I am looking for an origin of the picard groups. Unfortunately I cann't find a reference where this is mentionned. Does anybody know where the name comes from?
2025-01-13 05:20:31.1736745631
why are picard groups called picard groups
126 Views Asked by user28082 https://math.techqa.club/user/user28082/detail At
2
There are 2 best solutions below
1
On
According to wikipedia "The name is in honor of Émile Picard's theories, in particular of divisors on algebraic surfaces." I would assume one of the references on the page probably contains what you want.
Here is a (translated) quote from G. Castelnuovo, "Sur les intègrales de différentielles totales appartenant à une surface irrégulaière", Comptes rendus hebdomadaires des séances de l'Acadeémie des sciences, Paris. 140, 23 Jan 1905. pp. 220-222:
I have found this in Kleiman's "The Picard scheme", which contains some further historical remarks.