Maximal rank curves and singular points of the Hilbert scheme

Giorgio Bolondi; Jan O. Kleppe; Rosa Maria Miro-Roig

Compositio Mathematica (1991)

  • Volume: 77, Issue: 3, page 269-291
  • ISSN: 0010-437X

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Bolondi, Giorgio, Kleppe, Jan O., and Miro-Roig, Rosa Maria. "Maximal rank curves and singular points of the Hilbert scheme." Compositio Mathematica 77.3 (1991): 269-291. <http://eudml.org/doc/90074>.

@article{Bolondi1991,
author = {Bolondi, Giorgio, Kleppe, Jan O., Miro-Roig, Rosa Maria},
journal = {Compositio Mathematica},
keywords = {linkage; Hilbert scheme; maximal rank; obstructed curves; liaison; natural cohomology},
language = {eng},
number = {3},
pages = {269-291},
publisher = {Kluwer Academic Publishers},
title = {Maximal rank curves and singular points of the Hilbert scheme},
url = {http://eudml.org/doc/90074},
volume = {77},
year = {1991},
}

TY - JOUR
AU - Bolondi, Giorgio
AU - Kleppe, Jan O.
AU - Miro-Roig, Rosa Maria
TI - Maximal rank curves and singular points of the Hilbert scheme
JO - Compositio Mathematica
PY - 1991
PB - Kluwer Academic Publishers
VL - 77
IS - 3
SP - 269
EP - 291
LA - eng
KW - linkage; Hilbert scheme; maximal rank; obstructed curves; liaison; natural cohomology
UR - http://eudml.org/doc/90074
ER -

References

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  11. [K3] J.O. Kleppe: Non-reduced components of the Hilbert scheme of smooth space curves, in Space Curves, Proceedings Rocca di Papa1985, Springer Lecture Notes in Math.1266. Springer1987. Zbl0631.14022MR908714
  12. [K4] J.O. Kleppe: Liaison of families of subschemes , in Pn, In: Algebraic Curves and Projective Geometry, Proceedings Trento1988, Springer Lecture Notes in Math.1389, 128-173. Springer, 1989. Zbl0697.14003MR1023396
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  14. [PS] Chr. Peskine and L. Szpiro: Liaison des variétés algébriques, Inv. Math.26 (1974), 271-302. Zbl0298.14022MR364271
  15. [PiS] R. Piene and D. Schlessinger: On the Hilbert scheme compactification of the space of twisted cubics, Amer. J. Math.107 (1985), 761-774. Zbl0589.14009MR796901
  16. [S] E. Sernesi: Un esempio di curva ostruita in P3. Sem. di variabili Complesse, Bologna (1981), 223-231. MR770798
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  18. [W] Ch. Walter: Some examples of obstructed curves in P3. 

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