Тип публикации: статья из журнала
Год издания: 2026
Идентификатор DOI: 10.1134/S0037446626050137
Ключевые слова: Semistable sheaf, reflexive sheaf, Chern classes, moduli space
Аннотация: In 2024, D.A. Vasil’ev and A.S. Tikhomirov constructed a new infinite series of irreducible rational components of moduli spaces of rank $ 2 $ semistable sheaves on rational Fano threefolds of the main series, described generic sheaves in these components, and gave formulas for the dimensions of these components. The first Chern clПоказать полностьюass of the sheaves in these components may be even or odd, while the second and third Chern classes are polynomials of a special form in three variables. In addition, they obtained upper bounds for expressions involving the third Chern class of such sheaves. In the present paper, we prove the uniqueness of the components of moduli spaces in this series for such values of the Chern classes and refine the above bounds.
Журнал: Siberian Mathematical Journal
Выпуск журнала: Т. 67, № 5
Номера страниц: 1134-1139
ISSN журнала: 00374466
Место издания: Moscow
Издатель: Pleiades Publishing, Ltd.