Arithmetic genus of integral space curves

Hao Sun

Czechoslovak Mathematical Journal (2018)

  • Volume: 68, Issue: 4, page 1079-1089
  • ISSN: 0011-4642

Abstract

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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 3 proved by Macrì.

How to cite

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Sun, Hao. "Arithmetic genus of integral space curves." Czechoslovak Mathematical Journal 68.4 (2018): 1079-1089. <http://eudml.org/doc/294718>.

@article{Sun2018,
abstract = {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.},
author = {Sun, Hao},
journal = {Czechoslovak Mathematical Journal},
keywords = {space curve; arithmetic genus; Bridgeland stability; Bogomolov-Gieseker inequality},
language = {eng},
number = {4},
pages = {1079-1089},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Arithmetic genus of integral space curves},
url = {http://eudml.org/doc/294718},
volume = {68},
year = {2018},
}

TY - JOUR
AU - Sun, Hao
TI - Arithmetic genus of integral space curves
JO - Czechoslovak Mathematical Journal
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 4
SP - 1079
EP - 1089
AB - 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.
LA - eng
KW - space curve; arithmetic genus; Bridgeland stability; Bogomolov-Gieseker inequality
UR - http://eudml.org/doc/294718
ER -

References

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  2. Bayer, A., Macrì, E., Stellari, P., 10.1007/s00222-016-0665-5, Invent. Math. 206 (2016), 869-933. (2016) Zbl1360.14057MR3573975DOI10.1007/s00222-016-0665-5
  3. Bayer, A., Macrì, E., Toda, Y., 10.1090/S1056-3911-2013-00617-7, J. Algebr. Geom. 23 (2014), 117-163. (2014) Zbl1306.14005MR3121850DOI10.1090/S1056-3911-2013-00617-7
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