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Peer-reviewedCC BYJournal of the Institute of Mathematics of Jussieu

CHERN CLASSES FROM MORAVA K-THEORIES TO P N PN upper P Superscript upper N-TYPICAL ORIENTED THEORIES

  • Pavel Sechin1
  1. 1University of Regensburg
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Abstract

We study non-additive operations from algebraic Morava K-theories to oriented cohomology theories in algebraic geometry. For oriented cohomology theory A A upper A that has a p n pn p Superscript n -typical formal group law over a Z ( p ) ℤ(p) double struck upper Z Subscript left parenthesis p right parenthesis -algebra we construct ‘Chern classes’ from the algebraic n n n -th Morava K-theory with p p p -local coefficients to A A upper A . If the coefficient ring of A A upper A is a free Z ( p ) ℤ(p) double struck upper Z Subscript left parenthesis p right parenthesis -module we also prove that these Chern classes freely generate all operations from

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Cite

BibTeXRIS
BibTeX
@article{sechin2026chern,
  title = {{CHERN CLASSES FROM MORAVA K-THEORIES TO P N $P^N$ upper P Superscript upper N-TYPICAL ORIENTED THEORIES}},
  author = {Pavel Sechin},
  journal = {Journal of the Institute of Mathematics of Jussieu},
  year = {2026},
  month = sep,
  doi = {10.1017/s1474748026101923},
  url = {https://doi.org/10.1017/s1474748026101923},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - CHERN CLASSES FROM MORAVA K-THEORIES TO P N P^N upper P Superscript upper N-TYPICAL ORIENTED THEORIES
AU  - Pavel Sechin
PY  - 2026
DA  - 2026/09/23
JO  - Journal of the Institute of Mathematics of Jussieu
DO  - 10.1017/s1474748026101923
UR  - https://doi.org/10.1017/s1474748026101923
AB  - We study non-additive operations from algebraic Morava K-theories to oriented cohomology theories in algebraic geometry. For oriented cohomology theory A A upper A that has a p n p^n p Superscript n -typical formal group law over a Z ( p ) ℤ_(p) double struck upper Z Subscript left parenthesis p right parenthesis -algebra we construct ‘Chern classes’ from the algebraic n n n -th Morava K-theory with p p p -local coefficients to A A upper A . If the coefficient ring of A A upper A is a free Z ( p ) ℤ_(p) double struck upper Z Subscript left parenthesis p right parenthesis -module we also prove that these Chern classes freely generate all operations from
SN  - 1474-7480
SN  - 1475-3030
ER  -