TY - JOUR
T1 - On a structure of the fixed point set of homogeneous maps
AU - Krasnov, Yakov
AU - Kononovich, Alexander
AU - Osharovich, Grigory
PY - 2013/8
Y1 - 2013/8
N2 - 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.
AB - 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.
KW - B-ezout theorem
KW - Euler-Jacobi formula
KW - Fixed points theory
KW - Multi-linear analysis
KW - Syzygies
UR - http://www.scopus.com/inward/record.url?scp=84874121550&partnerID=8YFLogxK
U2 - 10.3934/dcdss.2013.6.1017
DO - 10.3934/dcdss.2013.6.1017
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AN - SCOPUS:84874121550
SN - 1937-1632
VL - 6
SP - 1017
EP - 1027
JO - Discrete and Continuous Dynamical Systems - Series S
JF - Discrete and Continuous Dynamical Systems - Series S
IS - 4
ER -