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Original Articles

SOME RESULTS OF REGULARITY FOR SEVERI VARIETIES OF PROJECTIVE SURFACES

Pages 2297-2311 | Received 01 Apr 1999, Published online: 16 Aug 2006

REFERENCES

  • Barth , W. , Peters , C. and Van de Ven , C. 1984 . Compact Complex Surfaces Berlin : Springer .
  • Bogomolov , F. 1979 . Holomorphic tensors and vector bundles on projective varieties . Math. USSR Isvestija , 13 : 499 – 555 .
  • Caporaso , L. and Harris , J. 1998 . Counting plane curves of any genus . Invent. Math. , 131 : 345 – 392 .
  • Chen , X. 1998 . Rational curves on K3 surfaces pre-print Alg. Geom. 9804075
  • Chiantini , L. and Ciliberto , C. 1998 . On the Severi varieties of surfaces in P 3 pre-print Alg. Geom. 9802009
  • Chiantini , L. and Lopez , A. F. Focal loci of families and the genus of curves on surfaces . Proc. Amer. Math. Soc , to appear in
  • Chiantini , L. and Sernesi , E. 1997 . Nodal curves on surfaces of general type . Math. Ann. , 307 : 41 – 56 .
  • Flamini , F. Families of nodal curves on projective surfaces , Ph.D thesis Rome, Consortium of Universita' di Roma “La Sapienza” and Terza Universita' di Roma “Roma Tre” . to appear
  • Greuel , G.-M. , Lossen , C. and Shustin , E. 1997 . Geometry of families of nodal curves on the blown-up projective plane . Trans. Amer. Math. Soc. , 350 ( 1 ) : 251 – 274 .
  • Greuel , G.-M. , Lossen , C. and Shustin , E. 1997 . New asymptotics in the geometry of equisingular families of curves . Internat. Math. Res. Notices , 13 : 595 – 611 .
  • Griffiths , P. and Harris , J. 1978 . Residues and 0-cycles on algebraic varieties . Ann. of Math. , 108 : 461 – 505 .
  • Harris , J. 1986 . On the Severi problem . Invent. Math. , 84 : 445 – 461 .
  • Hartshorne , R. 1970 . Ample Subvarieties of Algebraic varieties Vol. 20 , Berlin : Springer . LNM
  • Migliore , J. C. 1978 . Topics in the theory of liaison of space curves , Ph.D. thesis Providence : Brown University .
  • Reid , M. 1977 . “ Bogomolov's theorem c 2 1 ≤ 4c 2 ” . In Proc. Internat. Symposium on Alg. Geom. 633 – 643 . Kyoto
  • Reider , I. 1988 . Vector bundles of rank 2 and linear systems on algebraic surfaces . Ann. of Math. , 127 : 309 – 316 .
  • Sernesi , E. 1984 . On the existence of certain families of curves . Invent. Math. , 75 : 25 – 57 .
  • Severi , F. 1921 . Vorlesungen über algebraische Geometrie Leipzig : Teubner .

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