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Introduction

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Lectures on Several Complex Variables
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Abstract

In this introductory chapter, important and surprising differences between one and several complex variables are pointed out.

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References

  1. Bierstone, E., Milman, P.D., Parusinski, A.: A function which is arc-analytic but not continuous. Proc. Amer. Math. Soc. 113(2), 419–423 (1991)

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  2. Merker, J., Porten, E.: A Morse-theoretical proof of the Hartogs extension theorem. J. Geom. Anal. 17(3), 513–546 (2007)

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  3. Poincaré, H.: Les fonctions analytiques de deux variables et la représentation conforme. Rend. Circ. Mat. Palermo 23, 185–220 (1907)

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  4. Range, R.M.: Holomorphic Functions and Integral Representations in Several Complex Variables. Graduate Texts in Mathematics, vol. 108, Springer, New York (1986), Second corrected printing (1998)

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Gauthier, P.M. (2014). Introduction. In: Lectures on Several Complex Variables. Springer, Cham. https://doi.org/10.1007/978-3-319-11511-5_1

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