Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

On the K_4 group of modular curves

Abstract : We construct elements in the group K_4 of modular curves using the polylog-arithmic complexes of weight 3 defined by Goncharov and de Jeu. The construction is uniform in the level and makes use of new modular units obtained as cross-ratios of division values of the Weierstraß P-function. These units provide explicit triangulations of the Manin 3-term relations in K_2 of modular curves, which in turn gives rise to elements in K_4. Based on numerical computations and on recent results of Weijia Wang, we conjecture that these elements are proportional to the Beilinson elements defined using the Eisenstein symbol.
Complete list of metadata

Cited literature [29 references]  Display  Hide  Download
Contributor : François Brunault Connect in order to contact the contributor
Submitted on : Wednesday, November 18, 2020 - 3:32:55 PM
Last modification on : Friday, September 30, 2022 - 3:55:32 AM
Long-term archiving on: : Friday, February 19, 2021 - 8:04:45 PM


Files produced by the author(s)


  • HAL Id : ensl-03012466, version 1


François Brunault. On the K_4 group of modular curves. 2020. ⟨ensl-03012466v1⟩



Record views


Files downloads