Sharp Matsusaka-type Theorems on Surfaces

  title={Sharp Matsusaka-type Theorems on Surfaces},
  author={A. J. SommeseAbstractLet}
  • A. J. SommeseAbstractLet
Let L be an ample line bundle on a smooth surface S. We give sharp lower bounds for tL to be k-jet ample based on the nefvalue of the pair (S; L). We also give sharp lower bounds for tL to be k-spanned. 

From This Paper

Topics from this paper.
2 Citations
13 References
Similar Papers


Publications citing this paper.
Showing 1-2 of 2 extracted citations


Publications referenced by this paper.
Showing 1-10 of 13 references

\A Matsusaka-type theorem for surfaces

  • G Fernn, Del Busto
  • J. Algebraic Geometry
  • 1996

The Adjunction Theory of Complex Projective Varieties

  • M C Beltrametti, A J Sommese
  • Expositions in Mathematics, 16, W. de Gruyter
  • 1995

Sommese, \On k-jet ampleness

  • M C Beltrametti
  • The University Series in Mathematics
  • 1993

Sommese, \On k-spannedness for projective surfaces Algebraic Geometry

  • M C Beltrametti
  • Proceedings L'Aquila
  • 1988

Sommese, \Zero cycles and k-th order embeddings of smooth projective surfaces Projective Surfaces and their Classiication

  • M C Beltrametti
  • Proceedings Cortona
  • 1988

Sommese, \On Reider's method and higher order embeddings Abridged version by same title, Duke Math

  • M C Beltrametti, P Francia
  • J
  • 1987

\About the adjunction process for polarized algebraic surfaces

  • A Lanteri, M Palleschi
  • J. Reine Angew. Math
  • 1984

\The birational theory of hyperplane sections of projective threefolds

  • J Sommese
  • \The birational theory of hyperplane sections of…
  • 1981

\The enumerative theory of singularities

  • L Kleiman
  • Real and Complex Singularities Holme, 297{396…
  • 1976

Similar Papers

Loading similar papers…