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math.AG2002
Nodes and the Hodge conjecture
R. P. Thomas
The Hodge conjecture is shown to be equivalent to a question about the homology of very ample divisors with ordinary double point singularities. The infinitesimal version of the re…
math.SG2002★ 1 cited
Symplectic conifold transitions
I. Smith, R. P. Thomas, S. -T. Yau
We introduce a symplectic surgery in six dimensions which collapses Lagrangian three-spheres and replaces them by symplectic two-spheres. Under mirror symmetry it corresponds to an…