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On Volumes along Subvarieties of Line Bundles with Non-negative Kodaira-iitaka Dimension
| Content Provider | Semantic Scholar |
|---|---|
| Author | Pacienza, Gianluca Takayama, Shigeharu |
| Copyright Year | 2009 |
| Abstract | We study the restricted volume along subvarieties of line bundles with nonnegative Kodaira-Iitaka dimension. We compare it with a similar notion defined in terms of the asymptotic multiplier ideal sheaf, with which it coincides in the big case. We prove that the former is non-zero if and only if the latter is. Then we study inequalities between them and prove that if they coincide on every very general curve the line bundle must have zero Kodaira-Iitaka dimension or be big. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www-irma.u-strasbg.fr/~pacienza/Rest-vol-final.pdf |
| Alternate Webpage(s) | http://irma.math.unistra.fr/~pacienza/rest-vol-250309.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Hausdorff dimension |
| Content Type | Text |
| Resource Type | Article |
