Vol. 76, No. 1, 1978

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The sheaf of outer functions in the polydisc

Sergio Eduardo Zarantonello

Vol. 76 (1978), No. 1, 267–281
Abstract

Let Un be the unit polydisc in Cn. Define a presheaf by assigning to each relatively open subset W of Un the multiplicative group of outer functions in the intersection W Un. If 𝒬 denotes the associated sheaf, we prove that Hq(Un,𝒬) = 0 for all integers q 1.

Mathematical Subject Classification 2000
Primary: 32C35
Secondary: 32E30
Milestones
Received: 7 July 1977
Revised: 14 October 1977
Published: 1 May 1978
Authors
Sergio Eduardo Zarantonello