Pulling back cohomology classes and dynamical degrees of monomial maps

Jan-Li Lin

Bulletin de la Société Mathématique de France (2012)

  • Volume: 140, Issue: 4, page 533-549
  • ISSN: 0037-9484

Abstract

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We study the pullback maps on cohomology groups for equivariant rational maps (i.e., monomial maps) on toric varieties. Our method is based on the intersection theory on toric varieties. We use the method to determine the dynamical degrees of monomial maps and compute the degrees of the Cremona involution.

How to cite

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Lin, Jan-Li. "Pulling back cohomology classes and dynamical degrees of monomial maps." Bulletin de la Société Mathématique de France 140.4 (2012): 533-549. <http://eudml.org/doc/272649>.

@article{Lin2012,
abstract = {We study the pullback maps on cohomology groups for equivariant rational maps (i.e., monomial maps) on toric varieties. Our method is based on the intersection theory on toric varieties. We use the method to determine the dynamical degrees of monomial maps and compute the degrees of the Cremona involution.},
author = {Lin, Jan-Li},
journal = {Bulletin de la Société Mathématique de France},
keywords = {dynamical degrees; topological entropy; monomial maps},
language = {eng},
number = {4},
pages = {533-549},
publisher = {Société mathématique de France},
title = {Pulling back cohomology classes and dynamical degrees of monomial maps},
url = {http://eudml.org/doc/272649},
volume = {140},
year = {2012},
}

TY - JOUR
AU - Lin, Jan-Li
TI - Pulling back cohomology classes and dynamical degrees of monomial maps
JO - Bulletin de la Société Mathématique de France
PY - 2012
PB - Société mathématique de France
VL - 140
IS - 4
SP - 533
EP - 549
AB - We study the pullback maps on cohomology groups for equivariant rational maps (i.e., monomial maps) on toric varieties. Our method is based on the intersection theory on toric varieties. We use the method to determine the dynamical degrees of monomial maps and compute the degrees of the Cremona involution.
LA - eng
KW - dynamical degrees; topological entropy; monomial maps
UR - http://eudml.org/doc/272649
ER -

References

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