Rationality conjecture for residues of 2-flags of holomorphic foliations
Rationality conjecture for residues of 2-flags of holomorphic foliations
Let be a 2-flag of holomorphic foliations on a complex manifold . Let be a compact connected component of the singular set of the flag, and let , where each is a homogeneous symmetric polynomial of degree satisfying the referenced condition.
Rationality conjecture. If the polynomials have rational coefficients, then
The claim asserts that residues associated with rational characteristic polynomials define homology classes with rational coefficients. The supplied text does not indicate whether this result is proved or remains open.
Sources & referencesView supporting material
Primary source
Jean-Paul Brasselet, Maurício Corrêa and Fernando Lourenço, “Residues for flags of holomorphic foliations”, arXiv:1602.09136 (2017).
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