Linear Systems on Fano Threefolds. I

References

• Angehrn , U. and Siu , Y.-T. 1995 . Effective freeness and point separation for adjoint bundles . Inv. Math. , 122 : 291 – 308 .
   Google Scholar
• Bauer , Th. 1999 . Seshadri constants on algebraic surfaces . Math. Ann. , 313 : 547 – 583 . [CROSSREF]
   Google Scholar
• Beltrametti , M. and Sommese , A. 1995 . The adjuction theory of complex projective varieties . de Gruyter Expositions in Mathematics , 16
   Google Scholar
• Catanese , F. , Franciosi , M. , Hulek , K. and Reid , M. (1999). Embeddings of curves and surfaces. Nagoya Mathematical Journal 154:185–220
   Google Scholar
• Demailly , J.-P. 1992 . Singular Hermitian Metrics on Positive Line Bundles , Lecture Notes in Mathematics 1507 87 – 104 . Berlin : Springer .
   Google Scholar
• Ein , L. and Lazarsfeld , R. 1993a . Seshadri constants on smooth surfaces . Astérisque , 218 : 177 – 186 .
   Google Scholar
• Ein , L. and Lazarsfeld , R. 1993b . Global generation of pluricanonical and adjoint linear series on smooth projective threefold . J. Amer. Math. Soc. , 6 : 875 – 903 .
   Google Scholar
• Ein , L. , Küchle , O. and Lazarsfeld , R. 1995 . Local positivity of ample line bundles . J. Diff. Geom. , 42 : 193 – 219 .
   Google Scholar
• Fujita , T. 1988 . Birational geometry of algebraic varieties: Open problem. The 23rd International Symposium of the Division of Mathematics of the Taniguchi Foundation. Katata, pp. 42–45
   Google Scholar
• Fujita , T. 1990 . Classification Theories of Polarized Varieties , LMS Lecture Note Series, 155 Cambridge University Press .
   Google Scholar
• Fujita , T. Remarks on Ein-Lazarsfeld criterion of spannedness of adjoint bundles of polarized threefold, alg-geom eprint 9311013
   Google Scholar
• Helmke , S. 1997 . On Fujita's conjecture . Duke Math. J. , 88 : 201 – 216 . [CROSSREF]
   Google Scholar
• Helmke , S. 1999 . On global generation of adjoint linear systems . Math. Ann. , 313 : 635 – 652 . [CROSSREF]
   Google Scholar
• Helmke , S. 2000 . ICTP lecture note
   Google Scholar
• Hwang , J.-M. and Keum , J. 2003 . Seshadri-exceptional foliations . Math. Ann. , 325 : 287 – 297 . [CROSSREF]
   Google Scholar
• Iskovskikh , V. A. 1977 . Fano 3-folds I . Math. USSR-Izv , 11 : 485 – 527 .
   Google Scholar
• Iskovskikh , V. A. and Shokurov , V. V. 1979 . Biregular Theory of Fano 3-Folds , LNM 732 171 – 182 . Berlin : Springer .
   Google Scholar
• Kawamata , Y. 1997 . On Fujita's freeness conjecture for 3-folds and 4-folds . Math. Ann. , 308 : 491 – 505 . [CROSSREF]
   Google Scholar
• Kollár , J. 1993 . Effective base-point freeness . Math. Ann. , 296 : 595 – 605 .
   Google Scholar
• Lee , S. 1999 . Remarks on the pluricanonical and the adjoint linear systems on projetive threefolds . Comm. Alg. , 27 : 4459 – 4476 .
   Google Scholar
• Lee , S. 2003 . Seshadri constants and Fano manifolds . Math. Z. , 245 : 645 – 656 . [CROSSREF]
   Google Scholar
• Lee , S. Linear systems on Fano threefolds II. To appear in Math. Z
   Google Scholar
• Mori , S. and Mukai , S. 1982 . On Fano threefolds with B 2(X) ≥ 2 . Adv. Studies Pure Math. , 1 : 101 – 130 .
   Google Scholar
• Nakamaye , M. 1996 . Seshadri constans on Abelian varieties . Amer. J. Math. , 118 : 621 – 635 .
   Google Scholar
• Reider , I. 1988 . Vector bundles of rank 2 and linear systems on algebraic surfaces . Ann. Math. , 127 : 309 – 316 .
   Google Scholar
• Saint-Donat , B. 1974 . Projective models of K3-surfaces . Amer. J. Math. , 96 : 602 – 639 .
   Google Scholar
• Shokurov , V. V. 1979 . Smoothness of a general anticanonical divisor on a Fano variety (Russian) . Izv. Akad. Nauk SSSR Ser. Mat. , 43 : 430 – 441 .
   Google Scholar
• #Communicated by L. Ein.
   Google Scholar