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- W4309208295 abstract "Based on the celebrated result on zeros of holomorphic 1-forms on complex varieties of general type by Popa and Schnell, we study holomorphic 1-forms on $n$-dimensional varieties of Kodaira dimension $n-1$. We show that a complex minimal smooth projective variety $X$ of Kodaira dimension $kappa(X)=dim X-1$ admits a holomorphic 1-form without zero if and only if there is a smooth morphism from $X$ to an elliptic curve. Furthermore, for a general smooth projective variety (not necessarily minimal) $X$ of Kodaira codimension one, we give a structure theorem for $X$ given that $X$ admits a holomorphic 1-form without zero." @default.
- W4309208295 created "2022-11-24" @default.
- W4309208295 creator A5058687102 @default.
- W4309208295 date "2022-11-15" @default.
- W4309208295 modified "2023-09-27" @default.
- W4309208295 title "Nowhere vanishing holomorphic one-forms on varieties of Kodaira codimension one" @default.
- W4309208295 doi "https://doi.org/10.48550/arxiv.2211.08045" @default.
- W4309208295 hasPublicationYear "2022" @default.
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