Persons: Treibich, Armando

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Treibich, Armando

Professor

Doctor of physico-mathematical sciences (1991)

Speciality:

01.01.00 (Mathematics)

Birth date:

13.02.1956

E-mail:

Keywords:

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

	Publications in Math-Net.Ru	Citations
	2016
1.	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	2
	2015
2.	A. Treibich, “Systems of Polynomial Equations Defining Hyperelliptic $d$-Osculating Covers”, Funktsional. Anal. i Prilozhen., 49:1 (2015), 49–61 ; Funct. Anal. Appl., 49:1 (2015), 40–49
	2011
3.	A. Treibich, “Nonlinear Evolution Equations and Hyperelliptic Covers of Elliptic Curves”, Regul. Chaotic Dyn., 16:3-4 (2011), 290–310
	2001
4.	A. Treibich, “Hyperelliptic tangential covers and finite-gap potentials”, Uspekhi Mat. Nauk, 56:6(342) (2001), 89–136 ; Russian Math. Surveys, 56:6 (2001), 1107–1151	22

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