| 000 | 01772cam a2200289zu 4500 | ||
|---|---|---|---|
| 001 | 88956880 | ||
| 003 | FRCYB88956880 | ||
| 005 | 20250429181609.0 | ||
| 006 | m o d | ||
| 007 | cr un | ||
| 008 | 250429s2022 fr | o|||||0|0|||eng d | ||
| 020 | _a9780691235479 | ||
| 035 | _aFRCYB88956880 | ||
| 040 |
_aFR-PaCSA _ben _c _erda |
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| 100 | 1 | _aFavre, Charles | |
| 245 | 0 | 1 |
_aThe Arithmetic of Polynomial Dynamical Pairs _b(AMS-214) _c['Favre, Charles', 'Gauthier, Thomas'] |
| 264 | 1 |
_bPrinceton University Press _c2022 |
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| 300 | _a p. | ||
| 336 |
_btxt _2rdacontent |
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| 337 |
_bc _2rdamdedia |
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| 338 |
_bc _2rdacarrier |
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| 650 | 0 | _a | |
| 700 | 0 | _aFavre, Charles | |
| 700 | 0 | _aGauthier, Thomas | |
| 856 | 4 | 0 |
_2Cyberlibris _uhttps://international.scholarvox.com/netsen/book/88956880 _qtext/html _a |
| 520 | _aNew 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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_c1324990 _d1324990 |
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