On special Lagrangian fibrations in generic twistor families of K3 surfaces
@article{Bergeron2017OnSL, title={On special Lagrangian fibrations in generic twistor families of K3 surfaces}, author={Nicolas Bergeron and Carlos Matheus}, journal={arXiv: Dynamical Systems}, year={2017} }
Filip showed that there are constants $C>0$ and $\delta>0$ such that the number of special Lagrangian fibrations of volume $\leq V$ in a generic twistor family of K3 surfaces is $C\cdot V^{20}+O(V^{20-\delta})$.
In this note, we show that $\delta$ can be taken to be any number $0<\delta<\frac{4}{692871}$.
4 Citations
Counting special lagrangian fibrations in twistor families of K3 surfaces
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The number of closed billiard trajectories in a rational-angled polygon grows quadratically in the length. This paper gives an analogue on K3 surfaces, by considering special Lagrangian tori. The…
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We consider asymptotics of certain BPS state counts in M-theory compactified on a K3 surface. Our investigation is parallel to (and was inspired by) recent work in the mathematics literature by…
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Cette these a pour objet l'etude de quelques proprietes arithmetiques et geometriques des varietes de Shimura orthogonales. Ces varietes apparaissent naturellement comme espaces de modules de…
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