2015
DOI: 10.48550/arxiv.1503.00125
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All complete intersection varieties are Fano visitors

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“…In [35], the authors proved the following. Moreover, they defined the Fano dimension of a smooth projective variety Y as the minimum dimension of Fano hosts X of Y .…”
Section: Introductionmentioning
confidence: 92%
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“…In [35], the authors proved the following. Moreover, they defined the Fano dimension of a smooth projective variety Y as the minimum dimension of Fano hosts X of Y .…”
Section: Introductionmentioning
confidence: 92%
“…Then we have the inequality of Hodge numbers p−q=i h p,q (Y ) ≤ p−q=i h p,q (X) for all i.As a direct consequence, we obtain the following.Corollary 1.4. (Corollary 4.9) If h n,0 (Y ) = 0 for n = dim Y > 0, then the Fano dimension of Y is at least n + 2.Combining this corollary with the Fano host construction in [35], we obtain the following.…”
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confidence: 87%
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