Some Arithmetic Properties of Complex Local Systems
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Some Arithmetic Properties of Complex Local Systems. / Esnault, Hélène.
In: Notices of the American Mathematical Society, Vol. 70, No. 11, 2023, p. 1793-1801.Research output: Contribution to journal › Comment/debate › Research › peer-review
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TY - JOUR
T1 - Some Arithmetic Properties of Complex Local Systems
AU - Esnault, Hélène
PY - 2023
Y1 - 2023
N2 - This small text was written for the AMS Notices. It is a survey of integrality properties of complex local systems, where I tried to single out one example which is not entirely explicit in the literature. The focus is on the obstruction it yields for a finitely presented group to be the topological fundamental group of a connected smooth quasi-projective complex variety. I thank Johan de Jong, Michael Groechenig, and Moritz Kerz.The material in this expository note relies on joint work or discussions with them.This version: I have tried several times to make the AMS bib file compatible with the arXiv requirement, it never worked..., today it seems to do!
AB - This small text was written for the AMS Notices. It is a survey of integrality properties of complex local systems, where I tried to single out one example which is not entirely explicit in the literature. The focus is on the obstruction it yields for a finitely presented group to be the topological fundamental group of a connected smooth quasi-projective complex variety. I thank Johan de Jong, Michael Groechenig, and Moritz Kerz.The material in this expository note relies on joint work or discussions with them.This version: I have tried several times to make the AMS bib file compatible with the arXiv requirement, it never worked..., today it seems to do!
U2 - 10.1090/noti2830
DO - 10.1090/noti2830
M3 - Comment/debate
AN - SCOPUS:85176731855
VL - 70
SP - 1793
EP - 1801
JO - Notices of the American Mathematical Society
JF - Notices of the American Mathematical Society
SN - 0002-9920
IS - 11
ER -
ID: 389415565