Abstract
The purpose of the present note is to put certain fundamental works of Kiyoshi Oka in historical perspective and, in particular, to give them their deserved recognition. It is clarified how K. Oka reached to the notion of “coherent sheaves”, or “ideals of undtermined domains”, and why there are two versions of the paper, Oka VII.
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Notes
- 1.
It is interesting to learn the easier algebraic case was established under the influence of the difficult analytic case; [FAC] is [72].
- 2.
A number of records indicate this; cf., e.g., [42], “Message from Professor Henri Cartan”, or [\(\dagger \)] p. 262, M. Audin (Ed.), Correspondance entre Henri Cartan et André Weil, 1928-1991, Soc. Math. France, Paris, 2011; there one may find also their frank comments on the French language of K. Oka.
- 3.
It is noted that Oka VII in this volume is a translation from the Iwanami version.
- 4.
This means H. Cartan [11].
- 5.
In this sense the received dates of Oka’s papers are of importance. It is incomprehensible that the received dates of all papers are deleted in the Collected Works of Oka [67] published by Springer-Verlag.
- 6.
The wavy underlining was added by the present author.
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Noguchi, J. (2016). On Coherence. In: Analytic Function Theory of Several Variables. Springer, Singapore. https://doi.org/10.1007/978-981-10-0291-5_9
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DOI: https://doi.org/10.1007/978-981-10-0291-5_9
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