On the classical characteristic linear series of plane curves with nodes and cuspidal points : two examples of Beniamino Segre

Allen Tannenbaum

Compositio Mathematica (1984)

  • Volume: 51, Issue: 2, page 169-183
  • ISSN: 0010-437X

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Tannenbaum, Allen. "On the classical characteristic linear series of plane curves with nodes and cuspidal points : two examples of Beniamino Segre." Compositio Mathematica 51.2 (1984): 169-183. <http://eudml.org/doc/89638>.

@article{Tannenbaum1984,
author = {Tannenbaum, Allen},
journal = {Compositio Mathematica},
keywords = {curve singularity; deformations of reduced plane curves; characteristic linear series; nodes; cusps},
language = {eng},
number = {2},
pages = {169-183},
publisher = {Martinus Nijhoff Publishers},
title = {On the classical characteristic linear series of plane curves with nodes and cuspidal points : two examples of Beniamino Segre},
url = {http://eudml.org/doc/89638},
volume = {51},
year = {1984},
}

TY - JOUR
AU - Tannenbaum, Allen
TI - On the classical characteristic linear series of plane curves with nodes and cuspidal points : two examples of Beniamino Segre
JO - Compositio Mathematica
PY - 1984
PB - Martinus Nijhoff Publishers
VL - 51
IS - 2
SP - 169
EP - 183
LA - eng
KW - curve singularity; deformations of reduced plane curves; characteristic linear series; nodes; cusps
UR - http://eudml.org/doc/89638
ER -

References

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  1. [1] E. Arbarello and M. Cornalba: Su una congettura di Petri. Comment. Math. Helvetici56 (1981) 1-38. Zbl0505.14002MR615613
  2. [2] V.I. Arnold: Normal forms of functions in neighborhoods of degenerate critical points. Russian Math. Surveys29 (1974) 10-50. Zbl0304.57018MR516034
  3. [3] M. Artin: Algebraization of formal moduli. Global Analysis (papers in honor of K. Kodaira; edited by D. Spencer and S. Iyanaga), University of Tokyo Press, 21-71 (1969). Zbl0205.50402MR260746
  4. [4] E. Horikawa: On deformations of holomorphic maps I. J. Math. Soc. Japan25 (1978) 372-396. Zbl0254.32022MR322209
  5. [5] D. Mumford: Lectures on Curves on an Algebraic Surface. Princeton University Press, Princeton, N.J. (1966). Zbl0187.42701MR209285
  6. [6] R. Piene: Polar classes of singular varieties. Ann. Scient. Ec. Norm. Sup. Ser. 4 Vol. II (1978) 247-276. Zbl0401.14007MR510551
  7. [7] B. Segre: Dei sistemi lineari tangenti ad un qualunque sistema di forme. Atti Acad. naz. Lincei Rendiconti serie 5 Vol. 33 (1924) 182-185. Zbl50.0443.03JFM50.0443.03
  8. [8] B. Segre: Esistenza e dimensione di sistemi continui di curve piane algebriche con dati caraterri. Atti Acad. naz. Lincei Rendiconti serie 6 Vol. 10 (1929) 31-38. Zbl55.1001.01JFM55.1001.01
  9. [9] F. Severi: Osservazioni sui sistemi continui di curve appartenenti ad una superficie algebrica. Atti Acad. Sci. Torino Vol.39 (1904) 376-392. JFM35.0634.01
  10. [10] A. Tannenbaum.Families of algebraic curves with nodes. Conip. Math.41 (1980) 107-126. Zbl0399.14018MR578053
  11. [11] J. Wahl: Deformations of plane curves with nodes and cusps. Amer. J. Math.96 (1974) 529-577. Zbl0299.14008MR387287
  12. [12] O. Zariski: Algebraic Surfaces. 2nd supplemented edition, Springer, Berlin/New York (1971). Zbl0219.14020MR469915

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