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Lectures on Arakelov Geometry

Lectures on Arakelov Geometry

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作者: C. Soulé, Centre National de la Recherche Scientifique , Paris （CNRS） , D. Abramovich, Princeton University, New Jersey , J. F. Burnol, Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig , J. K. Kramer

出版社: Cambridge University Press

出版时间: 1994-09

ISBN: 9780521477093

装帧: 其他

开本: 其他

页数: 188页

丛书: Cambridge Studies in Advanced Mathematics

分类: 外文古旧书>英文书>自然科学

Arakelov theory is a new geometric approach to diophantine equations. It combines algebraic geometry in the sense of Grothendieck with refined analytic tools such as currents on complex manifolds and the spectrum of Laplace operators. It has been used by Introduction
1. Intersection theory on regular schemes
2. Green currents
3. Arithmetic Chow groups
4. Characteristic classes
5. The determinant of Laplace operators
6. The determinant of the cohomology
7. The curvature of the determinant line bundle
8. The arithmetic Riemann–Roch–Grothendieck theorem
References
Index.
内容简介:
Arakelov theory is a new geometric approach to diophantine equations. It combines algebraic geometry in the sense of Grothendieck with refined analytic tools such as currents on complex manifolds and the spectrum of Laplace operators. It has been used by
目录:
Introduction
1. Intersection theory on regular schemes
2. Green currents
3. Arithmetic Chow groups
4. Characteristic classes
5. The determinant of Laplace operators
6. The determinant of the cohomology
7. The curvature of the determinant line bundle
8. The arithmetic Riemann–Roch–Grothendieck theorem
References
Index.

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Lectures on Arakelov Geometry

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