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On the determination of the degree of an equation obtained by elimination (translation with commentary) | | Ferdinand Minding
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1 Oct 2003 | | Subject: | History and Overview; Algebraic Geometry MSC-class: Primary 13F20; Secondary 01A55, 52A39 | math.HO math.AG | | Affiliation: | translation and commentary by David A. Cox and J. Maurice Rojas | | Abstract: | In 1841, Ferdinand Minding published ``Ueber die Bestimmung des Grades einer durch Elimination hervorgehenden Gleichung’’ in Crelle’s Journal. His main theorem represents the first (implicit) appearance of the BKK bound (and even some of its extensions) in the mathematical literature. We present an English translation of this paper and a commentary which explains how Minding’s formula relates to the mixed area of lattice polygons. | | Source: | arXiv, math.HO/0310014 | | Services: | Forum | Review | PDF | Favorites | |
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