| Title:
|
Arithmetic genus of integral space curves (English) |
| Author:
|
Sun, Hao |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
68 |
| Issue:
|
4 |
| Year:
|
2018 |
| Pages:
|
1079-1089 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
space curve |
| Keyword:
|
arithmetic genus |
| Keyword:
|
Bridgeland stability |
| Keyword:
|
Bogomolov-Gieseker inequality |
| MSC:
|
14F05 |
| MSC:
|
14H50 |
| idZBL:
|
Zbl 07031699 |
| idMR:
|
MR3881898 |
| DOI:
|
10.21136/CMJ.2017.0093-17 |
| . |
| Date available:
|
2018-12-07T06:22:18Z |
| Last updated:
|
2021-01-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147523 |
| . |
| Reference:
|
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| Reference:
|
[2] Bayer, A., Macrì, E., Stellari, P.: The space of stability conditions on abelian threefolds, and on some Calabi-Yau threefolds.Invent. Math. 206 (2016), 869-933. Zbl 1360.14057, MR 3573975, 10.1007/s00222-016-0665-5 |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| . |
