Geodesic
Arithmetic genus of integral space curves
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 4, pp. 1079-1089.

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We give an estimation for the arithmetic genus of an integral space curve which is not contained in a surface of degree $k-1$. Our main technique is the Bogomolov-Gieseker type inequality for $\mathbb {P}^3$ proved by Macrì.
DOI : 10.21136/CMJ.2017.0093-17
Classification : 14F05, 14H50
Keywords: space curve; arithmetic genus; Bridgeland stability; Bogomolov-Gieseker inequality 
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     title = {Arithmetic genus of integral space curves},
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Sun, Hao. Arithmetic genus of integral space curves. Czechoslovak Mathematical Journal, Tome 68 (2018) no. 4, pp. 1079-1089. doi : 10.21136/CMJ.2017.0093-17. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0093-17/

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