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: http://www.mccme.ru/poncelet/2012arithmdays/talks/budylin.html
Дата изменения: Sat Mar 31 00:55:18 2012 Дата индексирования: Mon Feb 4 19:25:20 2013 Кодировка: Windows-1251 Поисковые слова: п п п п п |
Conference "Arithmetic Days"5 - 6 April, 2012Moscow, Russia |
Organizers: Ivan Fesenko (University of Notingham), Igor Zhukov (St. Petersburg State University), Alexey Zykin (HSE, IITP).
Friday 6 April, 10:00-11:00
Bloch proves that the second Chern class of a vector bundle with trivial determinant can be obtained by boundary homomorphism for the universal central extension of the sheaf SL(O_X). I use this construction to get an adelic formula for the second Chern class in terms of trivializations in scheme points. I also introduce some extension of St(A) for any ring A by diagonal matrices which allows us to generalize Bloch formula to vector bundles with general determinant. We will also be discuss a generalization of Bloch formula for all c_n of vector bundles with c_i=0, i