PLANE REAL ALGEBRAIC CURVES OF ODD DEGREE WITH A DEEP NEST
2005 ◽
Vol 14
(04)
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pp. 497-522
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Keyword(s):
We apply the Murasugi–Tristram inequality to real algebraic curves of odd degree in RP2 with a deep nest, i.e. a nest of the depth k - 1 where 2k + 1 is the degree. For such curves, the ingredients of the Murasugi–Tristram inequality can be computed (or estimated) inductively using the computations for iterated torus links due to Eisenbud and Neumann as the base case of the induction and Conway's skein relation as the induction step. As an example of applications, we prove that some isotopy types are not realizable by M-curves of degree 9. In Appendix B, we give some generalization of the skein relation for Conway polynomial.
2008 ◽
Vol 212
(9)
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pp. 2011-2026
1983 ◽
Vol 16
(3)
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pp. 202-204
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Keyword(s):
2000 ◽
Vol 480
(3-4)
◽
pp. 373-380
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2005 ◽
Vol 14
(07)
◽
pp. 883-918
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Keyword(s):
1978 ◽
Vol 33
(5)
◽
pp. 85-98
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1983 ◽
Vol 21
(1)
◽
pp. 161-170
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