- Tytuł:
- Monodromy invariant Hermitian forms for second order Fuchsian differential equations with four singularities
- Autorzy:
- Adachi, Shunya
- Powiązania:
- https://bibliotekanauki.pl/articles/2216189.pdf
- Data publikacji:
- 2022
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Fuchsian differential equations
monodromy representation
monodromy invariant Hermitian form - Opis:
- We study the monodromy invariant Hermitian forms for second order Fuchsian differential equations with four singularities. The moduli space of our monodromy representations can be realized by certain affine cubic surface. In this paper we characterize the irreducible monodromies having the non-degenerate invariant Hermitian forms in terms of that cubic surface. The explicit forms of invariant Hermitian forms are also given. Our result may bring a new insight into the study of the Painlevé differential equations.
- Źródło:
-
Opuscula Mathematica; 2022, 42, 3; 361-391
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł