Timeline for Equivariant projective embeddings with optimal dimension
Current License: CC BY-SA 4.0
5 events
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Mar 24 at 11:13 | comment | added | Misha Verbitsky | This is why I was talking about finite maps! The idea is to take a finite quotient, and then an embedding. Though the cyclic group cannot act by permutation of the factors, and I was asking about the cyclic group action, so I am not sure we cannot have an embedding. | |
Mar 23 at 11:50 | comment | added | Nick L | @Sasha thanks, yes, I realized this and thus deleted. If anyone is interested the (wrong) example was taking f to be the automorphism of $\mathbb{P}^1 \times \ldots \times \mathbb{P}^1$ given by a cyclic permutation of the factors. | |
Mar 23 at 10:46 | comment | added | Sasha | @NickL: In this example the standard equivariant embedding goes to a projective space of dimension $2^n-1$. But it has many invariant projective subspaces, and it could be that projecting out of one of these you could obtain a smaller embedding. P.S. This is a reply to a comment that was here, but disappeared while I was typing... | |
Mar 23 at 10:12 | answer | added | Nick L | timeline score: 1 | |
Mar 22 at 19:21 | history | asked | Misha Verbitsky | CC BY-SA 4.0 |