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arXiv · 1309.6028

The space of complete quotients

Yi Hu·Yijun Shao
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Abstract

We introduce complete quotients over the projective line and prove that they form smooth projective varieties. The resulting parameter spaces coincide with the varieties constructed in [HLS11] and [Shao11]. Hence they provide modular smooth compactifications with normal crossing boundaries of the spaces of algebraic maps from the projective line to Grassmannian varieties.

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Yi Hu, Yijun Shao. 2013-09-24. The space of complete quotients. https://arxiv.org/abs/1309.6028

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