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math.SG2018★ 1 cited
A Lagrangian sphere which is not a vanishing cycle
François Greer
We give examples of Calabi-Yau threefolds containing Lagrangian spheres which are not vanishing cycles of nodal degenerations, answering a question of Donaldson in the negative.
math.AG2018★ 2 cited
Modular forms from Noether-Lefschetz theory
François Greer
We enumerate smooth rational curves on very general Weierstrass fibrations over hypersurfaces in projective space. The generating functions for these numbers lie in the ring of cla…