Alexander Zheglov

Commuting Ordinary Differential Operators with Polynomial Coefficients and Automorphisms of the First Weyl Algebra

In this paper we study rank two commuting ordinary differential operators with polynomial coefficients and the orbit space of the automorphisms group of the first Weyl algebra on such operators. We prove that for arbitrary fixed spectral curve of genus one the space of orbits is infinite. Moreover, we prove in this case that for for any

On some questions related to the Krichever correspondence

n\ge 1

Commuting differential operators and higher-dimensional algebraic varieties

there is a pair of self-adjoint commuting ordinary differential operators of rank two

Formal punctured ribbons and two-dimensional local fields

L_4=(\partial_x^2+V(x))^2+W(x)

Formal Groups Arising from Formal Punctured Ribbons

,

Fourier–Mukai transform on Weierstrass cubics and commuting differential operators

L_{6}

О строении двумерных локальных тел@@@On the structure of two-dimensional local skew fields

, where

О некоторых вопросах, связанных с соответствием Кричевера@@@On Some Questions Related to the Krichever Correspondence

W(x),V(x)

Удивительные примеры нерациональных гладких спектральных поверхностей

are polynomials of degree

Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems

n