A polynomial is a convoluted code.
In mathematics , a Rosati involution , named after Carlo Rosati , is an involution of the rational endomorphism ring of an abelian variety induced by a polarization .. mathematics. mathematics. Carlo Rosati. Carlo Rosati. endomorphism ring. endomorphism ring. abelian variety. abelian variety. Let be an abelian variety , let be the dual abelian variety , and for , let be the translation-by - map , .. abelian variety. abelian variety. dual abelian variety. dual abelian variety. Then each divisor on defines a map via .. The map is a polarization , i.e. , has finite kernel , if and only if is ample .. ample. ample divisor. The Rosati involution of relative to the polarization sends a map to the map , where is the dual map induced by the action of on .. Let denote the Neron -- Severi group of .. The polarization also induces an inclusion via .. The image of is equal to , i.e. , the set of endomorphisms fixed by the Rosati involution .. The operation then gives the structure of a formally real Jordan algebra .. Jordan algebra. Jordan algebra