Sunto
Un fibrato lineare olomorfo su una superficie algebrica proiettiva complessa non singolare S è detto k-spanned se le sue sezioni separano opportuni 0-cicli di S di lunghezza k + 1 — da (k + 1)-uple di punti distinti sino a getti di ordine k — e forniscono pertanto una immersione proiettiva di S di ordine superiore. Si fornisce un contributo alla classificazione proiettiva delle superfici determinando quelle di genere sezionale 6 immerse da un fibrato 2-spanned e quelle di genere sezionale 7 immerse da un fibrato 3-spanned.
Article PDF
Avoid common mistakes on your manuscript.
References
Ballico E.,On k-spanned projective surfaces, Algebraic Geometry, Proc. L'Aquila, 1988, Lect. Notes Math.,1417, Springer (1989), p. 23.
Ballico E.,A characterization of the Veronese surface, Proc. Amer. Math. Soc.,105 (1989), pp. 531–534.
Beltrametti M. -Sommese A. J.,On k-spannedness for projective surfaces, Algebraic Geometry, Proc. L'Aquila, 1988, Lect. Notes Math.,1417, Springer (1989), pp. 24–51.
Beltrametti M. -Sommese A. J.,0-cycles and k-th order embeddings of smooth projective surfaces, Problems in the Theory of Surfaces, Proc. Cortona, 1988, to appear.
Beltrametti M. -Francia P. -Sommese A. J.,On Reider's method and higher order embeddings, Duke Math. J.,58 (1989), pp. 425–439.
Griffiths Ph. -Harris J.,Principles of Algebraic Geometry, J. Wiley & Sons, New York (1978).
Harris J.,A bound on the geometric genus of projective varieties, Ann. Sc. Norm. Sup. Pisa, (4),8 (1981), pp. 35–68.
Hartshorne R.,Algebraic Geometry, Springer-Verlag, Berlin, New York (1977).
Lanteri A.,On the existence of scrolls in P 4, Acc. Naz. Lincei, Rend. Cl. Sc. Fis. Mat. Nat. (8),69 (1980), pp. 223–227.
Lanteri A. -Palleschi M.,On the adjoint system to a very ample divisor on a surface and connected inequalities, II, Acc. Naz. Lincei, Rend. Cl. Sc. Fis. Mat. Nat. (8),71 (1981), pp. 166–175.
Livorni L. E.,Classification of algebraic surfaces with sectional genus less than or equal to six. - I: Rational surfaces, Pac. J. Math.,113 (1984), pp. 93–114.
Livorni L. E.,On the existence of some surfaces, Algebraic Geometry, Proc. L'Aquila, 1988, Lect. Notes Math.,1417, Springer (1989), pp. 155–179.
Sommese A. J.,Hyperplane sections of projective surfaces. -I: The adjunction mapping, Duke Math. J.,46 (1979), pp. 377–401.
Sommese A. J. -Van de Ven A.,On the adjunction mapping, Math. Ann.,278 (1987), pp. 593–603.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Lanteri, A. 2-Spanned surfaces of sectional genus six. Annali di Matematica pura ed applicata 165, 197–216 (1993). https://doi.org/10.1007/BF01765849
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01765849