A bound for the degree of smooth surfaces in P 4 not of general type
Compositio Mathematica, Volume 93 (1994) no. 2, p. 211-229
@article{CM_1994__93_2_211_0,
     author = {Braun, Robert and Fl\o ystad, Gunnar},
     title = {A bound for the degree of smooth surfaces in $P^4$ not of general type},
     journal = {Compositio Mathematica},
     publisher = {Kluwer Academic Publishers},
     volume = {93},
     number = {2},
     year = {1994},
     pages = {211-229},
     zbl = {0823.14021},
     mrnumber = {1287697},
     language = {en},
     url = {http://www.numdam.org/item/CM_1994__93_2_211_0}
}
Braun, Robert; Fløystad, Gunnar. A bound for the degree of smooth surfaces in $P^4$ not of general type. Compositio Mathematica, Volume 93 (1994) no. 2, pp. 211-229. http://www.numdam.org/item/CM_1994__93_2_211_0/

[1] D. Bayer and M. Stillman, A theorem on refining division orders by the reverse lexicographic order, Duke Mathematical Journal, 55 (1987), 321-328. | MR 894583 | Zbl 0638.06003

[2] D. Bayer and M. Stillman, A criterion for detecting m-regularity, Inventiones Mathematicae, 87 (1987), 1-11. | MR 862710 | Zbl 0625.13003

[3] G. Ellingsrud and C. Peskine, Sur les surfaces lisses de P4, Inventiones Mathematicae, 95 (1989), 1-12. | MR 969410 | Zbl 0676.14009

[4] M. Green, Notes.

[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. | MR 527229 | Zbl 0412.14011

[6] R. Hartshorne, "Algebraic Geometry", Springer-Verlag, New York 1977. | MR 463157 | Zbl 0367.14001

[7] L. Koelblen, Surfaces de P3 tracées sur une hypersurfaces cubique, Journal für die Reine und Angewandte Mathematik, 433 (1992), 113-141. | MR 1191602 | Zbl 0753.14033

[8] R. Strano, On generalized Laudals lemma, Complex projective geometry, London Mathematical Society Lecture Note Series, 179 (1992), 284 - 293. | MR 1201390 | Zbl 0789.14032

[9] M. Stillmann, Methods for computing in algebraic geometry and commutative algebra, Acta Applicandae Mathematicae, 21 (1990), 77-103. | MR 1085774 | Zbl 0709.13014