Rational points of varieties constitute a major area of current research.
For an abelian variety A, the K-rational points form a group. The Mordell-Weil theorem states that the group of rational points of an abelian variety over K is finitely generated if K is a number field.
The Weil conjectures concern the distribution of rational points on varieties over finite fields.
WIPO PUBLISHES PATENT OF NATIONAL UNIVERSITY CORPORATION OKAYAMA UNIVERSITY FOR "RATIONAL POINT INFORMATION COMPRESSION DEVICE, RATIONAL POINT INFORMATION COMPRESSION METHOD AND RATIONAL POINT INFORMATION COMPRESSION PROGRAM" (JAPANESE INVENTORS)
Apr 19, 2012; GENEVA, April 17 -- Publication No. WO/2012/046805 was published on April 12. Title of the invention: "RATIONAL POINT INFORMATION...
WIPO PUBLISHES PATENT OF NATIONAL UNIVERSITY OKAYAMA UNIVERSITY FOR "PAIRING COMPUTATION AND SCALAR MULTIPLICATION OF EMBEDDING DEGREE 1 AND COMPOSITE ORDER RATIONAL POINT ON ELLIPTIC CURVE" (JAPANESE INVENTORS)
Feb 24, 2012; GENEVA, Feb. 21 -- Publication No. WO/2012/015047 was published on Feb. 2. Title of the invention: "PAIRING COMPUTATION AND...