Publikationsdetails
Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method
Abstract
We study the singularities of the moduli space of degree $e$ maps from smooth genus $g$ curves to an arbitrary smooth hypersurface of low degree. For $e$ large compared to $g$, we show that these moduli spaces have at worst terminal singularities. Our main approach is to study the jet schemes of these moduli spaces by developing a suitable form of the circle method.
Details
- Organisationseinheit(en)
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Institut für Algebra, Zahlentheorie und Diskrete Mathematik
- Typ
- Preprint
- Publikationsdatum
- 19.12.2024
- Publikationsstatus
- Elektronisch veröffentlicht (E-Pub)
