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arXiv · 1605.06888

Arithmetic genus of integral space curves

Hao Max Sun
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Abstract

We give an estimation for the arithmetic genus of an integral space curve, which are not contained in a surface of degree $k-1$. Our main technique is the Bogomolov-Gieseker type inequality for $\mathbb{P}^3$ proved by Macri.

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Hao Max Sun. 2016-05-23. Arithmetic genus of integral space curves. https://arxiv.org/abs/1605.06888

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