Arrangements of hyperplanes and Lie algebra homology.

A.N. Varchenko; Vadim V. Schechtman

Inventiones mathematicae (1991)

  • Volume: 106, Issue: 1, page 139-194
  • ISSN: 0020-9910; 1432-1297/e

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Varchenko, A.N., and Schechtman, Vadim V.. "Arrangements of hyperplanes and Lie algebra homology.." Inventiones mathematicae 106.1 (1991): 139-194. <http://eudml.org/doc/143938>.

@article{Varchenko1991,
author = {Varchenko, A.N., Schechtman, Vadim V.},
journal = {Inventiones mathematicae},
keywords = {cohomology of local systems; Orlik-Solomon algebra; flag complex; discriminantal arrangements; complements of hyperplanes; complex affine subspaces; homology; Knizhnik-Zamolodchikov differential equations; generalized hypergeometric integrals},
number = {1},
pages = {139-194},
title = {Arrangements of hyperplanes and Lie algebra homology.},
url = {http://eudml.org/doc/143938},
volume = {106},
year = {1991},
}

TY - JOUR
AU - Varchenko, A.N.
AU - Schechtman, Vadim V.
TI - Arrangements of hyperplanes and Lie algebra homology.
JO - Inventiones mathematicae
PY - 1991
VL - 106
IS - 1
SP - 139
EP - 194
KW - cohomology of local systems; Orlik-Solomon algebra; flag complex; discriminantal arrangements; complements of hyperplanes; complex affine subspaces; homology; Knizhnik-Zamolodchikov differential equations; generalized hypergeometric integrals
UR - http://eudml.org/doc/143938
ER -

Citations in EuDML Documents

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  1. Vitaly Tarasov, Alexander Varchenko, Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety
  2. A. Nakayashiki, S. Pakuliak, V. Tarasov, On solutions of the KZ and qKZ equations at level zero
  3. Evgeny Mukhin, Alexander Varchenko, Miura opers and critical points of master functions
  4. Michael Falk, Vadim Schechtman, Alexander Varchenko, BGG resolutions via configuration spaces
  5. R. Rimányi, A. Varchenko, Conformal blocks in the tensor product of vector representations and localization formulas
  6. A. Varchenko, Critical points of the product of powers of linear functions and families of bases of singular vectors
  7. Prakash Belkale, Swarnava Mukhopadhyay, Conformal blocks and cohomology in genus 0

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