Author

Jeff Viaclovsky

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Preprint Sep 2026

A two-parameter family of complex structures on $S^6$

We construct a two-parameter family of complex structures on the standard six-sphere, starting from a rational elliptic surface with singular fibers $III^*,I_1,I_1,I_1$. The resulting torus fibration over $\mathbb{P}^1$ has one multiple fiber of multiplicity four, one hexagonal fiber, and two rank-one degenerations. Th...

Jeff Viaclovsky · 2 citations