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The Cauchy-Weil Formula and its Consequences

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Residue Currents and Bezout Identities

Part of the book series: Progress in Mathematics ((PM,volume 114))

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Abstract

In this chapter we shall give several applications of the well-known Cauchy-Weil formula [17], [18], and we shall point out its relation to the Grothendieck residue introduced in Chapter 3. We start this section by showing that the Cauchy-Weil formula, at least in some cases, can be derived from the Cauchy formula with weights, proved in Theorem 2.7.

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Berenstein, C.A., Vidras, A., Gay, R., Yger, A. (1993). The Cauchy-Weil Formula and its Consequences. In: Residue Currents and Bezout Identities. Progress in Mathematics, vol 114. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8560-7_4

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  • DOI: https://doi.org/10.1007/978-3-0348-8560-7_4

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9680-1

  • Online ISBN: 978-3-0348-8560-7

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