Tropical Griffiths-type defect relation for tropical hypersurfaces
Tropical Griffiths-type defect relation for tropical hypersurfaces
Let and be positive integers with . Let be a tropical algebraically nondegenerated tropical holomorphic curve. Assume that are homogeneous tropical polynomials of degrees , and let be the least common multiple of . Set . If and
Tropical Griffiths-type defect conjecture. One should have
This is proposed as a tropical analogue of the Griffiths conjecture on defect relations for holomorphic curves and hypersurfaces. The source notes that related classical results are known in special cases, but does not state a resolution of this tropical formulation.
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Sources & referencesView supporting material
Primary source
Tingbin Cao and Jianhua Zheng, “Second main theorem with tropical hypersurfaces and defect relation”, arXiv:1806.04294 (2018).
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