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Jul
5
revised Projection is an open map
Fixed a serious mistake
Jun
23
awarded  Nice Answer
Jun
21
comment Matrix of linear forms
It might be good to explain what the notation $I_a(M)$ precisely means. Is it the ideal generated by the entries of $M$? Why is there an $a$ in the index, if it already depends on $M$?
Jun
16
comment When $f(I)S=S$ for each ideal $I$ of $R$?
@user1: I tried to make my answer more comprehensible. Is this better?
Jun
16
revised When $f(I)S=S$ for each ideal $I$ of $R$?
added 475 characters in body
Jun
14
answered When $f(I)S=S$ for each ideal $I$ of $R$?
Jun
11
comment When does the regularity of $A$ implies the regularity of $A[w]$?
@user237522: I added an explanation of "unramified". I am not sure how easy that is to check, though.
Jun
11
revised When does the regularity of $A$ implies the regularity of $A[w]$?
added 356 characters in body
Jun
11
revised When does the regularity of $A$ implies the regularity of $A[w]$?
added 527 characters in body
Jun
11
answered When does the regularity of $A$ implies the regularity of $A[w]$?
Jun
9
revised Better understanding regular functions on a Projective variety
added 14 characters in body
Jun
5
answered Isomorphic projective subvarieties, non-isomorphic rings
Jun
5
revised Blow-up of pair of intersecting lines
deleted 47 characters in body
Jun
5
answered Blow-up of pair of intersecting lines
Jun
4
comment A categorical approach to algebraic geometry
I haven't read it, but you might have a look at Categories and Sheaves by Masaki Kashiwara and Pierre Schapira. It seems to contain lots of the stuff you want.
Jun
2
awarded  Yearling
May
21
revised Zeroes of prime polynomials in the algebraic torus (A Hilbert's Nullstellensatz for Laurent polynomials?)
added 213 characters in body
May
21
comment Zeroes of prime polynomials in the algebraic torus (A Hilbert's Nullstellensatz for Laurent polynomials?)
You are, of course, completely correct. Regarding your second thing, I missed the "different" ... so yea, you are right about that, too.
May
21
answered Zeroes of prime polynomials in the algebraic torus (A Hilbert's Nullstellensatz for Laurent polynomials?)
May
20
comment Can someone illustrate the definition of manifold with a simple example?
The most classical example would be the sphere in $\mathbb R^3$. For any point $x$, you can pick the point opposite to it $y$ and use the stereographic projection map to identify $M\setminus\{y\}$ with $\mathbb R^2$.