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Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces
Lagrangian fibrations blowups of toric varieties mirror symmetry hypersurfaces Algebraic Geometry
2012/5/9
We consider mirror symmetry for (essentially arbitrary) hypersurfaces in (possibly noncompact) toric varieties from the perspective of the Strominger-Yau-Zaslow (SYZ) conjecture. Given a hypersurface ...
The overarching finite symmetry group of Kummer surfaces in the Mathieu group M_24
Kummer surfaces Mathieu group High Energy Physics - Theory Algebraic Geometry
2011/10/9
Abstract: We construct a bijection between the full integral homology lattice of K3 and a Niemeier lattice, which is simultaneously compatible with the finite symplectic automorphism groups of several...
In this article, we define an action of \hat{\Bbb Z} on the A\infty category whose objects are rational Lagrangian submanifolds together with some other data. The group \hat{\Bbb Z} is a Galois group ...