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Manos
  • Member for 10 years, 11 months
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10 answers
131 votes
6k views
75 bookmarks
what is expected from a PhD student?
20 answers
127 votes
87k views
71 bookmarks
Real life applications of Topology
4 answers
73 votes
91k views
23 bookmarks
Graph theory: adjacency vs incident
10 answers
67 votes
9k views
37 bookmarks
Is memory unimportant in doing mathematics?
5 answers
55 votes
20k views
50 bookmarks
What are the required backgrounds of Robin Hartshorne's Algebraic Geometry book?
9 answers
53 votes
40k views
10 bookmarks
Why can't a set have two elements of the same value?
3 answers
50 votes
28k views
25 bookmarks
When is the closure of an intersection equal to the intersection of closures?
4 answers
36 votes
12k views
19 bookmarks
Structure of ideals in the product of two rings
5 answers
34 votes
5k views
31 bookmarks
Is $\operatorname{height} \mathfrak{p} + \dim A / \mathfrak{p} = \dim A$ true?
4 answers
33 votes
9k views
36 bookmarks
Meaning of closed points of a scheme
4 answers
31 votes
33k views
19 bookmarks
Pure Mathematics Vs Applied Mathematics Job Prospects
2 answers
31 votes
5k views
33 bookmarks
How should I think about very ample sheaves?
1 answer
30 votes
9k views
24 bookmarks
Scheme of finite type over a field $K$ v.s. $K$-scheme
4 answers
30 votes
8k views
6 bookmarks
Plücker Relations
1 answer
30 votes
4k views
32 bookmarks
Using the cocycle condition to glue sheaves
2 answers
27 votes
7k views
26 bookmarks
Tensor product of domains is a domain
1 answer
24 votes
4k views
21 bookmarks
Do localization and completion commute?
5 answers
24 votes
3k views
8 bookmarks
Why doesn't $d(x_n,x_{n+1})\rightarrow 0$ as $n\rightarrow\infty$ imply ${x_n}$ is Cauchy?
2 answers
23 votes
7k views
18 bookmarks
Inverse limit of modules and tensor product
2 answers
22 votes
2k views
12 bookmarks
$\mathcal{L}$ is very ample, $\mathcal{U}$ is generated by global sections $\Rightarrow$ $\mathcal{L} \otimes \mathcal{U}$ is very ample
2 answers
22 votes
9k views
10 bookmarks
CW complex structure of the projective space $\mathbb{RP}^n$
2 answers
22 votes
5k views
9 bookmarks
Is the radical of a homogeneous ideal of a graded ring homogeneous?
2 answers
22 votes
4k views
31 bookmarks
How to compute the topological space of fibered product of schemes?
5 answers
20 votes
4k views
23 bookmarks
Localisation is isomorphic to a quotient of polynomial ring
4 answers
19 votes
3k views
13 bookmarks
Pullback commutes with dual for locally free sheaf of finite rank
2 answers
19 votes
2k views
8 bookmarks
Hartshorne Ex. II 1.16 b) Flasque sheaves and exact sequences
2 answers
19 votes
3k views
16 bookmarks
Stalks of the tensor product presheaf of two sheaves
3 answers
19 votes
1k views
5 bookmarks
Hartshorne Theorem 8.17
2 answers
18 votes
2k views
13 bookmarks
Why is it so difficult to find beginner books in Algebraic Geometry?
3 answers
18 votes
3k views
11 bookmarks
Prime spectrum of a ring, understanding geometry