NOTES ON TORIC VARIETIES FROM MORI THEORETIC VIEWPOINT, II

We give new estimates of lengths of extremal rays of birational type for toric varieties. We can see that our new estimates are the best by constructing some examples explicitly. As applications, we discuss the nefness and pseudo-effectivity of adjoint bundles of projective toric varieties. We also...

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Published inNagoya mathematical journal Vol. 239; pp. 42 - 75
Main Authors FUJINO, OSAMU, SATO, HIROSHI
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.09.2020
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Summary:We give new estimates of lengths of extremal rays of birational type for toric varieties. We can see that our new estimates are the best by constructing some examples explicitly. As applications, we discuss the nefness and pseudo-effectivity of adjoint bundles of projective toric varieties. We also treat some generalizations of Fujita’s freeness and very ampleness for toric varieties.
Bibliography:ObjectType-Article-1
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content type line 14
ISSN:0027-7630
2152-6842
DOI:10.1017/nmj.2018.27