A bound for the degree of smooth surfaces in P 4 not of general type

Robert Braun; Gunnar Fløystad

Compositio Mathematica (1994)

  • Volume: 93, Issue: 2, page 211-229
  • ISSN: 0010-437X

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Braun, Robert, and Fløystad, Gunnar. "A bound for the degree of smooth surfaces in $P^4$ not of general type." Compositio Mathematica 93.2 (1994): 211-229. <http://eudml.org/doc/90321>.

@article{Braun1994,
author = {Braun, Robert, Fløystad, Gunnar},
journal = {Compositio Mathematica},
keywords = {number of components of Hilbert scheme; non-general-type surfaces; initial ideals; codimension-two subvariety},
language = {eng},
number = {2},
pages = {211-229},
publisher = {Kluwer Academic Publishers},
title = {A bound for the degree of smooth surfaces in $P^4$ not of general type},
url = {http://eudml.org/doc/90321},
volume = {93},
year = {1994},
}

TY - JOUR
AU - Braun, Robert
AU - Fløystad, Gunnar
TI - A bound for the degree of smooth surfaces in $P^4$ not of general type
JO - Compositio Mathematica
PY - 1994
PB - Kluwer Academic Publishers
VL - 93
IS - 2
SP - 211
EP - 229
LA - eng
KW - number of components of Hilbert scheme; non-general-type surfaces; initial ideals; codimension-two subvariety
UR - http://eudml.org/doc/90321
ER -

References

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  1. [1] D. Bayer and M. Stillman, A theorem on refining division orders by the reverse lexicographic order, Duke Mathematical Journal, 55 (1987), 321-328. Zbl0638.06003MR894583
  2. [2] D. Bayer and M. Stillman, A criterion for detecting m-regularity, Inventiones Mathematicae, 87 (1987), 1-11. Zbl0625.13003MR862710
  3. [3] G. Ellingsrud and C. Peskine, Sur les surfaces lisses de P4, Inventiones Mathematicae, 95 (1989), 1-12. Zbl0676.14009MR969410
  4. [4] M. Green, Notes. 
  5. [5] L. Gruson and C. Peskine, Genres des courbes de l'espace projectif, Lecture notes in mathematics, Algebraic geometry, Tromso 1977, 687 (1977), 31-59. Zbl0412.14011MR527229
  6. [6] R. Hartshorne, "Algebraic Geometry", Springer-Verlag, New York1977. Zbl0367.14001MR463157
  7. [7] L. Koelblen, Surfaces de P3 tracées sur une hypersurfaces cubique, Journal für die Reine und Angewandte Mathematik, 433 (1992), 113-141. Zbl0753.14033MR1191602
  8. [8] R. Strano, On generalized Laudals lemma, Complex projective geometry, LondonMathematical Society Lecture Note Series, 179 (1992), 284 - 293. Zbl0789.14032MR1201390
  9. [9] M. Stillmann, Methods for computing in algebraic geometry and commutative algebra, Acta Applicandae Mathematicae, 21 (1990), 77-103. Zbl0709.13014MR1085774

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