Тип публикации: статья из журнала
Год издания: 2025
Идентификатор DOI: 10.1134/S0037446625010070
Ключевые слова: semistable reflexive sheaf, Chern classes, moduli space
Аннотация: We construct two infinite series of irreducible components of the moduli space of semistable reflexive rank 2 sheaves on the three-dimensional complex projective space with even and odd first Chern class. In both cases the second and third Chern classes are representable as polynomials in three integer variables. We establish the uПоказать полностьюniqueness of components in the series and describe the relations among these series and previous series of irreducible components. In the series we constructed by the authors in 2024, we find infinite subseries of rational components; these subseries are included into those constructed by Jardim, Markushevich, and Tikhomirov in 2017, as well as by Almeida, Jardim, and Tikhomirov in 2022 with the use of other constructions of series of components, for which Vassiliev established rationality in 2023. We give an example of moduli space with two irreducible components, one of which belongs to a series of components constructed in this article; while the other, to one previously known. We find the spectra of sheaves whose equivalence classes constitute these components.
Журнал: Siberian Mathematical Journal
Выпуск журнала: Т. 66, № 1
Номера страниц: 53-63
ISSN журнала: 00374466
Место издания: Moscow
Издатель: Pleiades Publishing, Ltd.