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The dynamical Mordell-Lang conjecture for polynomial endomorphisms of the affine plane / Junyi Xie.
Math/Physics/Astronomy Library QA1 .A85 v.394
Available
- Format:
- Book
- Author/Creator:
- Xie, Junyi, 1986- author.
- Series:
- Astérisque ; 394.
- Astérisque, 0303-1179 ; 394
- Language:
- English
- French
- Subjects (All):
- Ergodic theory.
- Mordell conjecture.
- Curves, Algebraic.
- Arithmetical algebraic geometry.
- Surfaces, Algebraic.
- Genre:
- Informational works.
- Physical Description:
- vi, 110 pages : illustrations ; 24 cm.
- Place of Publication:
- Paris : Société Mathématique de France, 2017.
- Language Note:
- Text in English with abstracts in English and French.
- Summary:
- "In this paper we prove the Dynamical Mordell-Lang Conjecture for polynomial endomorphisms of the affine plane over the algebraic numbers. More precisely, let f be an endomorphism of the affine plan over the algebraic numbers. Let x be a point in the affine plan and C be a curve. If the intersection of C and the orbits of x is infinite, then C is periodic."--Back cover.
- Notes:
- Includes bibliographical references (pages 109-110).
- ISBN:
- 9782856298695
- 2856298699
- OCLC:
- 1022120143
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