Projective varieties with non-residually finite fundamental group

Domingo Toledo

Publications Mathématiques de l'IHÉS (1993)

  • Volume: 77, page 103-119
  • ISSN: 0073-8301

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Toledo, Domingo. "Projective varieties with non-residually finite fundamental group." Publications Mathématiques de l'IHÉS 77 (1993): 103-119. <http://eudml.org/doc/104086>.

@article{Toledo1993,
author = {Toledo, Domingo},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {residually finite fundamental groups; quotient of the three-ball},
language = {eng},
pages = {103-119},
publisher = {Institut des Hautes Études Scientifiques},
title = {Projective varieties with non-residually finite fundamental group},
url = {http://eudml.org/doc/104086},
volume = {77},
year = {1993},
}

TY - JOUR
AU - Toledo, Domingo
TI - Projective varieties with non-residually finite fundamental group
JO - Publications Mathématiques de l'IHÉS
PY - 1993
PB - Institut des Hautes Études Scientifiques
VL - 77
SP - 103
EP - 119
LA - eng
KW - residually finite fundamental groups; quotient of the three-ball
UR - http://eudml.org/doc/104086
ER -

References

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  1. [1] E. BALLICO, F. CATANESE, C. CILIBERTO (Eds.), Classification of Irregular Varieties, Lect. Notes in Math., 1515, Springer, 1970. 
  2. [2] A. BOREL, Compact Clifford-Klein forms of symmetric spaces, Topology, 2 (1968), 111-122. Zbl0116.38603MR26 #3823
  3. [3] A. BOREL, Introduction aux groupes arithmétiques, Paris, Hermann, 1969. Zbl0186.33202MR39 #5577
  4. [4] J. CARLSON and D. TOLEDO, Harmonic mappings of Kähler manifolds to locally symmetric spaces, Publ. Math. IHES, 69 (1989), 173-201. Zbl0695.58010MR91c:58032
  5. [5] P. DELIGNE, Extensions centrales non résiduellement finies de groupes arithmétiques, C. R. Acad. Sci. Paris, série A-B, 287 (1978), 203-208. Zbl0416.20042MR80g:20056
  6. [6] M. GORESKY and R. MACPHERSON, Stratified Morse Theory, Springer Verlag, 1988. Zbl0639.14012MR90d:57039
  7. [7] H. GRAUERT, Über Modifikationen und exzeptionnelle analytische Mengen, Math. Annalen, 146 (1962), 331-368. Zbl0178.42702MR25 #583
  8. [8] M. GROMOV, Sur le groupe fondamental d'une variété kählérienne, C. R. Acad. Sc. Paris, série 1, 308 (1980), 67-70. Zbl0661.53049
  9. [9] R. HARTSHORNE, Ample Subvarieties of Algebraic Varieties, Lect. Notes in Math. 156, Springer, 1970. Zbl0208.48901MR44 #211
  10. [10] F. HIRZEBRUCH, Automorphe Formen und der Satz von Riemann-Roch, Symposium Internacional de Topologia Algebraica, México, 1956, 129-144. Zbl0129.29801MR21 #2058
  11. [11] S. L. KLEIMAN, Towards a numerical theory of ampleness, Ann. of Math., 84 (1966), 293-344. Zbl0146.17001MR34 #5834
  12. [12] K. KODAIRA, On Kähler varieties of restricted type, Ann. of Math., 60 (1954), 28-48. Zbl0057.14102MR16,952b
  13. [13] A. I. MAL'CEV, On the faithful representation of infinite groups by matrices, Math. Sbornik, 9 (1940), 405-422 ; English translation, AMS Transl., 45 (1965), 1-18. Zbl0158.02905
  14. [14] G. A. MARGULIS, Finiteness of quotient groups of discrete subgroups, Func. Anal. Appl., 13 (1979), 178-187. Zbl0434.22013MR80k:22006
  15. [15] G. MESS, The Torelli group for genus 2 and 3 surfaces, Topology, 31 (1992), 775-790. Zbl0772.57025MR93k:57003
  16. [16] J. MILLSON, Real vector bundles with discrete structure group, Topology, 18 (1979), 83-89. Zbl0452.55014MR82i:55016
  17. [17] G. D. MOSTOW, Strong Rigidity of Locally Symmetric Spaces, Ann. of Math. Studies 78, Princeton Univ. Press, 1973. Zbl0265.53039MR52 #5874
  18. [18] M. S. RAGHUNATHAN, Torsion in cocompact lattices in coverings of Spin (2, n), Math. Annalen, 266 (1984), 403-419. Zbl0513.22008MR86k:22027
  19. [19] J.-P. SERRE, Arbres, amalgames, SL2, Astérisque, no 46, 1977 ; english translation : Trees, Springer, 1980. Zbl0369.20013MR57 #16426
  20. [20] D. TOLEDO, Examples of fundamental groups of compact Kähler manifolds, Bull. London Math. Soc., 22 (1990), 339-343. Zbl0711.57024MR91e:32006
  21. [21] O. ZARISKI, Algebraic Surfaces (Second Supplemented Edition), Springer, 1971. Zbl0219.14020MR57 #9695

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