# 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

- MathematicsAnnales scientifiques de l'École normale supérieure
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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…

### Recounting special Lagrangian cycles in twistor families of K3 surfaces (or: How I learned to stop worrying and count BPS states)

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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…

### On the equidistribution of some Hodge loci

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Abstract We prove the equidistribution of the Hodge locus for certain non-isotrivial, polarized variations of Hodge structure of weight 2 with h 2 , 0 = 1 {h^{2,0}=1} over complex, quasi-projective…

### Sur certains aspects géométriques et arithmétiques des variétés de Shimura orthogonales

- Philosophy
- 2019

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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