Projective bundle theorem in MW-motivic cohomology
Nanjun Yang
Yau Mathematical Sciences Center, Jing Zhai, Tsinghua University, Hai Dian District, Beijing, China
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Abstract
We present a version of projective bundle theorem in MW-motives (resp. Chow-Witt rings), which says that is determined by and for smooth quasi-projective schemes and vector bundles over with , provided that .
As an application, we compute the MW-motives of blow-ups with smooth centers. Moreover, we discuss the invariance of Chow-Witt cycles of projective bundles under automorphisms of vector bundles.
Cite this article
Nanjun Yang, Projective bundle theorem in MW-motivic cohomology. Doc. Math. 26 (2021), pp. 1045–1083
DOI 10.4171/DM/835