Canonical singularities on moduli spaces of rational curves via the circle method

By developing a suitable version of the circle method, we show that the space of degree $e$ rational curves on a smooth hypersurface of degree $d$ has only canonical singularities provided its dimension is sufficiently large with respect to $e$ and $d$.

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1. Verfasser: Glas, Jakob
Format: Artikel
Sprache:eng
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Zusammenfassung:By developing a suitable version of the circle method, we show that the space of degree $e$ rational curves on a smooth hypersurface of degree $d$ has only canonical singularities provided its dimension is sufficiently large with respect to $e$ and $d$.
DOI:10.48550/arxiv.2405.16648