The Algebraic View of Infinitesimal Notions
Considering quantities ‘up to infinitesimals of order n’ can be translated in algebraic terms quite conveniently, considering elements ε (of certain rings) satisfying ε n = 0 as analogues of infinitesimals. Suppose, for example, that C is an algebraic curve, for simplicity considered over the complex field ℂ.
KeywordsSingular Point Tangent Space Maximal Ideal Formal Power Series Number Field
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