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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2001
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/math/0104241 |
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Table des matières:
- A composition of birational maps given by Laurent polynomials need not be given by Laurent polynomials; however, sometimes---quite unexpectedly---it does. We suggest a unified treatment of this phenomenon, which covers a large class of applications. In particular, we settle in the affirmative a conjecture of D$.$Gale and R$.$Robinson on integrality of generalized Somos sequences, and prove the Laurent property for several multidimensional recurrences, confirming conjectures by J$.$Propp, N$.$Elkies, and M$.$Kleber.