Constructing new ample divisors out of old ones
Paul Biran
Source: Duke Math. J. Volume 98, Number 1
(1999), 113-135.
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Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077228053
Mathematical Reviews number (MathSciNet): MR1687571
Zentralblatt MATH identifier: 0961.14005
Digital Object Identifier: doi:10.1215/S0012-7094-99-09803-4
References
[Ang] Flavio Angelini, Ample divisors on the blow up of $\bf P\sp 3$ at points, Manuscripta Math. 93 (1997), no. 1, 39–48.
Mathematical Reviews (MathSciNet): MR98d:14005
Zentralblatt MATH: 0906.14003
Digital Object Identifier: doi:10.1007/BF02677456
[AG] V. I. Arnold and A. B. Givental, “Symplectic geometry”, Dynamical Systems 6, Encyclopaedia of Math. Sci., vol. 4, Springer-Verlag, Berlin, 1990, pp. 1–136.
Zentralblatt MATH: 0778.00008
Mathematical Reviews (MathSciNet): MR1042758
[Bi1] P. Biran, Symplectic packing in dimension $4$, Geom. Funct. Anal. 7 (1997), no. 3, 420–437.
Mathematical Reviews (MathSciNet): MR98i:57057
Zentralblatt MATH: 0892.53022
Digital Object Identifier: doi:10.1007/s000390050014
[Bi2] P. Biran, A stability property of symplectic packing, preprint, 1998.
Mathematical Reviews (MathSciNet): MR1681101
Zentralblatt MATH: 0930.53052
Digital Object Identifier: doi:10.1007/s002220050306
[CiMi] Ciro Ciliberto and Rick Miranda, Degenerations of planar linear systems, J. Reine Angew. Math. 501 (1998), 191–220.
Mathematical Reviews (MathSciNet): MR2000m:14005
Zentralblatt MATH: 0943.14002
[Dem] Jean-Pierre Demailly, $L\sp 2$ vanishing theorems for positive line bundles and adjunction theory, Transcendental methods in algebraic geometry (Cetraro, 1994), Lecture Notes in Math., vol. 1646, Springer, Berlin, 1996, pp. 1–97.
Mathematical Reviews (MathSciNet): MR99k:32051
Zentralblatt MATH: 0883.14005
Digital Object Identifier: doi:10.1007/BFb0094302
[Dmz] M. Demazure, “Surfaces de del Pezzo II–V”, Séminaire sur les singularités de surfaces (1976–1977), Lecture Notes in Math., vol. 777, Springer-Verlag, Berlin, 1980, pp. 21–69.
Zentralblatt MATH: 0415.00010
[DoOr] Igor Dolgachev and David Ortland, Point sets in projective spaces and theta functions, Astérisque (1988), no. 165, 210 pp. (1989), Soc. Math. France, Montrouge.
Mathematical Reviews (MathSciNet): MR90i:14009
Zentralblatt MATH: 0685.14029
[EKL] Lawrence Ein, Oliver Küchle, and Robert Lazarsfeld, Local positivity of ample line bundles, J. Differential Geom. 42 (1995), no. 2, 193–219.
Mathematical Reviews (MathSciNet): MR96m:14007
Zentralblatt MATH: 0866.14004
Project Euclid: euclid.jdg/1214457231
[EL] Lawrence Ein and Robert Lazarsfeld, Seshadri constants on smooth surfaces, Astérisque (1993), no. 218, 177–186, in Journées de géométrie algébrique d'Orsay.
Mathematical Reviews (MathSciNet): MR95f:14031
Zentralblatt MATH: 0812.14027
[FM] R. Friedman and J. Morgan, On the diffeomorphism types of certain algebraic surfaces, I, J. Differential Geom. 27 (1988), 297–369.
Zentralblatt MATH: 0669.57016
Mathematical Reviews (MathSciNet): MR925124
Project Euclid: euclid.jdg/1214441784
[Go] Robert E. Gompf, A new construction of symplectic manifolds, Ann. of Math. (2) 142 (1995), no. 3, 527–595.
Mathematical Reviews (MathSciNet): MR96j:57025
Zentralblatt MATH: 0849.53027
Digital Object Identifier: doi:10.2307/2118554
JSTOR: links.jstor.org
[Ha1] Robin Hartshorne, Ample subvarieties of algebraic varieties, Notes written in collaboration with C. Musili. Lecture Notes in Mathematics, Vol. 156, Springer-Verlag, Berlin, 1970.
Mathematical Reviews (MathSciNet): MR44:211
Zentralblatt MATH: 0208.48901
[Ha2] Robin Hartshorne, Algebraic geometry, Springer-Verlag, New York, 1977, Grad. Texts in Math., 52.
Mathematical Reviews (MathSciNet): MR57:3116
Zentralblatt MATH: 0367.14001
[IrRo] Kenneth Ireland and Michael Rosen, A classical introduction to modern number theory, Graduate Texts in Mathematics, vol. 84, Springer-Verlag, New York, 1990, 2d ed.
Mathematical Reviews (MathSciNet): MR92e:11001
Zentralblatt MATH: 0712.11001
[Ku] Oliver Küchle, Ample line bundles on blown up surfaces, Math. Ann. 304 (1996), no. 1, 151–155.
Mathematical Reviews (MathSciNet): MR97a:14041
Zentralblatt MATH: 0834.14024
Digital Object Identifier: doi:10.1007/BF01446289
[Laz] Robert Lazarsfeld, Lengths of periods and Seshadri constants of abelian varieties, Math. Res. Lett. 3 (1996), no. 4, 439–447.
Mathematical Reviews (MathSciNet): MR98e:14044
Zentralblatt MATH: 0890.14025
[M] Dusa McDuff, Blow ups and symplectic embeddings in dimension $4$, Topology 30 (1991), no. 3, 409–421.
Mathematical Reviews (MathSciNet): MR92m:57039
Zentralblatt MATH: 0731.53035
Digital Object Identifier: doi:10.1016/0040-9383(91)90021-U
[MP] Dusa McDuff and Leonid Polterovich, Symplectic packings and algebraic geometry, Invent. Math. 115 (1994), no. 3, 405–434.
Mathematical Reviews (MathSciNet): MR95a:58042
Zentralblatt MATH: 0833.53028
Digital Object Identifier: doi:10.1007/BF01231766
[MS] Dusa McDuff and Dietmar Salamon, Introduction to symplectic topology, Oxford Mathematical Monographs, The Clarendon Press Oxford University Press, New York, 1995.
Mathematical Reviews (MathSciNet): MR97b:58062
Zentralblatt MATH: 0844.58029
[Nag] M. Nagata, Lectures on the fourteenth problem of Hilbert, Tata Institute of Fundamental Research, Bombay, 1965.
Mathematical Reviews (MathSciNet): MR35:6663
Zentralblatt MATH: 0182.54101
[NZ] Ivan Niven and Herbert S. Zuckerman, An introduction to the theory of numbers, John Wiley & Sons, New York-Chichester-Brisbane, 1980.
Mathematical Reviews (MathSciNet): MR81g:10001
Zentralblatt MATH: 0431.10001
[R] Z. Ran, Enumerative geometry of singular plane curves, Invent. Math. 97 (1989), no. 3, 447–465.
Mathematical Reviews (MathSciNet): MR90g:14039
Zentralblatt MATH: 0702.14040
Digital Object Identifier: doi:10.1007/BF01388886
[Sh] Eugenii Shustin, Gluing of singular and critical points, Topology 37 (1998), no. 1, 195–217.
Mathematical Reviews (MathSciNet): MR99f:14073
Zentralblatt MATH: 0905.14008
Digital Object Identifier: doi:10.1016/S0040-9383(97)00008-6
[ShTy] E. Shustin and I. Tyomkin, A note on Nagata's counterexample to Hilbert's fourteenth problem, preprint, 1994.
[VndP] A. J. van der Poorten, “An introduction to continued fractions”, Diophantine analysis, London Math. Soc. Lecture Note Ser., vol. 109, Cambridge Univ. Press, Cambridge, 1986, pp. 99–138.
Zentralblatt MATH: 0583.00005
Mathematical Reviews (MathSciNet): MR874117
[Vi] O. Ya. Viro, Gluing of plane real algebraic curves and constructions of curves of degrees $6$ and $7$, Topology (Leningrad, 1982), Lecture Notes in Math., vol. 1060, Springer, Berlin, 1984, pp. 187–200.
Mathematical Reviews (MathSciNet): MR87i:14029
Zentralblatt MATH: 0576.14031
[Xu1] Geng Xu, Curves in $\bf P\sp 2$ and symplectic packings, Math. Ann. 299 (1994), no. 4, 609–613.
Mathematical Reviews (MathSciNet): MR95f:14058
Zentralblatt MATH: 0805.53033
Digital Object Identifier: doi:10.1007/BF01459801
[Xu2] Geng Xu, Divisors on the blow-up of the projective plane, Manuscripta Math. 86 (1995), no. 2, 195–197.
Mathematical Reviews (MathSciNet): MR96c:14005
Zentralblatt MATH: 0836.14004
Digital Object Identifier: doi:10.1007/BF02567988
[Xu3] Geng Xu, Ample line bundles on smooth surfaces, J. Reine Angew. Math. 469 (1995), 199–209.
Mathematical Reviews (MathSciNet): MR96k:14003
Zentralblatt MATH: 0833.14028
Digital Object Identifier: doi:10.1515/crll.1995.469.199
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