The density of rational points on cubic surfaces

D. R. Heath-Brown

Acta Arithmetica (1997)

  • Volume: 79, Issue: 1, page 17-30
  • ISSN: 0065-1036

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D. R. Heath-Brown. "The density of rational points on cubic surfaces." Acta Arithmetica 79.1 (1997): 17-30. <http://eudml.org/doc/206960>.

@article{D1997,
author = {D. R. Heath-Brown},
journal = {Acta Arithmetica},
keywords = {density of rational points; cubic surfaces; sum of two cubes; coplanar lines; number of zeros; ternary quadratic form},
language = {eng},
number = {1},
pages = {17-30},
title = {The density of rational points on cubic surfaces},
url = {http://eudml.org/doc/206960},
volume = {79},
year = {1997},
}

TY - JOUR
AU - D. R. Heath-Brown
TI - The density of rational points on cubic surfaces
JO - Acta Arithmetica
PY - 1997
VL - 79
IS - 1
SP - 17
EP - 30
LA - eng
KW - density of rational points; cubic surfaces; sum of two cubes; coplanar lines; number of zeros; ternary quadratic form
UR - http://eudml.org/doc/206960
ER -

References

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  1. [1] J. W. S. Cassels, Bounds for the least solutions of homogeneous quadratic equations, Proc. Cambridge Philos. Soc. 51 (1955), 262-264. Zbl0064.28302
  2. [2] J. Franke, Yu. I. Manin and Yu. Tschinkel, Rational points of bounded height on Fano varieties, Invent. Math. 95 (1989), 421-435. Zbl0674.14012
  3. [3] C. Hooley, On the numbers that are representable as the sum of two cubes, J. Reine Angew. Math. 314 (1980), 146-173. 
  4. [4] T. D. Wooley, Sums of two cubes, Internat. Math. Res. Notices 1995 (4), 181-185. Zbl0821.11049

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