Residue of meromorphic functions with linear poles
Speaker: Bin Zhang, Sichuan University
Abstract: Germs of meromorphic fractions with linear poles at zero arise naturally in various contexts. We provide a decomposition of the algebra of such germs into the holomorphic part and its linear complement by means of an inner product using our results on cones and pure fractions in an essential way. Using this decomposition we define a residue on germs of meromorphic fractions with linear poles at zero and prove that it is independent of the chosen inner product. Furthermore, if restricted to cones, this residue gives a valuation.
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Room Number: 106 McAllister
Time: 2:30pm - 3:30pm