TY - JOUR
T1 - Growth at infinity and index of polynomial maps
AU - Bivià-Ausina, Carles
AU - Huarcaya, Jorge A.C.
PY - 2015/1/1
Y1 - 2015/1/1
N2 - © 2014 Elsevier Inc. Let F : Kn → Kn be a polynomial map such that F-1(0) is compact, where K = R or C. Then we give a condition implying that there is a uniform bound for the Łojasiewicz exponent at infinity in certain deformations of F. This fact gives a result about the invariance of the global index of F.
AB - © 2014 Elsevier Inc. Let F : Kn → Kn be a polynomial map such that F-1(0) is compact, where K = R or C. Then we give a condition implying that there is a uniform bound for the Łojasiewicz exponent at infinity in certain deformations of F. This fact gives a result about the invariance of the global index of F.
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U2 - 10.1016/j.jmaa.2014.09.062
DO - 10.1016/j.jmaa.2014.09.062
M3 - Article
SN - 0022-247X
SP - 1414
EP - 1433
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
ER -