The Legacy of Abel in Algebraic Geometry

Phillip Griffiths

A chapter in The Legacy of Niels Henrik Abel, 2004, pp 179-205 from Springer

Abstract: Abstract This paper is based on a talk given at the bicentenary celebration of the birth of Niels Henrik Abel held in Oslo in June, 2002. The objectives of the talk were first to recall Abel’s theorem in more or less its original form, secondly to discuss two of the perhaps less well known converses to the theorem, and thirdly to present two (from among the many) interesting issues in modern algebraic geometry that may at least in part be traced to the work of Abel. Finally, in the reprise I will suggest that the arithmetic aspects of Abel’s theorem may be a central topic for the 21st century.

Keywords: Algebraic Geometry; Algebraic Curve; Maximum Rank; Partial Fraction Expansion; Lagrange Interpolation Formula (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18908-1_5

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DOI: 10.1007/978-3-642-18908-1_5

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