Timeline for A basis of holomorphic differentials on Fermat curves

11 events

when toggle format	what		by	license	comment
May 31, 2021 at 21:17	vote	accept	yyc
May 31, 2021 at 20:33	answer	added	dhy		timeline score: 6
May 31, 2021 at 15:35	comment	added	yyc		@dhy: Thank you, that is very simple. I have been meaning to learn more about representation theory. If you want to turn it into an answer I will accept.
May 31, 2021 at 7:19	comment	added	dhy		I suspect what Hidalgo has in mind is the following representation-theoretic argument (which can also be rephrased in elementary terms): The automorphisms $a_1,a_2,a_3$ are part of a $\mathbb{Z}/p\mathbb{Z}\times\mathbb{Z}/p\mathbb{Z}$ action. The pullback formula tells you that each $\theta_{r,\alpha}$ generates a character (1-dim representation) of the group, and the characters corresponding to different $(r,\alpha)$ are different. Therefore there can be no nontrivial relations between them. I don't really see why the divisor formula is necessary though.
May 31, 2021 at 4:52	history	edited	yyc	CC BY-SA 4.0	deleted 11 characters in body
May 31, 2021 at 4:41	review	Close votes
Jun 5, 2021 at 3:03
May 31, 2021 at 4:14	history	edited	yyc	CC BY-SA 4.0	edited body
May 31, 2021 at 3:55	history	edited	yyc	CC BY-SA 4.0	added 109 characters in body
May 31, 2021 at 3:39	history	edited	yyc	CC BY-SA 4.0	added 33 characters in body
May 31, 2021 at 3:31	review	First posts
May 31, 2021 at 4:06
May 31, 2021 at 3:27	history	asked	yyc	CC BY-SA 4.0