Method of Generating Differentials

I-Chiau Huang ()
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I-Chiau Huang: Academia Sinica, Institute of Mathematics

Chapter Chapter 6 in Advances in Combinatorial Mathematics, 2009, pp 127-154 from Springer

Abstract: Abstract Enhancing the method of generating functions and the method of coefficients, various notions of differentials are brought in so that computations resulting Jacobians from changes of variables become transparent. Here we present modules of differentials for rings of formal power series and for fields of generalized power series. Local cohomology residues and logarithmic residues are reviewed with implementations on classical problems.

Date: 2009
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DOI: 10.1007/978-3-642-03562-3_6

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