bio | website | math.purdue.edu/~dvb |
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location | ||
age | ||
visits | member for | 5 years, 5 months |
seen | 14 mins ago | |
stats | profile views | 17,577 |
Jul 29 |
awarded | Good Answer |
Jul 29 |
comment |
Genus of a plane curve of the form $\prod_{i=1}^n (a_iX+b_iY+Z) = Z^n$
It depends on whether genus means arithmetic or geometric genus. Of course, you and probably the OP mean the latter. |
Jul 28 |
awarded | Nice Answer |
Jul 27 |
awarded | Nice Answer |
Jul 26 |
comment |
Relationship between étale and topological $K(\pi,1)$s
Yes, I believe 2 and 3 are still open. Serre, in one of his books, asked explicitly whether the Higman group occurs as the fundamental group of a smooth projective variety. If so, it would provide a counterexample to 2. I'm not aware of any progress on this. |
Jul 26 |
comment |
Relationship between étale and topological $K(\pi,1)$s
It's kind of a shame that the name "good group" seems to have stuck. Given the large community of mathematicians here, I wonder if can vote to change it to something more else. How about "Serre group"? |
Jul 26 |
revised |
Relationship between étale and topological $K(\pi,1)$s
added 323 characters in body |
Jul 26 |
comment |
Relationship between étale and topological $K(\pi,1)$s
The point of going to level $\ge 3$ is that $\Gamma(n)$ acts without fixed points, so you can use the usual $\pi_1$. |
Jul 25 |
answered | Relationship between étale and topological $K(\pi,1)$s |
Jul 25 |
comment |
Relationship between étale and topological $K(\pi,1)$s
I strongly suspect that the main question is false, but I'll need to think more about it. There is a typo in 2 by the way. 2 and 3 are open as far as I know. Although there exists smooth projective varieties with non residually finite fundamental groups (Toledo,...). |
Jul 24 |
revised |
Intuition behind the Kodaira Vanishing Theorem?
added 361 characters in body |
Jul 23 |
revised |
Intuition behind the Kodaira Vanishing Theorem?
edited body |
Jul 23 |
answered | Intuition behind the Kodaira Vanishing Theorem? |
Jul 21 |
awarded | Nice Answer |
Jul 18 |
awarded | Nice Answer |
Jul 11 |
awarded | Guru |
Jul 8 |
awarded | Enlightened |
Jul 7 |
awarded | Nice Answer |
Jul 6 |
revised |
About Abhyankar's conjecture
added 6 characters in body |
Jul 6 |
answered | About Abhyankar's conjecture |