Timeline for Need any information about an affine lattice

6 events

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May 5, 2017 at 3:37	comment	added	მამუკა ჯიბლაძე		In terms of closure under sums, it is equivalent to define affine lattices as subsets closed under $(x,y,z)\mapsto x-y+z$ and finitely generated (in the appropriate sense)
May 5, 2017 at 3:36	comment	added	მამუკა ჯიბლაძე		Affine lattices occur frequently, but I am not sure which terminology for them is established. Simplest definition probably is that it is a shift by some vector of a lattice in the ordinary sense.
May 5, 2017 at 3:32	comment	added	მამუკა ჯიბლაძე		@JoeSilverman I would be interested to know about the case when the modulus differs from the dimension but the case when they are equal suffices for me. It is sort of minimal.
May 4, 2017 at 21:32	history	edited	Henry.L		edited tags
May 4, 2017 at 20:39	comment	added	Joe Silverman		Two questions. First, you are using $n$ for both the dimension of your space and for the modulus. I'll assume that's a mistake and let $m$ denote the modulus. Second, what do you mean by an "affine lattice"? Your set is clearly not a subgroup of $\mathbb Z^n$, so not a lattice. For example, for $n=2$, the points $(1,0)$ and $(0,1)$ are in your set, but their sum is not.
May 4, 2017 at 19:49	history	asked	მამუკა ჯიბლაძე	CC BY-SA 3.0