Nil-manifolds as links of isolated singularities

Richard M. Hain

Compositio Mathematica (1992)

  • Volume: 84, Issue: 1, page 91-99
  • ISSN: 0010-437X

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Hain, Richard M.. "Nil-manifolds as links of isolated singularities." Compositio Mathematica 84.1 (1992): 91-99. <http://eudml.org/doc/90182>.

@article{Hain1992,
author = {Hain, Richard M.},
journal = {Compositio Mathematica},
keywords = {nilmanifolds; homotopy type of the classifying space of a finitely generated (torsion free) nilpotent group; links of isolated singularities; Heisenberg group; link of an isolated -fold singularity; mixed Hodge structure},
language = {eng},
number = {1},
pages = {91-99},
publisher = {Kluwer Academic Publishers},
title = {Nil-manifolds as links of isolated singularities},
url = {http://eudml.org/doc/90182},
volume = {84},
year = {1992},
}

TY - JOUR
AU - Hain, Richard M.
TI - Nil-manifolds as links of isolated singularities
JO - Compositio Mathematica
PY - 1992
PB - Kluwer Academic Publishers
VL - 84
IS - 1
SP - 91
EP - 99
LA - eng
KW - nilmanifolds; homotopy type of the classifying space of a finitely generated (torsion free) nilpotent group; links of isolated singularities; Heisenberg group; link of an isolated -fold singularity; mixed Hodge structure
UR - http://eudml.org/doc/90182
ER -

References

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  2. [2] P. Deligne: Théorie de Hodge II, Publ. IHES40 (1971), 5-58. Zbl0219.14007MR498551
  3. [3] A. Durfee and R. Hain: Mixed Hodge structures on the homotopy of links, Math. Ann.280 (1988), 69-83. Zbl0617.14012MR928298
  4. [4] P. Griffiths and J. Harris: Principles of Algebraic Geometry, Wiley-Interscience, New York, 1978. Zbl0408.14001MR507725
  5. [5] P. Hilton and U. Stammbach: A Course in Homological Algebra, Springer-Verlag, 1971. Zbl0238.18006MR346025
  6. [6] J. Morgan: The algebraic topology of smooth algebraic varieties, Publ. IHES48 (1978), 137-204; correction, Publ. IHES64 (1986), 185. Zbl0617.14013MR516917
  7. [7] V. Navarro Aznar: Sur la théorie de Hodge des variétés algébriques à singularités isolées, Asterisque130 (1985), 272-307. Zbl0599.14007MR804059
  8. [8] V. Navarro Aznar: Sur la théorie de Hodge-Deligne, Invent. Math.90 (1987), 11-76. Zbl0639.14002MR906579
  9. [9] K. Nomizu: On the cohomology of compact homogeneous spaces of nilpotent Lie groups, Ann. of Math.59 (1954), 167-189. Zbl0058.02202MR64057
  10. [10] D. Sullivan: Infinitesimal computations in topology, Publ. IHES47 (1977), 269-331. Zbl0374.57002MR646078
  11. [11] P. Wagreigh: Singularities of complex surfaces with solvable local fundamental group, Topology11 (1971), 51-72. Zbl0204.56404MR285536

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