"Hitchin system"의 두 판 사이의 차이
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| 2번째 줄: | 2번째 줄: | ||
* [[elliptic Calogero-Moser model and AGT conjecture|elliptic Calogero-Moser system]] is an example of Hitchin system. | * [[elliptic Calogero-Moser model and AGT conjecture|elliptic Calogero-Moser system]] is an example of Hitchin system. | ||
| + | * http://ncatlab.org/nlab/show/Hitchin+fibration | ||
| + | * the spectral curve is a hyperelliptic curve (genus 2 or more) | ||
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| + | explicit formulas for genus 2 case | ||
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| + | [a6] B. van Geemen, A.J. de Jong, "On Hitchin's connection" J. Amer. Math. Soc. , 11 (1998) pp. 189–228<br> [a7] B. van Geemen, E. Previato, "On the Hitchin system" Duke Math. J. , 85 : 3 (1996) pp. 659–683 | ||
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| 22번째 줄: | 32번째 줄: | ||
* http://en.wikipedia.org/wiki/Hitchin_system | * http://en.wikipedia.org/wiki/Hitchin_system | ||
| + | * Hitchin system http://eom.springer.de/H/h120090.htm | ||
* http://en.wikipedia.org/wiki/ | * http://en.wikipedia.org/wiki/ | ||
* http://www.scholarpedia.org/ | * http://www.scholarpedia.org/ | ||
| 61번째 줄: | 72번째 줄: | ||
* http://pythagoras0.springnote.com/ | * http://pythagoras0.springnote.com/ | ||
* [http://math.berkeley.edu/%7Ereb/papers/index.html http://math.berkeley.edu/~reb/papers/index.html] | * [http://math.berkeley.edu/%7Ereb/papers/index.html http://math.berkeley.edu/~reb/papers/index.html] | ||
| − | * http://dx.doi.org/ | + | * http://dx.doi.org/10.1090/S0894-0347-98-00252-5 |
2011년 1월 17일 (월) 10:49 판
introduction
- elliptic Calogero-Moser system is an example of Hitchin system.
- http://ncatlab.org/nlab/show/Hitchin+fibration
- the spectral curve is a hyperelliptic curve (genus 2 or more)
explicit formulas for genus 2 case
[a6] B. van Geemen, A.J. de Jong, "On Hitchin's connection" J. Amer. Math. Soc. , 11 (1998) pp. 189–228
[a7] B. van Geemen, E. Previato, "On the Hitchin system" Duke Math. J. , 85 : 3 (1996) pp. 659–683
history
encyclopedia
- http://en.wikipedia.org/wiki/Hitchin_system
- Hitchin system http://eom.springer.de/H/h120090.htm
- http://en.wikipedia.org/wiki/
- http://www.scholarpedia.org/
- http://www.proofwiki.org/wiki/
- Princeton companion to mathematics(Companion_to_Mathematics.pdf)
books
expositions
- Scognamillo, Renata. 1999. A note on the complete integrability of the Hitchin system. Archiv der Mathematik 73, no. 1 (7): 50-55. doi:10.1007/s000130050019.
articles
- http://www.ams.org/mathscinet
- http://www.zentralblatt-math.org/zmath/en/
- http://arxiv.org/
- http://www.pdf-search.org/
- http://pythagoras0.springnote.com/
- http://math.berkeley.edu/~reb/papers/index.html
- http://dx.doi.org/10.1090/S0894-0347-98-00252-5
question and answers(Math Overflow)
blogs
- 구글 블로그 검색
- http://ncatlab.org/nlab/show/HomePage
experts on the field