The rationality of the moduli space of one-pointed ineffective spin hyperelliptic curves via an almost del Pezzo threefold

Hiromichi Takagi; Francesco Zucconi

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arXiv · 1605.08249

The rationality of the moduli space of one-pointed ineffective spin hyperelliptic curves via an almost del Pezzo threefold

Hiromichi Takagi·Francesco Zucconi

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Abstract

Using the geometry of an almost del Pezzo threefold, we show that the moduli space of genus $g$ one-pointed ineffective spin hyperelliptic curves is rational for every $g\geq 2$.

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Hiromichi Takagi, Francesco Zucconi. 2016-05-26. The rationality of the moduli space of one-pointed ineffective spin hyperelliptic curves via an almost del Pezzo threefold. https://arxiv.org/abs/1605.08249

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