Second differentials in the Quillen spectral sequence

Georgy Belousov

Second differentials in the Quillen spectral sequence

K-Theory and Homology 2021-06-23 v2 Algebraic Geometry

Authors: Georgy Belousov

Abstract

For an algebraic variety $X$ we introduce generalized first Chern classes, which are defined for coherent sheaves on $X$ with support in codimension $p$ and take values in $CH^p(X)$ . We use them to provide an explicit formula for the differentials ${d_2^p: E_2^{p,-p-1} \to E_2^{p+2, -p-2} \cong CH^{p+2}(X)}$ in the Quillen spectral sequence.

Keywords

chern classes

Cite

@article{arxiv.1709.03616,
  title  = {Second differentials in the Quillen spectral sequence},
  author = {Georgy Belousov},
  journal= {arXiv preprint arXiv:1709.03616},
  year   = {2021}
}

Comments

8 pages; v.2: simplified proof of the main result, minor corrections in other sections

Second differentials in the Quillen spectral sequence

Abstract

Keywords

Cite

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