scholarly journals COUNTING RATIONAL POINTS ON CUBIC HYPERSURFACES: CORRIGENDUM

Mathematika ◽  
2013 ◽  
Vol 60 (1) ◽  
pp. 101-107
Author(s):  
T. D. Browning
Keyword(s):  
Rational Points ◽  
Counting Rational Points ◽  
Cubic Hypersurfaces

The Lang–Weil Estimate for Cubic Hypersurfaces

2013 ◽  
Vol 56 (3) ◽  
pp. 500-502 ◽  
Author(s):  
T. D. Browning
Keyword(s):  
Rational Points ◽  
Cubic Hypersurfaces ◽  
Weil Estimate

AbstractAn improved estimate is provided for the number of 𝔽q-rational points on a geometrically irreducible, projective, cubic hypersurface that is not equal to a cone.

scholarly journals Rational points on cubic hypersurfaces that split off a form. With an appendix by J.-L. Colliot-Thélène

2010 ◽  
Vol 146 (4) ◽  
pp. 853-885 ◽  
Author(s):  
T. D. Browning
Keyword(s):  
Rational Points ◽  
Cubic Form ◽  
Cubic Hypersurfaces

AbstractLet X be a projective cubic hypersurface of dimension 11 or more, which is defined over ℚ. We show that X(ℚ) is non-empty provided that the cubic form defining X can be written as the sum of two forms that share no common variables.

scholarly journals Counting rational points on cubic curves

2010 ◽  
Vol 53 (9) ◽  
pp. 2259-2268 ◽  
Author(s):  
Roger Heath-Brown ◽  
Damiano Testa
Keyword(s):  
Rational Points ◽  
Cubic Curves ◽  
Counting Rational Points

scholarly journals Counting rational points on smooth cyclic covers

2012 ◽  
Vol 132 (8) ◽  
pp. 1741-1757 ◽  
Author(s):  
D.R. Heath-Brown ◽  
Lillian B. Pierce
Keyword(s):  
Rational Points ◽  
Cyclic Covers ◽  
Counting Rational Points
Sign in / Sign up

Export Citation Format

Share Document