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An Arithmetic Riemann Roch Theorem for Singular Arithmetic Surfaces Book PDF Summary

The following gives a development of Arakelov theory general enough to handle not only regular arithmetic surfaces but also a large class of arithmetic surfaces whose generic fiber has singularities. This development culminates in an arithmetic Riemann-Roch theorem for such arithmetic surfaces. The first part of the memoir gives a treatment of Deligne's functorial intersection theory, and the second develops a class of intersection functions for singular curves which behaves analogously to the canonical Green's functions introduced by Arakelov for smooth curves.

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An Arithmetic Riemann Roch Theorem for Singular Arithmetic Surfaces
  • Author : Wayne Aitken
  • Release : 20 September 1996
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821804070
  • Genre : Mathematics
  • Total Page : 189 pages
  • Language : English
  • PDF File Size : 21,9 Mb

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