• Corpus ID: 119179514

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 $0<\delta<\frac{4}{692871}$. 

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References

SHOWING 1-4 OF 4 REFERENCES

The Minimal Decay of Matrix Coefficients for Classical Groups

Let G be a reductive Lie group with compact center. A unitary representation p of G is said to be strongly L p if, for a dense set of vectors v in the space of ρ, the matrix coefficients x ↦

Effective equidistribution of S-integral points on symmetric varieties

Let K be a global field of characteristic not 2. Let Z be a symmetric variety defined over K and S a finite set of places of K. We obtain counting and equidistribution results for the S-integral

Exponential Decay of Correlation Coefficients for Geodesic Flows

We obtain exponential decay bounds for correlation coefficients of geodesic flows on surfaces of constant negative curvature (and for all Riemannian symmetric spaces of rank one), answering a

Almost L2 matrix coefficients.

The purpose of this note is to insert into the literature two long-but-not-wellknown facts about matrix coefficients of unitary representations. Our first theorem concerns general locally compact