Abstract
A spectral and inverse spectral problem for homogeneous polyno-mial maps is discussed. The m-independence of vectors based on the symmetric tensor powers performs as a main tool to study the structure of the spectrum. Possible restrictions on this structure are described in terms of syzygies pro-vided by the Euler-Jacobi formula. Applications to projective dynamics are discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 1017-1027 |
| Number of pages | 11 |
| Journal | Discrete and Continuous Dynamical Systems - Series S |
| Volume | 6 |
| Issue number | 4 |
| DOIs | |
| State | Published - Aug 2013 |
Keywords
- B-ezout theorem
- Euler-Jacobi formula
- Fixed points theory
- Multi-linear analysis
- Syzygies
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