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- W3213185612 abstract "We show that if $X$ is a projective hyperkahler fourfold and there exists a nonzero effective divisor $D$ which is not of bi-elliptic type and contained in the boundary of the nef cone of $X$, then $X$ contains a rational curve. This is a very special case of Oguiso's conjecture for projective hyperkahler fourfolds." @default.
- W3213185612 created "2021-11-22" @default.
- W3213185612 creator A5024080175 @default.
- W3213185612 date "2021-11-07" @default.
- W3213185612 modified "2023-09-25" @default.
- W3213185612 title "On the existence of rational curves on projective hyperkahler fourfolds" @default.
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- W3213185612 doi "https://doi.org/10.48550/arxiv.2111.04270" @default.
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