Generalized Nonvanishing Conjecture and Iitaka Conjecture
In this article, we will prove the Generalized Nonvanishing Conjecture holds for threefolds with either $\kappa>0$ or $q>0$. As a result, we can prove the Iitaka conjecture $C_{n,m}$ holds for $n=7$ if the source space has non-negative Kodaira dimension, if the general fibre has positive Kodai...
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| creator | Chang, Chi-Kang |
| description | In this article, we will prove the Generalized Nonvanishing Conjecture holds
for threefolds with either $\kappa>0$ or $q>0$. As a result, we can prove the
Iitaka conjecture $C_{n,m}$ holds for $n=7$ if the source space has
non-negative Kodaira dimension, if the general fibre has positive Kodaira
dimension, or if the base space is not threefold with $\kappa=q=0$. In
particular, $C^-_{n,m}$ holds if $n\leq 7$. |
| doi_str_mv | 10.48550/arxiv.2312.04015 |
| format | Article |
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for threefolds with either $\kappa>0$ or $q>0$. As a result, we can prove the
Iitaka conjecture $C_{n,m}$ holds for $n=7$ if the source space has
non-negative Kodaira dimension, if the general fibre has positive Kodaira
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for threefolds with either $\kappa>0$ or $q>0$. As a result, we can prove the
Iitaka conjecture $C_{n,m}$ holds for $n=7$ if the source space has
non-negative Kodaira dimension, if the general fibre has positive Kodaira
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for threefolds with either $\kappa>0$ or $q>0$. As a result, we can prove the
Iitaka conjecture $C_{n,m}$ holds for $n=7$ if the source space has
non-negative Kodaira dimension, if the general fibre has positive Kodaira
dimension, or if the base space is not threefold with $\kappa=q=0$. In
particular, $C^-_{n,m}$ holds if $n\leq 7$.</abstract><doi>10.48550/arxiv.2312.04015</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Algebraic Geometry |
| title | Generalized Nonvanishing Conjecture and Iitaka Conjecture |
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