On a structure of the fixed point set of homogeneous maps

Yakov Krasnov, Alexander Kononovich, Grigory Osharovich

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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 languageEnglish
Pages (from-to)1017-1027
Number of pages11
JournalDiscrete and Continuous Dynamical Systems - Series S
Issue number4
StatePublished - Aug 2013


  • B-ezout theorem
  • Euler-Jacobi formula
  • Fixed points theory
  • Multi-linear analysis
  • Syzygies


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