اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدOdd-dimensional cohomology with finite coefficients and roots of unity
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تأليف
Yuri G. Zarhin
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We prove that the triviality of the Galois action on the suitably twisted odd-dimensional etale cohomogy group of a smooth projective varietiy with finite coefficients implies the existence of certain primitive roots of unity in the field of definition of the variety. This text was inspired by an exercise in Serres Lectures on the Mordell--Weil theorem.
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