Local effectivity in projective spaces
| Autor: | Dumnicki, Marcin, Szemberg, Tomasz, Szpond, Justyna |
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| Rok vydání: | 2018 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this note we introduce a Waldschmidt decomposition of divisors which might be viewed as a generalization of Zariski decomposition based on the effectivity rather than the nefness of divisors. As an immediate application we prove a recursive formula providing new effective lower bounds on Waldschmidt constants of very general points in projective spaces. We use these bounds in order to verify Demailly's conjecture in a number of new cases. Comment: 17 pages, initial submission, comments welcome |
| Databáze: | arXiv |
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