Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with algebraic-surfaces
Search options not deleted
user 8621
An algebraic surface is an algebraic variety of dimension two. In the case of geometry over the field of complex numbers, an algebraic surface has complex dimension two (as a complex manifold, when it is non-singular) and so of dimension four as a smooth manifold.
4
votes
Accepted
Is there a description of the moduli space of elliptic surfaces?
For the case with section and $q=0$ see
http://www.math.colostate.edu/~miranda/preprints/weierstrassfibrations.pdf
A similar construction should work in the case (with section, $q$ fixed and $p_g$ su …
- 3,338
4
votes
Accepted
Mordell-Weil Group of Elliptic Surface
1):
Suppose we work over an arbitrary field $K$ and suppose $\pi: X\to \mathbb{P}^1$ is an elliptic fibration with a torsion section of order $n$. Then you obtain a natural classification map $\mathbb …
- 3,338
4
votes
Accepted
Question on K3 Surface
I slightly disagree with Tony's answer:
If you want to obtain a smooth K3 surface you need to pick a ramification divisor that is smooth and is linear equivalent to twice the anti-canonical class. I …
- 3,338
4
votes
Does there exist a holomorphic fibration of genus two over $\mathbb{P}^{1}$ with $7$ nodal s...
Let $S$ be the product $C\times \mathbb{P}^1$, with $C$ a genus two curve. Take points $p_1,\dots,p_7\in S$ in seven distinct fibers. Now blow-up $S$ in the points $p_1,\dots,p_7$. Then the induced fi …
- 3,338
6
votes
Accepted
Elliptic fibrations with few singular fibers
Consider first an elliptic fibration with a section over $\mathbb{P}^1$. (In this case none of the singular fibers are multiples of smooth curves.)
Assume that the minimal discriminant has degree $12 …
- 3,338