Dafeng Zuo, “Commuting differential operators of rank 3 associated to a curve of genus 2”, SIGMA, 2012, Volume 8,044, 11 pp.

This article is cited in 10 papers

Commuting differential operators of rank 3 associated to a curve of genus 2

Dafeng Zuo^ab

^a School of Mathematical Science, University of Science and Technology of China, Hefei 230026, P.R. China
^b Wu Wen-Tsun Key Laboratory of Mathematics, USTC, Chinese Academy of Sciences, P.R. China

Abstract: In this paper, we construct some examples of commuting differential operators $L_1$ and $L_2$ with rational coefficients of rank 3 corresponding to a curve of genus 2.

Keywords: commuting differential operators, rank 3, genus 2.

MSC: 13N10; 14H45; 34L99; 37K20

Received: March 12, 2012; in final form July 12, 2012; Published online July 15, 2012

Language: English

DOI: 10.3842/SIGMA.2012.044