Exceptional hereditary curves and real curve orbifolds

• Date: 2025
• Main Author: Burban, Igor
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2025
• Subjects: non-commutative curves; hereditary algebras and orders; equivariant coherent sheaves; Klein surfaces; tilting theory
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2365
• Journal Title: Algebra and Discrete Mathematics

In this paper, we elaborate the theory of exceptional hereditary curves over arbitrary fields. In particular, we study the category of equivariant coherent sheaves on a regular projective curve whose quotient curve has genus zero and prove existence of a tilting object in this case. We also establis...