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Results tagged with divisors
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user 4008
For questions related to divisors in the sense of algebraic geometry (Cartier divisors, Weil divisors and so on). For question on divisors in the number theoretic sense please use the tag divisors-multiples.
12
votes
Accepted
Special divisors on hyperelliptic curves
Suppose that $D=x_1+x_2+\cdots+x_{g-1}$. We may assume that $\tau(x_i)\neq x_j$
for all $i\neq j$. Now, assume that $D'=y_1+\cdots+y_{g-1}$ is an element of
$|K-D|$. Then $x_1+x_2+\cdots+x_{g-1}+y_1+\ …
- 22.6k
7
votes
Accepted
Terminology issue: meaning of 'ample class' ?
Charles' and Pete's answer are (almost) the same: First there is a map
$\mathrm{dlog}\colon \mathcal{O}_X^\ast \rightarrow \Omega^1_X$ taking $f$ to
$df/f$ (just to show that it also makes algebraic s …
- 22.6k
26
votes
Accepted
Which 'well-known' algebraic geometric results do not hold in characteristic 2?
I am not going to add any new examples but suggest a systematic way of looking at examples. If one looks at special phenomena in characteristic $2$ one can classify them as follows (though this divisi …
- 22.6k