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Nov
26
comment Visulizing column/row space and null/left null space, A and x
I didn't understand what you want!
Nov
23
comment Cohomology groups of coherent sheaves for very small and very big twists.
I searched it, and the theorem says there is $m_0$ such that for all $m \geq m_0$ we have $\mathcal{F}(m)= \mathcal{O}(m) \otimes \mathcal{F}$ is globally generated, and your answer is exactly that by induction. I wish that you recommend me a book to source to read how globally generating would imply that $\mathcal{F}(m)=0$.
Nov
23
comment Cohomology groups of coherent sheaves for very small and very big twists.
Thanks Alex for comments, I will follow them, but I have a question, is $m$ in your comment unique, and does $\mathcal{O}(m)\otimes \mathcal{F}$ globally generated implies that $\mathcal{O}(m+1) \otimes \mathcal{F}$ is globally generated. because one asks what if $m$ in your comment is less than $d$ for which $h^0\mathcal{F}(d)= 0$.
Nov
23
comment Cohomology groups of coherent sheaves for very small and very big twists.
Answering the question above will help to answer my previous question. math.stackexchange.com/questions/1032287/…
Aug
31
comment definition of Krull dimension of a module
dim(M)= dim( Supp (M)) as an algebraic variety in Spec(R)
Oct
20
comment Using Janet Basis to solve a nonlinear polynomial system
May be this website could help you wwwb.math.rwth-aachen.de/Janet/index.html , the course is called computer algebra, but written in German, and it is unfortunately not available online.
Sep
14
comment Using Janet Basis to solve a nonlinear polynomial system
I am looking to understand what is the relation between all these concepts, as answer to your question would like to say all solutions including complex solutions.
Jun
18
comment How many irreducible factors of grade $6$ there is in $\mathbb{F}_{2}\left[ x\right]$?
Thanks, this is interesting, but still would like to know how could the hint above lead to solve the question.
Apr
27
comment Finding the smallest integer $n$ such that $1+1/2+1/3+…+1/n≥9$?
Very nice, thanks a lot.
Feb
28
comment Fundamental group of the Klein bottle, using action of a group?
this is very nice, thanks a lot.
Oct
19
comment G is a topological group acts on topological space $X$, is $f_{g}:X\rightarrow X, x\rightarrow g*x$ continuous?
yes, actually $\phi:G\times X \rightarrow X$ is continuous, but how can we prove that $f_{g}:X\rightarrow X$ defined above is continuous
May
30
comment The relation between betti numbers and Tor functor?
sorry, it is R.
Apr
20
comment generators of alternating groups?
yes there is a theorem says that $A_{n}=<(123),(234),(345),......((n-2)(n-1)n)> $ from this theorem we can say that $A_{4}=<x=(123),y=(234),z=(345)>$ \\ it is clear $x=a$, and $z=a^{-1}b$, so one just need to know how y could be written in terms of a,b.