A note on imperfect monomial curves in P 3

Eduard Boďa; Štefan Solčan

Mathematica Slovaca (1987)

  • Volume: 37, Issue: 3, page 299-303
  • ISSN: 0232-0525

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Boďa, Eduard, and Solčan, Štefan. "A note on imperfect monomial curves in $P^3$." Mathematica Slovaca 37.3 (1987): 299-303. <http://eudml.org/doc/31829>.

@article{Boďa1987,
author = {Boďa, Eduard, Solčan, Štefan},
journal = {Mathematica Slovaca},
keywords = {multiplicity; monomial curves; set-theoretic complete intersection},
language = {eng},
number = {3},
pages = {299-303},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {A note on imperfect monomial curves in $P^3$},
url = {http://eudml.org/doc/31829},
volume = {37},
year = {1987},
}

TY - JOUR
AU - Boďa, Eduard
AU - Solčan, Štefan
TI - A note on imperfect monomial curves in $P^3$
JO - Mathematica Slovaca
PY - 1987
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 37
IS - 3
SP - 299
EP - 303
LA - eng
KW - multiplicity; monomial curves; set-theoretic complete intersection
UR - http://eudml.org/doc/31829
ER -

References

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  1. ACHILLES R., VOGEL W., Übeг vollständige Durchschnitte in lokalen Ringen, Math. Nachr. 89, 1979, 285-298. (1979) MR0546888
  2. BOĎA E., VOGEL W., On systems of parameteгs, local inteгsection multiplicity and Bezouťs theorem, Proceedings of the Ameг. Math. Society, Vol. 78, No. 1, 1980, 1-7. (1980) MR0548071
  3. BRESINSKY H., SCHENZEL P., VOGEL W., On liaison, arithmetical Buchsbaum curves and monomial cuгves in P3, Aaгhus University, Dep. of Math., Pгeprint Series 1980/81, No. 6. (1980) 
  4. BRESINSKY H., STÜCKRAD J., RENSCHUCH B., Mengentheoгetisch vollständige Durchschnitte veгschiedeneг rationaleг Raumkurven im P3, Math. Nachr. 104 (1981), 147-169. (1981) MR0657889
  5. GRÖBNER W., Algebгaische Geometrie II, Bibliografisches Institut, Hochschultaschenbücheг-Veгlag, Mannheim 1970. (1970) 
  6. HARTSHORNE R., Complete intersections in chaгacteristic p > 0, Ameг. J. Math. 101 (1979), 380-383. (1979) MR0527998
  7. MATSUMURA H., Commutative Algebra, W. A. Benjamin, N. York, 1970. (1970) Zbl0211.06501MR0266911
  8. NORTHCOTT D., REES D., Reductions of ideals in local гings, Pгoc. of the Cambridge Phil. Soc., Vol. 50, 1954, 145-158. (1954) MR0059889
  9. RENSCHUCH B., Elementaгe und pгaktische Idealtheorie, VEB Deutscheг Verlag der Wissenschaften, Berlin, 1976. (1976) MR0444631
  10. SOLČAN Š., Zuг mengentheoretische Darstellung gewisser Primideale, Math. Slovaca, 35, 1985, 199-210. (1985) MR0795016
  11. STÜCKRAD J., VOGEL W., Toward a theoгy of Buchsbaum singularities, Ameг. J. Math. 100, 1978, 727-746. (1978) MR0509072
  12. STÜCKRAD J., VOGEL W., On the number of equations defining an algebraic set of zeros in n-space, In: Seminar D. Eisenbud-B. Singh-W. Vogel, Teubner-Texte zur Mathematik Band 48, Leipzig, 1982, 88-107. (1982) Zbl0505.14038MR0686462
  13. RENSCHUCH B., STÜCKRAD J., VOGEL W., Weitere Bemerkungen zu einem Problem der Schnitttheorie und über ein Mass von A, Seidenbeгg für die Imperfektheit. J. of Algebra 37, No. 3, 1975, 447-471. (1975) MR0424799
  14. ZARISKI O., SAMUEL P., Commutative Algebra, Vol. II, Van Nostrad, Princeton, 1960. (1960) Zbl0121.27801MR0120249

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