Investigation of Periodic Points in Algebraic Varieties

The aims of this study, the researchers inspected that if X an algebraic variety over a field K and f is a f^1+2ε(P) = P for other ε >- 1/2, then the aset of periods time is limited and the little one is 1+2ε. Also the researchers confirmed that if O be a separate estimate ring of characteristics zero with residue field k of characteristics (2+ ε) of integers in K and (A, m) be a local sub-O--algebra O ^{(2+ε)(1+2ε)}of rank (2 + ε)^(1+2ε), then (1+2ε) = v²(2+ ε), "ε >0 ,where v² is the normalized valuation on K.