Quantitative Arithmetic of Projective Varieties
This monograph is concerned with counting rational points of bounded height on projective algebraic varieties. This is a relatively young topic, whose exploration has already uncovered a rich seam of mathematics situated at the interface of analytic number theory and Diophantine geometry. The goal o...
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| Format: | Electronic |
| Language: | English |
| Published: |
Basel :
Birkhũser Basel,
2009.
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| Series: | Progress in Mathematics ;
277 |
| Subjects: | |
| Online Access: | https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-0346-0129-0 |
| Summary: | This monograph is concerned with counting rational points of bounded height on projective algebraic varieties. This is a relatively young topic, whose exploration has already uncovered a rich seam of mathematics situated at the interface of analytic number theory and Diophantine geometry. The goal of the book is to give a systematic account of the field with an emphasis on the role played by analytic number theory in its development. Among the themes discussed in detail are * the Manin conjecture for del Pezzo surfaces; * Heath-Brown's dimension growth conjecture; and * the Hardy-Littlewood circle method. Readers of this monograph will be rapidly brought into contact with a spectrum of problems and conjectures that are central to this fertile subject area. |
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| Physical Description: | online resource. |
| ISBN: | 9783034601290 |