The Arithmetic of polynomial dynamical pairs
New mathematical research in arithmetic dynamicsIn The Arithmetic of Polynomial Dynamical Pairs, Charles Favre and Thomas Gauthier present new mathematical research in the field of arithmetic dynamics. Specifically, the authors study one-dimensional algebraic families of pairs given by a polynomial...
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| Auteurs principaux: | , |
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| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Princeton :
Princeton University Press
2022.
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| Sujets: | |
| Accès en ligne: | Accès Université d'Orléans et IFPM Accès INSA CVL |
| Note: |
Couverture. https://static2.cyberlibris.com/books_upload/136pix/9780691235486.jpg Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The Arithmetic of polynomial dynamical pairs, Charles Favre, Thomas Gauthier, 2022, Princeton, Princeton University Press, 1 volume (xvii, 232 p.), Annals of Mathematics Studies, 978-0-691-23547-9 |
| Résumé: | New mathematical research in arithmetic dynamicsIn The Arithmetic of Polynomial Dynamical Pairs, Charles Favre and Thomas Gauthier present new mathematical research in the field of arithmetic dynamics. Specifically, the authors study one-dimensional algebraic families of pairs given by a polynomial with a marked point. Combining tools from arithmetic geometry and holomorphic dynamics, they prove an "unlikely intersection" statement for such pairs, thereby demonstrating strong rigidity features for them. They further describe one-dimensional families in the moduli space of polynomials containing infinitely many postcritically finite parameters, proving the dynamical André-Oort conjecture for curves in this context, originally stated by Baker and DeMarco.This is a reader-friendly invitation to a new and exciting research area that brings together sophisticated tools from many branches of mathematics |
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| Description: | Couverture. https://static2.cyberlibris.com/books_upload/136pix/9780691235486.jpg Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur |
| Bibliographie: | Bibliogr. p. [217]-229. Index |
| ISBN: | 9780691235486 |
| Accès: | L'accès en ligne est réservé aux établissements ou bibliothèques ayant souscrit l'abonnement. Cyberlibris |