Geodesic
Arithmetic genus of integral space curves
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 4, pp. 1079-1089 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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     author = {Sun, Hao},
     title = {Arithmetic genus of integral space curves},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1079--1089},
     year = {2018},
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     zbl = {07031699},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2017.0093-17/}
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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

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