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Dec
17
reviewed Leave Open Decide if a stack of overhanging blocks is stable
Dec
17
reviewed Leave Open Find dimension and tangent space of manifold $M = \{(p_1,p_2,p_3)\in \mathbb{R^3}: p_1^2-p_2^2+p_1p_3-2p_2p_3=0, 2p_1-p_2+p_3=3\}$
Dec
17
reviewed Approve find the relation between $A$ and $G$.
Nov
25
comment Sheaf of regular functions
Actually, that (the second paragraph) was the way I wanted to define the regular function but thought I lacked space in the comments. Thanks for the answer though!
Nov
25
accepted Sheaf of regular functions
Nov
25
comment Sheaf of regular functions
@MarianoSuárez-Alvarez There is only one function $\emptyset\to k$. A regular function on $U$ is a rational function that is well-defined at all points of $U$.
Nov
25
comment Sheaf of regular functions
@EricWofsey i'm taking it to be irreducible.
Nov
25
revised Sheaf of regular functions
added 98 characters in body
Nov
25
comment Sheaf of regular functions
@EricWofsey $X$ is an affine variety. $O_X$ is the set of rings $O_X(U)$ of regular functions on open subsets of $X$. Sorry for the confusion
Nov
25
revised Sheaf of regular functions
added 33 characters in body
Nov
25
asked Sheaf of regular functions
Nov
24
accepted Chinese Remainder theorem on Elliptic Curve group
Nov
24
reviewed Reject Modulo arithmetic with big numbers?
Apr
28
reviewed Leave Open showing that $\Phi:\Pi_{1}(X,x_{0})\rightarrow [S^{1},X]$ is onto if $X$ is path connected.
Apr
28
comment Chinese Remainder theorem on Elliptic Curve group
But $3$ is not invertible in $\mathbb{Z}/15\mathbb{Z}$.
Apr
28
comment Chinese Remainder theorem on Elliptic Curve group
But $[0:2:3]$ is a projective point in $E(\mathbb{F}_5)$ and not equal to any of the affine points nor the identity. I'm not really sure what to make of the projective points to be honest. What would you do with the point $[0:0:3]$? Thanks for your input so far by the way.
Apr
28
comment Chinese Remainder theorem on Elliptic Curve group
I took it to be solutions to the following equation $y^2z=x^3+axz^2+bz^3\pmod{15}$ and not including $[0:0:0]$. "We define a natural group law on such curves ($E(\mathbb{Z}/N\mathbb{Z})$), although one usually gives these in terms of projective coordinates so as to cope with the occurrence of zero divisors."
Apr
28
revised Chinese Remainder theorem on Elliptic Curve group
added 152 characters in body
Apr
28
answered Chinese Remainder theorem on Elliptic Curve group
Apr
28
revised Chinese Remainder theorem on Elliptic Curve group
added 48 characters in body