no. 4
Pulling back cohomology classes and dynamical degrees of monomial maps
[Le pull-back de classes de cohomologie et les degrés dynamiques d'applications monomiales]
Bulletin de la Société Mathématique de France, Tome 140 (2012) no. 4, pp. 533-549.

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.

DOI : 10.24033/bsmf.2635
Classification : 37F10, 14M25
Mots clés : dynamical degrees, topological entropy, monomial maps 
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     author = {Lin, Jan-Li},
     title = {Pulling back cohomology classes and dynamical degrees of monomial maps},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     pages = {533--549},
     publisher = {Soci\'et\'e math\'ematique de France},
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     year = {2012},
     doi = {10.24033/bsmf.2635},
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     language = {en},
     url = {http://www.numdam.org/articles/10.24033/bsmf.2635/}
}
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Lin, Jan-Li. Pulling back cohomology classes and dynamical degrees of monomial maps. Bulletin de la Société Mathématique de France, Tome 140 (2012) no. 4, pp. 533-549. doi : 10.24033/bsmf.2635. http://www.numdam.org/articles/10.24033/bsmf.2635/

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