Open Access𝐾₂ of certain families of plane quartic curves
Author(s) -
Huan Liu,
Shan Chang
Publication year - 2018
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/13963
Subject(s) - quartic function , mathematics , limit (mathematics) , quartic surface , quartic plane curve , plane (geometry) , kernel (algebra) , mathematical analysis , pure mathematics , construct (python library) , symbol (formal) , geometry , computer science , programming language
We construct three elements in the kernel of the tame symbol on families of quartic curves. We show that these elements are integral under certain conditions on the parameters. Moreover, we prove that these elements are in general linearly independent by calculating the limit of the regulator.