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Desingularization of a hyperelliptic curve associated with a doubly periodic Dirac potential
Spyridon KamvissisAbstract
Let (q(x), p(x)) be a doubly periodic Dirac potential; denote by L the lattice of its periods. The associated spectral curve is a (possibly singular) hyperelliptic covering of the elliptic curve C / L. We show that by varying L we can obtain a smooth spectral curve of the same genus.
- Received:
- 17.11.98
- Published:
- 17.11.98