of singular varieties. Ann. Scient. Ec. Norm. Sup. Ser.4, vol. II (1978) 247-276. Zbl0401.14007MR510551
  15. [15] R. Piene: Ideals associated to a desingularization. Pre-print of Institut Mittag-Leffler, Report No. 14 (1978). MR555713
  16. [16] H. Popp: Zur Reduktionstheorie algebraischer Funktionen-Körper I. Arch. Math.17 (1960) 510-522. Zbl0192.26901MR205996
  17. [17] M. Schlessinger: Functors of Artin rings. Trans. Amer. Math. Soc.130 (1968) 208-222. Zbl0167.49503MR217093
  18. [18] C.S. Seshadri: Theory of Moduli. Proceedings of Symposia in Pure Mathematics 29, Amer. Math. Soc., Providence, Rhode Island, (1975) 263-299. Zbl0321.14005
  19. [19] F. Severi: Vorlesungen über algebraische Geometrie. Johnson Pub. (reprinted, 1968; 1st. ed., Leipzig1921). Zbl48.0687.01MR245574JFM48.0687.01
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Citations in EuDML Documents

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  1. Daniel Pecker, Simple constructions of algebraic curves with nodes
  2. Allen Tannenbaum, On the classical characteristic linear series of plane curves with nodes and cuspidal points : two examples of Beniamino Segre
  3. Edoardo Ballico, Gonality for stable curves and their maps with a smooth curve as their target
  4. Edoardo Ballico, Paolo Oliverio, Nodal curves in 3 ( )
  5. Edoardo Ballico, Paolo Oliverio, Nodal curves in 3 ( )
  6. Edoardo Ballico, Cristiano Bocci, Claudio Fontanari, Zero-dimensional subschemes of ruled varieties
  7. Daniel Pecker, Sur le genre arithmétique des courbes rationnelles
  8. Edoardo Sernesi, Famiglie di curve sulle superfici algebriche
  9. Gert-Martin Greuel, Ulrich Karras, Families of varieties with prescribed singularities
  10. François Loeser, Déformations de courbes planes

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