On a property of Fermi curves of 2-dimensional periodic Schrödinger operators

Eva Lübcke

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arXiv · 1606.02833

On a property of Fermi curves of 2-dimensional periodic Schrödinger operators

Eva Lübcke

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Abstract

We consider a compact Riemann surface with a holomorphic involution, two marked fixed points of the involution and a divisor obeying an equation up to linear equivalence of divisors involving all this data. Examples of such data are Fermi curves of 2-dimensional periodic Schrödinger operators. We show that the equation has a solution if and only if the two marked points are the only fixed points of the involution.

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Eva Lübcke. 2016-06-23. On a property of Fermi curves of 2-dimensional periodic Schrödinger operators. https://arxiv.org/abs/1606.02833

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