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Explicit uniform estimation of rational points I. Estimation of heights
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Huayi Chen
Published/Copyright:
September 20, 2011
Abstract
By using the slope method in Arakelov geometry, we study the complexity of the singular locus of an arithmetic projective variety and explicit estimations of the arithmetic Hilbert–Samuel function.
Received: 2009-11-12
Revised: 2011-01-17
Published Online: 2011-09-20
Published in Print: 2012-07
©[2012] by Walter de Gruyter Berlin Boston
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- Overconvergent Witt vectors
- Special subvarieties of Drinfeld modular varieties
- Explicit uniform estimation of rational points I. Estimation of heights
- Explicit uniform estimation of rational points II. Hypersurface coverings
- Pieri rules for the K-theory of cominuscule Grassmannians
- The Hörmander multiplier theorem for multilinear operators
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- Stable phase interfaces in the van der Waals–Cahn–Hilliard theory
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Articles in the same Issue
- Overconvergent Witt vectors
- Special subvarieties of Drinfeld modular varieties
- Explicit uniform estimation of rational points I. Estimation of heights
- Explicit uniform estimation of rational points II. Hypersurface coverings
- Pieri rules for the K-theory of cominuscule Grassmannians
- The Hörmander multiplier theorem for multilinear operators
- Quantum cluster variables via Serre polynomials
- Stable phase interfaces in the van der Waals–Cahn–Hilliard theory
- On Brauer–Kuroda type relations of S-class numbers in dihedral extensions
