Autor:	Gross, Mark, Hacking, Paul, Keel, Sean
Rok vydání:	2013
Předmět:	Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	We give a geometric interpretation of cluster varieties in terms of blowups of toric varieties. This enables us to provide, among other results, an elementary geometric proof of the Laurent phenomenon for cluster algebras (of geometric type), extend Speyer's example of an upper cluster algebra which is not finitely generated, and show that the Fock-Goncharov dual basis conjecture is usually false. Comment: 50 pages, to appear in Algebraic Geometry
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1309.2573 Zobrazit plný text záznamu View this record from Arxiv