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Results tagged with divisors
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user 132003
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.
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Iitaka dimension of a $\mathbb{Q}$-Cartier Prime divisor
Let $X$ be a normal projective variety and $D$ a prime divisor such that $mD$ is Cartier for some integer $m>0$.
Suppose $H^1(X,\mathcal{O}_X)=0$ and $mD|_D\sim 0$.
My questions are the following:
M …
- 85
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Restriction of a Cartier divisor
Since $C$ and $D$ have no common component, $D|_C$ is an effective (nef) Cartier divisor (just by the definition of effective Cartier divisor, the restriction of the rational function of $D|_{U_i}$ on …
- 85