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

Francesco Zucconi; Hiromichi Takagi

arxiv: 1605.08249 · v1 · pith:YKJAGG7Snew · submitted 2016-05-26 · 🧮 math.AG

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

Hiromichi Takagi , Francesco Zucconi This is my paper

classification 🧮 math.AG

keywords almostcurveshyperellipticineffectivemodulione-pointedpezzospace

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

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