Details
| Original language | English |
|---|---|
| Publication status | E-pub ahead of print - 19 Dec 2024 |
Abstract
Keywords
- math.AG, math.NT, 14H10 (11D45, 11P55, 14G05, 14J70)
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2024.
Research output: Working paper/Preprint › Preprint
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TY - UNPB
T1 - Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method
AU - Glas, Jakob
AU - Hase-Liu, Matthew
N1 - 43 pages
PY - 2024/12/19
Y1 - 2024/12/19
N2 - 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.
AB - 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.
KW - math.AG
KW - math.NT
KW - 14H10 (11D45, 11P55, 14G05, 14J70)
M3 - Preprint
BT - Terminal singularities of the moduli space of curves on low degree hypersurfaces and the circle method
ER -