Pacific Journal of Mathematics

Generic properties of the adjuction mapping for singular surfaces and applications.

Marco Andreatta, Mauro Beltrametti, and Andrew J. Sommese
Source: Pacific J. Math. Volume 142, Number 1 (1990), 1-15.
First Page: Show Hide
Primary Subjects: 14C20
Secondary Subjects: 14J25
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102646458
Zentralblatt MATH identifier: 0742.14005
Mathematical Reviews number (MathSciNet): MR1038725

References

[A-Sl] M. Andreatta and A. J. Sommese, Generically ample divisors on normal Gorenstein surfaces, to appear in Contemporary Mathematics, Proc. Iowa City Singularities Conference, 1986.
Mathematical Reviews (MathSciNet): MR91i:14029
Zentralblatt MATH: 0687.14005
[A-S2] M. Andreatta and A. J. Sommese, On the adjunction mapping for singular projective varieties, Forum Math. J., 1 (1989), 143-152.
Mathematical Reviews (MathSciNet): MR90c:14026
Zentralblatt MATH: 0667.14022
[B] A. Beauville, Letter on Reider's method, on March 17th 1986.
[E] L. Ein, Surfaces with a hyperelliptic hyperplane section, Duke Math. J., 50 (1983), 685-694.
Mathematical Reviews (MathSciNet): MR85b:14044
Zentralblatt MATH: 0561.14014
[L-S] E. L. Livorni and A. J. Sommese, ThreefoldsofNon NegativeKodaira Dimen- sion with Sectional Genus Less than or Equal to 15, Annali Scuola Normale Superiore, Pisa, XIII, 4 (1986), 537-557.
Mathematical Reviews (MathSciNet): MR88m:14032
[R] I. Reider, Vectorbundles of rank two and linear systems on algebraic surfaces, Ann. of Math., 127 (1988), 309-316.
Mathematical Reviews (MathSciNet): MR89e:14038
Zentralblatt MATH: 0663.14010
[Se] F. Serrano, The adjunction mapping and hyperellipticdivisors on a surface,J. Reine Angew. Math., 381 (1987), 50-109.
Mathematical Reviews (MathSciNet): MR89c:14054
[SI] A. J. Sommese, Hyperplane sections of projective surfaces I--The Adjunction Mapping, Duke Math. J., 46 (1979), 377-401.
Mathematical Reviews (MathSciNet): MR82f:14033
Zentralblatt MATH: 0415.14019
[S2] A. J. Sommese, Hyperplane Sections, Proceedings of the Algebraic Geometry Confer- ence, University of Illinois at Chicago Circle, 1980, Lect. Notes in Math., 862, Springer (1981).
Mathematical Reviews (MathSciNet): MR83i:14009
[S3] A. J. Sommese, On the minimality of hyperplane sections of projective threefolds. J. Reine Angew. Math., 329 (1981), 16-41.
Mathematical Reviews (MathSciNet): MR83j:14038
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[S4] A. J. Sommese, Ample divisors on Gorenstein varieties, Proceedings on Complex Ge- ometry Conference, Nancy 1985, Revue de nstitut E. Cartan, 10 (1986).
Mathematical Reviews (MathSciNet): MR89c:14006
Zentralblatt MATH: 0646.14007
[S5] A. J. Sommese, On the Adjunction TheoreticStructure of Projective Varieties,Complex Analysis and Algebraic Geometry, Proceedings, Gttingen 1985, Springer Lecture Notes 1194, (1986), 175-213.
Mathematical Reviews (MathSciNet): MR87m:14049
[S-V] A. J. Sommese and A. Van de Ven, On the adjunction mapping, Math. Ann., 278(1987), 593-603.
Mathematical Reviews (MathSciNet): MR88j:14011
Zentralblatt MATH: 0655.14001
[V] A. Van de Ven, On the 2-connectedness of very ample divisors on a surface, Duke Math. J., 46 (1979), 403-407.
Mathematical Reviews (MathSciNet): MR82f:14032
Zentralblatt MATH: 0458.14003

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