Classification of projective surfaces with small sectional genus : char p>0
Andreatta, M. ; Ballico, E.
Rendiconti del Seminario Matematico della Università di Padova, Tome 84 (1990), p. 175-193 / Harvested from Numdam
Publié le : 1990-01-01
@article{RSMUP_1990__84__175_0,
     author = {Andreatta, Marco and Ballico, Edoardo},
     title = {Classification of projective surfaces with small sectional genus : char $p > 0$},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {84},
     year = {1990},
     pages = {175-193},
     zbl = {0748.14013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1990__84__175_0}
}
Andreatta, M.; Ballico, E. Classification of projective surfaces with small sectional genus : char $p > 0$. Rendiconti del Seminario Matematico della Università di Padova, Tome 84 (1990) pp. 175-193. http://gdmltest.u-ga.fr/item/RSMUP_1990__84__175_0/

[A-B] M. Andreatta - E. Ballico, On the adjunction process over a surface in char. p, Manuscripta Math., 62 (1988), pp. 227-244. | MR 963008 | Zbl 0698.14034

[Bo] E. Bombieri, Methods of algebraic geometry in char. p and their applications, on «Algebraic Surfaces C.I.M.E. », Cortona (1977), pp. 57-96.

[Ca] F. Catanese, Pluricanonical Gorenstein curves, Enumerative Geometry and Classical Algebraic Geometry, Progr. in Math., Vol. 24, Birkhäuser (1982), pp. 51-95. | MR 685764 | Zbl 0518.14017

[De] M. Demazure, Surfaces de Del Pezzo, on « Seminaire sur les Singularitès des Surfaces », Lecture Notes in Mathematics, Vol. 777, Spinger-Verlag (1980), pp. 21-70. | Numdam | MR 579026 | Zbl 0444.14024

[Ek] T. Ekedal, Canonical models of surfaces of general type in positive characteristic, I.H.E.S. Publ. Mathématiques (1988), pp. 97-144. | Numdam | MR 972344 | Zbl 0674.14028

[Ja] J.P. Jouanolou, Théorèmes de Bertini et Applications, Progr. in Math., Vol. 42, Birkhäuser (1983). | MR 725671 | Zbl 0519.14002

[Ha] R. Hartshorne, Algebraic Geometry, Springer-Verlag, New York (1977). | MR 463157 | Zbl 0367.14001

[Io] P. Ionescu, Embedded projective varieties of small invariants, Proc. of the Algebraic Geometry Conf., Bucharest (1982), pp. 142-186. | MR 749942 | Zbl 0542.14024

[La] A. Lanteri, Sulle superfici di grado 7, Istituto Lombardo (Rend. Sc.)m A 115 (1987), pp. 171-189.

[Li1] L. Livorni, Classification of algebraic surfaces with sectional genus less than or equal to six. I: rational surfaces, Pac. Journal of Math., Vol. 113 (1984), pp. 93-114. | MR 745598 | Zbl 0573.14013

[Li2] L. Livorni, Classification of algebraic non ruled surfaces with sectional genus less than or equal to six, Nagoya Math. J., Vol. 100 (1985), pp. 1-9. | MR 818155 | Zbl 0594.14028

[Ok] C. Okonek, Über 2-codimensionale Untermannigfaltigkeiten vom Grad 7 im P4 und P5, Math. Z., 187 (1984), pp. 209-219. | MR 753433 | Zbl 0575.14030

[Ra] J. Rathmann, The uniform position principle for curves in char p, Math. Ann., 276 (1987), pp. 565-579. | MR 879536 | Zbl 0595.14041

[So1] A.J. Sommese, Hyperplane sections of projective surfaces. I: The adjunction mapping, Duke Math. J., 46 (1979), pp. 377-401. | MR 534057 | Zbl 0415.14019

[So2] A.J. Sommese, Ample divisors on Gorenstein varieties, Revue de l'Institute E. Cartan, Journées Complexe, Nancy, 10 (1986). | MR 933787 | Zbl 0646.14007

[S-VdV] A.J. Sommese - A. Van De Ven, On the Adjunction Mapping, Math. Ann., 278 (1987), pp. 593-603. | MR 909240 | Zbl 0655.14001

[VdV] A. Van De Ven, On the 2 connectedness of very ample divisors on a surface, Duke Math. J., 46 (1979), pp. 403-407. | MR 534058 | Zbl 0458.14003

[Da] O. Zariski, Algebraic surfaces, Springer-Verlag, Berlin-Heidelberg-New York (1971). | MR 469915 | Zbl 0219.14020