Base curves of multicanonical systems on threefolds

P. M. H. Wilson

Compositio Mathematica (1984)

  • Volume: 52, Issue: 1, page 99-113
  • ISSN: 0010-437X

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Wilson, P. M. H.. "Base curves of multicanonical systems on threefolds." Compositio Mathematica 52.1 (1984): 99-113. <http://eudml.org/doc/89655>.

@article{Wilson1984,
author = {Wilson, P. M. H.},
journal = {Compositio Mathematica},
keywords = {base curves of multicanonical systems; normal bundles of base curves; configurations of curves; threefold of general type},
language = {eng},
number = {1},
pages = {99-113},
publisher = {Martinus Nijhoff Publishers},
title = {Base curves of multicanonical systems on threefolds},
url = {http://eudml.org/doc/89655},
volume = {52},
year = {1984},
}

TY - JOUR
AU - Wilson, P. M. H.
TI - Base curves of multicanonical systems on threefolds
JO - Compositio Mathematica
PY - 1984
PB - Martinus Nijhoff Publishers
VL - 52
IS - 1
SP - 99
EP - 113
LA - eng
KW - base curves of multicanonical systems; normal bundles of base curves; configurations of curves; threefold of general type
UR - http://eudml.org/doc/89655
ER -

References

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  3. [3] R. Hartshorne: Algebraic Geometry. Graduate Texts in Mathematics52. Berlin, Heidelberg, New York: Springer (1977). Zbl0367.14001MR463157
  4. [4] Y. Kawamata: A Generalization of Kodaira-Ramanujam's Vanishing Theorem: Math. Ann.261 (1982) 43-46. Zbl0476.14007MR675204
  5. [5] S. Mori: Projective manifolds with ample tangent bundles. Ann. Math.110 (1979) 593-606. Zbl0423.14006MR554387
  6. [6] S. Mori: Threefolds whose canonical bundles are not numerically effective. Proc. Nat. Acad. Sci. USA77 (1980) 3125-6. Zbl0434.14022MR574383
  7. [7] H. Pinkham: Private communication. 
  8. [8] H. Pinkham: Factorization of birational maps in dimension 3. Lecture given at the A.M.S. Summer Institute on Singularities, Arcata, 1981 (to appear). Zbl0544.14005MR713260
  9. [9] M. Reid: Canonical threefolds. In: A. Beauville (ed.), Journées de Géométrie Algébrique, Juillet 1979, Sijthoff & Noordhoff (1980). Zbl0451.14014MR605348
  10. [10] M. Reid: Minimal models of canonical threefolds. To appear in: S. Iitaka and H. Morikawa (eds.), Symposia in Math.1, Kinokuniya andNorth-Holland (1982). MR715649
  11. [11] E. Viehweg: Vanishing theorems. J. reine angew. Math.335 (1982) 1-8. Zbl0485.32019MR667459
  12. [12] P.M.H. Wilson: On the canonical ring of algebraic varieties. Comp. Math.43 (1981) 365-385. Zbl0459.14006MR632435
  13. [13] O. Zariski: Resolution of the singularities of algebraic three dimensional varieties. Ann. Math.45 (1944) 472-547. Zbl0063.08361
  14. [14] O. Zariski: The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface. Ann. Math.76 (1972) 560-615. Zbl0124.37001MR141668

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