Involutive birational transformations of arbitrary complexity in Euclidean spaces

Abstract

Abstract. A broad family of involutive birational transformations of an open dense subset of Rn onto itself is constructed explicitly.

Examples with arbitrarily high complexity are presented. Construction of birational transformations such that k = Id for a fixed integer k > 2 is also presented.

Keywords

• Involutive
• birational
• transformations
• arbitrary
• complexity
• Euclidean
• spaces