Vanishing criteria and the Picard group for projective varieties of low codimension

Robert Speiser

Compositio Mathematica (1980)

  • Volume: 42, Issue: 1, page 13-21
  • ISSN: 0010-437X

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Speiser, Robert. "Vanishing criteria and the Picard group for projective varieties of low codimension." Compositio Mathematica 42.1 (1980): 13-21. <http://eudml.org/doc/89468>.

@article{Speiser1980,
author = {Speiser, Robert},
journal = {Compositio Mathematica},
keywords = {Picard group; cohomological dimension},
language = {eng},
number = {1},
pages = {13-21},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Vanishing criteria and the Picard group for projective varieties of low codimension},
url = {http://eudml.org/doc/89468},
volume = {42},
year = {1980},
}

TY - JOUR
AU - Speiser, Robert
TI - Vanishing criteria and the Picard group for projective varieties of low codimension
JO - Compositio Mathematica
PY - 1980
PB - Sijthoff et Noordhoff International Publishers
VL - 42
IS - 1
SP - 13
EP - 21
LA - eng
KW - Picard group; cohomological dimension
UR - http://eudml.org/doc/89468
ER -

References

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  1. [1] W. Barth: Transplanting Cohomology Classes on Complex Projective Space. Am. J. Math., 92 (1970) 951-967. Zbl0206.50001MR287032
  2. [2] R. Hartshorne: Ample Subvarieties of Algebraic Varieties. Springer Lecture Notes in Mathematics, Nr. 156 (1970). Zbl0208.48901MR282977
  3. [3] R. Hartshorne: Cohomological Dimension of Algebraic Varieties. Ann. of Math., 88 (1968) 111-125. Zbl0169.23302MR232780
  4. [4] R. Hartshorne: Varieties of Small Codimension in Projective Space. Bull. Ann. Math. Soc., 80 (1974) 1017-1032. Zbl0304.14005MR384816
  5. [5] R. Hartshorne and R. Speiser: Local Cohomological Dimension in Characteristic p. Ann. of Math., 105 (1977) 45-79. Zbl0362.14002MR441962
  6. [6] W. Fulton and J. Hansen: A Connectedness Theorem for Projective Varieties, with Applications to Intersections and Singularities of Mattings. Annals of Math. (to appear). Zbl0389.14002
  7. [7] S. Kleiman: On the Vanishing of Hn(X, F) on an n-Dimensional Variety. Proc. Am. Math. Soc.18 (1967) 940-944. Zbl0165.24001MR213369
  8. [8] A. Ogus: On the Formal Neighborhood of a Subvariety of Projective Space. Am. J. Math., 97 (1975) 1085-1107. Zbl0331.14002MR401764
  9. [9] A. Ogus: Local Cohomological Dimension of Algebraic Varieties. Ann. of Math., 98 (1973) 327-365. Zbl0308.14003MR506248
  10. [10] A. Ogus: Cohomological Dimension of Noncomplete Hypersurfaces. Inv. Math., 21 (1973) 143-150. Zbl0271.14007
  11. [11] A. Ogus: Projective Varieties of Low Codimension in Characteristic p &gt; 0. Trans. Am. Math. Soc., 240£ (1978) 329-343. Zbl0405.14024MR491703
  12. [12] A. Ogus: Extending Meromorphic Functions on Pm x Pn. J. Für die Reine und Ang. Math., 305 (1979) 126-133. Zbl0392.14001MR518855
  13. [13] R. Hartshorne: Algebraic Dhe Rham Cohomology, Publ. Math. IHES, No. 45 (1976) 9-99. Zbl0237.14008

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