Geodesic
ON THE NUMBER OF POINTS OVER FINITE FIELDS ON VARIETIES RELATED TO CLUSTER ALGEBRAS
Glasgow mathematical journal, Tome 53 (2011) no. 1, pp. 141-151

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We start here the study of some algebraic varieties related to cluster algebras. These varieties are defined as the fibres of the projection map from the cluster variety to the affine space of coefficients. We compute the number of points over finite fields on these varieties, for all simply laced Dynkin diagrams. We also compute the cohomology with compact support in some cases.
DOI : 10.1017/S0017089510000777
Mots-clés : 14R, 16G20 
CHAPOTON, F. ON THE NUMBER OF POINTS OVER FINITE FIELDS ON VARIETIES RELATED TO CLUSTER ALGEBRAS. Glasgow mathematical journal, Tome 53 (2011) no. 1, pp. 141-151. doi: 10.1017/S0017089510000777
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     title = {ON {THE} {NUMBER} {OF} {POINTS} {OVER} {FINITE} {FIELDS} {ON} {VARIETIES} {RELATED} {TO} {CLUSTER} {ALGEBRAS}},
     journal = {Glasgow mathematical journal},
     pages = {141--151},
     year = {2011},
     volume = {53},
     number = {1},
     doi = {10.1017/S0017089510000777},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000777/}
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