Fiberwise Green functions of skew products semiconjugate to some polynomial products on C2
نویسندگان
چکیده
منابع مشابه
On constant products of elements in skew polynomial rings
Let $R$ be a reversible ring which is $alpha$-compatible for an endomorphism $alpha$ of $R$ and $f(X)=a_0+a_1X+cdots+a_nX^n$ be a nonzero skew polynomial in $R[X;alpha]$. It is proved that if there exists a nonzero skew polynomial $g(X)=b_0+b_1X+cdots+b_mX^m$ in $R[X;alpha]$ such that $g(X)f(X)=c$ is a constant in $R$, then $b_0a_0=c$ and there exist nonzero elements $a$ and $r$ in $R$ such tha...
متن کاملon constant products of elements in skew polynomial rings
let $r$ be a reversible ring which is $alpha$-compatible for an endomorphism $alpha$ of $r$ and $f(x)=a_0+a_1x+cdots+a_nx^n$ be a nonzero skew polynomial in $r[x;alpha]$. it is proved that if there exists a nonzero skew polynomial $g(x)=b_0+b_1x+cdots+b_mx^m$ in $r[x;alpha]$ such that $g(x)f(x)=c$ is a constant in $r$, then $b_0a_0=c$ and there exist nonzero elements $a$ and $r$ in $r$ such tha...
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15 صفحه اولAxiom a Polynomial Skew Products of C2 and Their Postcritical Sets
A polynomial skew product of C is a map of the form f(z, w) = (p(z), q(z, w)), where p and q are polynomials, such that f extends holomorphically to an endomorphism of P of degree ≥ 2. For polynomial maps of C, hyperbolicity is equivalent to the condition that the closure of the postcritical set is disjoint from the Julia set; further, critical points either iterate to an attracting cycle or in...
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where p and q are polynomials. We consider skew products which are Axiom A and extend holomorphically to endomorphisms of P2 of degree d ≥ 2. In the article [DH], we studied orbits of critical points in a distinguished subset of C2, and we constructed new examples of Axiom A maps. We made an erroneous assumption about polynomial skew products, which holds for our main examples but fails in gene...
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 2012
ISSN: 0386-5991
DOI: 10.2996/kmj/1341401055