On partially ample divisors

Sung Rak Choi

doi:10.1002/mana.201300116

On partially ample divisors

Sung Rak Choi

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Partially ample divisors are defined by relaxing the different conditions that characterize the ample divisors. We prove that for nef and big divisors such notions coincide. We also prove that the partial ampleness of big divisors are preserved in the positive parts of the Fujita-Zariski decomposition.

Original language	English
Pages (from-to)	1632-1641
Number of pages	10
Journal	Mathematische Nachrichten
Volume	287
Issue number	14-15
DOIs	https://doi.org/10.1002/mana.201300116
Publication status	Published - 2014 Oct 1

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1002/mana.201300116

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abstract = "Partially ample divisors are defined by relaxing the different conditions that characterize the ample divisors. We prove that for nef and big divisors such notions coincide. We also prove that the partial ampleness of big divisors are preserved in the positive parts of the Fujita-Zariski decomposition.",

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