"Jacobian Conjecture"의 두 판 사이의 차이
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imported>Pythagoras0 (새 문서: ==introduction== * Let y=F(z) a polynomial system in C^n. The Jacobian Conjecture (JC) states that F is invertible, and its inverse is polynomial, if and only if the determinant of th...) |
imported>Pythagoras0 (section 'memo' added) |
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* De Goursac, A., A. Sportiello, and A. Tanasa. ‘Degree Reduction in the Jacobian Conjecture, a Combinatorial Quantum Field Theoretical Approach’. arXiv:1411.6558 [hep-Th], 17 November 2014. http://arxiv.org/abs/1411.6558. | * De Goursac, A., A. Sportiello, and A. Tanasa. ‘Degree Reduction in the Jacobian Conjecture, a Combinatorial Quantum Field Theoretical Approach’. arXiv:1411.6558 [hep-Th], 17 November 2014. http://arxiv.org/abs/1411.6558. | ||
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| + | == memo == | ||
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| + | * Yucai Su, Keller maps and 2-dimensional Jacobi conjecture, http://arxiv.org/abs/1603.01867v1 | ||
2016년 3월 8일 (화) 00:18 판
introduction
- Let y=F(z) a polynomial system in C^n. The Jacobian Conjecture (JC) states that F is invertible, and its inverse is polynomial, if and only if the determinant of the Jacobian matrix J_F(z) = (d F_j(z)/d z_i)_{i,j=1..n} is a non-zero constant.
- what is the set of automorphisms of an affine space? Jacobian conjecture is about the polynomial automorphisms whose jacobians are constant.
- De Goursac, A., A. Sportiello, and A. Tanasa. ‘Degree Reduction in the Jacobian Conjecture, a Combinatorial Quantum Field Theoretical Approach’. arXiv:1411.6558 [hep-Th], 17 November 2014. http://arxiv.org/abs/1411.6558.
memo
- Yucai Su, Keller maps and 2-dimensional Jacobi conjecture, http://arxiv.org/abs/1603.01867v1