The characteristic variety of a generic foliation

Jorge Vitório Pereira

Journal of the European Mathematical Society (2012)

  • Volume: 014, Issue: 1, page 307-319
  • ISSN: 1435-9855

Abstract

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We confirm a conjecture of Bernstein–Lunts which predicts that the characteristic variety of a generic polynomial vector field has no homogeneous involutive subvarieties besides the zero section and subvarieties of fibers over singular points.

How to cite

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Pereira, Jorge Vitório. "The characteristic variety of a generic foliation." Journal of the European Mathematical Society 014.1 (2012): 307-319. <http://eudml.org/doc/277603>.

@article{Pereira2012,
abstract = {We confirm a conjecture of Bernstein–Lunts which predicts that the characteristic variety of a generic polynomial vector field has no homogeneous involutive subvarieties besides the zero section and subvarieties of fibers over singular points.},
author = {Pereira, Jorge Vitório},
journal = {Journal of the European Mathematical Society},
keywords = {characteristic foliation; invariant variety; $\mathcal \{D\}$-modules; characteristic foliation; invariant variety; -modules},
language = {eng},
number = {1},
pages = {307-319},
publisher = {European Mathematical Society Publishing House},
title = {The characteristic variety of a generic foliation},
url = {http://eudml.org/doc/277603},
volume = {014},
year = {2012},
}

TY - JOUR
AU - Pereira, Jorge Vitório
TI - The characteristic variety of a generic foliation
JO - Journal of the European Mathematical Society
PY - 2012
PB - European Mathematical Society Publishing House
VL - 014
IS - 1
SP - 307
EP - 319
AB - We confirm a conjecture of Bernstein–Lunts which predicts that the characteristic variety of a generic polynomial vector field has no homogeneous involutive subvarieties besides the zero section and subvarieties of fibers over singular points.
LA - eng
KW - characteristic foliation; invariant variety; $\mathcal {D}$-modules; characteristic foliation; invariant variety; -modules
UR - http://eudml.org/doc/277603
ER -

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