Jeff Viaclovsky

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20012026

most citedEstimates and Existence Results for some Fully Nonlinear Elliptic Equations on Riemannian Manifolds

128 citations · 429 across the 36 of their papers we have counts for

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math.AG2026

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

Jeff Viaclovsky

We construct a two-parameter family of complex structures on the standard six-sphere, starting from a rational elliptic surface with singular fibers $I I I^{*}, I_{1}, I_{1}, I_{1}$ . The result…

math.AG2025

Some remarks on fibrations in complex geometry

Nobuhiro Honda, Jeff Viaclovsky

In this article, we discuss some properties of holomorphic fibrations in the complex analytic setting.

math.AG2024

Fibrations on the 6-sphere and Clemens threefolds

Nobuhiro Honda, Jeff Viaclovsky

Let $Z$ be a compact, connected $3$ -dimensional complex manifold with vanishing first and second Betti numbers and non-vanishing Euler characteristic. We prove that there is no sur…

math.AG2008

Threefolds of order one in the six-quadric

Lev Borisov, Jeff Viaclovsky

Consider the smooth quadric Q_6 in P^7. The middle homology group H_6(Q_6,Z) is two-dimensional with a basis given by two classes of linear subspaces. We classify all threefolds of…

A two-parameter family of complex structures on S6

Some remarks on fibrations in complex geometry

Fibrations on the 6-sphere and Clemens threefolds

Threefolds of order one in the six-quadric

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