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Logarithmic transformations on the six-sphere

Jeff Viaclovsky

Source record

Source: arXiv

Published: Oct 29, 2026

arXiv: 2610.39102

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Source abstract

We show that there are infinitely many choices of the multiplicities in the logarithmic transformation step of the Alpöge--Claude construction which produce a complex threefold diffeomorphic to the six-sphere. Moreover, distinct choices of the multiplicities yield biholomorphically inequivalent complex structures.

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