Arithmetic geometry of toric varieties. metrics, measures and heights / José Ignacio Burgos Gil, Patrice Philippon, Martín Sombra.
We show that the height of a toric variety with respect to a toric metrized line bundle can be expressed as the integral over a polytope of a certain adelic family of concave functions. To state and prove this result, we study the Arakelov geometry of toric varieties. In particular, we consider mode...
Main Authors: | |
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Language: | English |
Language and/or Writing System: |
Text in English; abstract also in French. |
Published: |
Paris :
Société Mathématique de France,
2014.
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Series: | Astérisque ;
360. |
Subjects: | |
Physical Description: | vi, 222 pages : illustrations ; 24 cm. |
Format: | Book |
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