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Abstract
A spectral and inverse spectral problem for homogeneous polynomial maps is discussed.The $m$-independence of vectors based on the symmetric tensor powers performs as a main toolto study the structure of the spectrum. Possible restrictions on this structureare described in terms of syzygies provided by the Euler-Jacobi formula.Applications to projective dynamics are discussed.
Mathematics Subject Classification: Primary: 34A34, 15A69; Secondary: 15A18, 34C14, 34C41.
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