Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2022

Идентификатор DOI: 10.33048/semi.2022.19.036

Ключевые слова: chern classes, ein component, modied instanton bundles, stable vector bundle

Аннотация: We obtain formulas in the explicit form for the spectra of a family of stable rank 2 vector bundles on P3 which isomorphism classes constitute the so-called Ein components in the Gieseker-Maruyama moduli scheme.We also obtain formulas in the explicit form for dimensions of the moduli space of the modi-ed instanton bundles, and for their spectra.We show that Vedernikov and Hartshorne families in the Gieseker-Maruyama moduli scheme are particular cases of the Ein components. © 2022. Кытманов А.А., Осипов H.H., Тихомиров С.А., Зыкова Т.В. Работа поддержана РНФ (грант 18-71-10007-П).

Журнал: Siberian Electronic Mathematical Reports

Выпуск журнала: Vol. 19, Is. 2

Номера страниц: 415-425

ISSN журнала: 18133304

Издатель: Sobolev Institute of Mathematics

• Кытманов А.А. (Siberian Federal University, 79,Svobodny ave., Krasnoyarsk, 660041, Russian Federation, Laboratory of Artificial Intelligence, Neurotechnology, and Business Analytics, Plekhanov Russian University of Economics, 36,Stremyanny lane, Moscow, 117997, Russian Federation)
• Осипов Н.Н. (Nikolay Nikolaevich Osipov Siberian Federal University, 79,Svobodny ave., Krasnoyarsk, 660041, Russian Federation)
• Тихомиров С.А. (Sergey Alexandrovich Tikhomirov K.D. Ushinsky Yaroslavl State Pedagogical University, 108,Respublikanskaya str., Yaroslavl, 150000, Russian Federation)
• Зыкова T.В. (Tatiana Viktorovna Zykova Siberian Federal University, 79,Svobodny ave., Krasnoyarsk, 660041, Russian Federation)

• Scopus