Exceptional hereditary curves and real curve orbifolds

• Дата: 2025
• Автор: Burban, Igor
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2025
• Теми: non-commutative curves; hereditary algebras and orders; equivariant coherent sheaves; Klein surfaces; tilting theory
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2365
• Назва журналу: 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...