2020•arXiv (Cornell University)Open access

p-Determinants and monodromy of differential operators

Maxim Kontsevich, Alexander Vladimirovich Odesskii

Open full text 0 citations

Abstract

We prove that $p$-determinants of a certain class of differential operators can be lifted to power series over $\mathbb{Q}$. We compute these power series in terms of monodromy of the corresponding differential operators.

Open-access reader

About this research paper

What this paper is about

We prove that $p$-determinants of a certain class of differential operators can be lifted to power series over $\mathbb{Q}$. We compute these power series in terms of monodromy of the corresponding differential operators.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

We prove that $p$-determinants of a certain class of differential operators can be lifted to power series over $\mathbb{Q}$. We compute these power series in terms of monodromy of the corresponding differential operators.

Key concepts: Monodromy, Differential operator, Differential (mechanical device), Series (stratigraphy), Mathematics, Power series, Class (philosophy), Pure mathematics

Related papers

Back to paper searchBrowse research topicsOriginal source
p-Determinants and monodromy of differential operators — Research Paper | ScholarLens