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- W2553547661 abstract "Let F : P → P be the extension of f in projective space. We define the indeterminacy locus of F as I = {O0, O1, O2}. In order to regularize F we blow up all the orbits of points under F that reach any indeterminacy point of F . Trivially there are two orbits of ponits A0 and A1 that reach O2 and O1 respectively. We then impose the condition on the orbit of A2 such that F (A2) = O0, where A0, A1, A2 are indeterminacy points of F−1. Let X be the space we get after blowing up operation and let F be the induced map. We find that F is an algebraically stable map which induces a morphism of groups F ∗ : Pic(X) → Pic(X). This map F ∗ is a homeomorphism on Pic(X). We claim that F is a globally periodic map with period 2p+ 2 ∀p ∈ N provided that F (A2) = O0. We prove this by first showing that (F ∗)2p+2 is the identity map and then we show that F 2p+2 is a linear map, by using a result from [5]. Finally by using previous results we prove that (F )2p+2 is the identity map." @default.
- W2553547661 created "2016-11-30" @default.
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- W2553547661 date "2006-01-01" @default.
- W2553547661 modified "2023-09-26" @default.
- W2553547661 title "A particular family of globally periodic birational maps" @default.
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