Abstract
Let be a very general hypersurface of degree in . We investigate positivity properties of the spaces of degree rational curves in . We show that for small , has no rational curves meeting the locus of smooth embedded curves. We show that for , there are no rational curves other than lines in the locus swept out by lines. We exhibit differential forms on a smooth compactification of for every and .
Citation
Roya Beheshti. Eric Riedl. "Positivity results for spaces of rational curves." Algebra Number Theory 14 (2) 485 - 500, 2020. https://doi.org/10.2140/ant.2020.14.485
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