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- W3105455418 abstract "Let $X$ be a very general hypersurface of degree $d$ in $mathbb{P}^n$. We investigate positivity properties of the spaces $R_e(X)$ of degree $e$ rational curves in $X$. We show that for small $e$, $R_e(X)$ has no rational curves meeting the locus of smooth embedded curves. We show that for $n leq d$, there are no rational curves in the locus $Y subset X$ swept out by lines. And we exhibit differential forms on a smooth compactification of $R_e(X)$ for every $e$ and $n-2 geq d geq frac{n+1}{2}$." @default.
- W3105455418 created "2020-11-23" @default.
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- W3105455418 date "2020-05-29" @default.
- W3105455418 modified "2023-10-16" @default.
- W3105455418 title "Positivity results for spaces of rational curves" @default.
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- W3105455418 doi "https://doi.org/10.2140/ant.2020.14.485" @default.
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