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On special Lagrangian fibrations in generic twistor families of K3 surfaces

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arxiv 1703.01746 v2 pith:GSXZMN7U submitted 2017-03-06 math.DS

On special Lagrangian fibrations in generic twistor families of K3 surfaces

classification math.DS
keywords deltafibrationsgenericlagrangiannumberspecialsurfacestwistor
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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 $0<\delta<\frac{4}{697633}$.

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