Cohomology of non-complete algebraic varieties

Robin Hartshorne

Compositio Mathematica (1971)

  • Volume: 23, Issue: 3, page 257-264
  • ISSN: 0010-437X

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Hartshorne, Robin. "Cohomology of non-complete algebraic varieties." Compositio Mathematica 23.3 (1971): 257-264. <http://eudml.org/doc/89088>.

@article{Hartshorne1971,
author = {Hartshorne, Robin},
journal = {Compositio Mathematica},
language = {eng},
number = {3},
pages = {257-264},
publisher = {Wolters-Noordhoff Publishing},
title = {Cohomology of non-complete algebraic varieties},
url = {http://eudml.org/doc/89088},
volume = {23},
year = {1971},
}

TY - JOUR
AU - Hartshorne, Robin
TI - Cohomology of non-complete algebraic varieties
JO - Compositio Mathematica
PY - 1971
PB - Wolters-Noordhoff Publishing
VL - 23
IS - 3
SP - 257
EP - 264
LA - eng
UR - http://eudml.org/doc/89088
ER -

References

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  1. W. Barth [1] Transplanting cohomology classes in complex-projective space. Amer. J. Math.92 (1970), 951-967. Zbl0206.50001MR287032
  2. A. Grothendieck [2] Cohomologie locale des faisceaux cohérents et théorèmes de Lefschetz locaux et globaux (SGA 2). North-Holland (1968). Zbl0197.47202MR476737
  3. R. Hartshorne [3] Cohomological dimension of algebraic varieties. Annals of Math.88 (1968), 403-450. Zbl0169.23302MR232780
  4. R. Hartshorne [4] Ample subvarieties of algebraic varieties. Springer Lecture Notes156 (1970). Zbl0208.48901MR282977
  5. R. Hartshorne [5] Cohomological dimension of algebraic varieties, II. (In preparation). Zbl0169.23302
  6. H. Hironaka and H. Matsumura [6] Formal functions and formal embeddings. J. Math. Soc. Japan20 (1968), 52-82. Zbl0157.27701MR251043
  7. J.-P. Serre [7] Géométrie algébrique et géométrie analytique. Ann. Inst. Fourier6 (1956), 1-42. Zbl0075.30401MR82175
  8. Y.-T. Siu [8] Analytic sheaves of local cohomology. Bull. Amer. Math. Soc.75 (1969), 1011-1012. Zbl0182.11201MR271398
  9. R. Speiser [9 ] Cohomological dimension of abelian varieties, thesis, Cornell University (1970). Zbl0271.14009
  10. G. Trautmann [10] Ein Endlichkeitsatz in der analytischen Geometrie. Invent. math.8 (1969), 143-174. Zbl0175.37601MR251251

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