p-Determinants and monodromy of differential operators
Maxim Kontsevich, Alexander Vladimirovich Odesskii
Abstract
Open-access reader
Maxim Kontsevich, Alexander Vladimirovich Odesskii
Abstract
Open-access reader
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.
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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