Weil Functions and Néron Divisors

Serge Lang
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Serge Lang: Yale University, Department of Mathematics

Chapter Chapter 10 in Fundamentals of Diophantine Geometry, 1983, pp 247-265 from Springer

Abstract: Abstract Weil in his thesis [We 2] gave a decomposition theorem which showed how the decomposition of the divisor of a rational function into irreducible components is reflected in the ideal decomposition of the values of this function at points in number fields. He extended his decomposition theorem to the case of arbitrary absolute values, including archimedean ones, in [We 1].

Keywords: Rational Function; Local Ring; Projective Variety; Decomposition Theorem; Hyperplane Section (search for similar items in EconPapers)
Date: 1983
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DOI: 10.1007/978-1-4757-1810-2_10

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