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National Research University Higher School of EconomicsStudent ThesesDifferentials in the Brown-Gersten Spectral Sequence

Student
Title
Supervisor
Faculty
Educational Programme
Final Grade
Year of Graduation
Georgy Belousov
Differentials in the Brown-Gersten Spectral Sequence
Mathematics
(Bachelor’s programme)
2017
We study the Quillen (coniveau) spectral sequence for an algebraic variety from the perspective of the theory of algebraic cycles. For a possibly singular quasi-projective variety $X$ over a field we introduce certain modified Chern classes and use them to provide an expression for the differentials $d_2$ in the Quillen spectral sequence.

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