Normal Forms for Ordinary Differential Operators. III
Abstrak
In this paper, which is a follow-up of the previous ones (arXiv: 2406.14414 [math.AG] and arXiv: 2511.05117 [math.AG]), we extend the explicit parametrization of torsion-free rank \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$1$$\end{document} sheaves on projective irreducible curves with vanishing cohomology groups obtained earlier to an analogous parametrization of torsion-free sheaves of arbitrary rank with vanishing cohomology groups on projective irreducible curves. As an illustration of our theorem we calculate an explicit example, namely, the parametrization of rank \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2$$\end{document} sheaves on the Weierstrass cubic curve.
Topik & Kata Kunci
Penulis (2)
Junhui Guo
A. Zheglov
Akses Cepat
- Tahun Terbit
- 2025
- Bahasa
- en
- Sumber Database
- Semantic Scholar
- DOI
- 10.1134/S0081543825601078
- Akses
- Open Access ✓