Hyperelliptic tangential cover, finite-gap potential, del Pezzo surface.
Subject:
Elliptic even finite-gap potentials and their spectral data.
Main publications:
\begin{thebibliography}{9}
\RBibitem{1}
\by A. Treibich & J.-L. Verdier
\paper Solitons Elliptiques
\paperinfo We consider the KdV solutions doubly periodic with respect to the first KdV flow and characterize the corresponding spectral data as irreducible divisors of a suitable family of algebraic surfaces. Many geometric properties of the spectral curves follow.
\jour Progress in Mathematics, The Grothendieck Festschrift vol. III
\yr 1990
\vol 88
\pages 473-480
A. Treibich, “Hyperelliptic tangential covers and even elliptic finite-gap potentials, back and forth”, Mat. Sb., 216:9 (2025), 114–162; Sb. Math., 216:9 (2025), 1297–1338
2016
2.
A. Treibich, “Tangential Polynomials and Matrix KdV Elliptic Solitons”, Funktsional. Anal. i Prilozhen., 50:4 (2016), 76–90; Funct. Anal. Appl., 50:4 (2016), 308–318
