The density of rational points on cubic surfaces
نویسندگان
چکیده
منابع مشابه
Rational Points on Cubic Surfaces
Let k be an algebraic number eld and F (x0; x1; x2; x3) a non{singular cubic form with coeecients in k. Suppose that the pro-jective cubic k{surface X P 3 k given by F = 0 contains three coplanar lines deened over k, and let U (k) be the set of k{points on X which does not lie on any line on X. We show that the number of points in U (k), with height at most B, is OF;"(B 4=3+") for any " > 0.
متن کاملThe Density of Rational Points on Cayley ’ s Cubic Surface
The Cayley cubic surface is given by the equation 4 i=1 X −1 i = 0. We show that the number of non-trivial primitive integer points of size at most B is of exact order B(log B) 6 , as predicted by Manin's conjecture.
متن کاملThe Density of Rational Points on Curves and Surfaces
Let n ≥ 3 be an integer and let F (x) = F (x1, . . . , xn) ∈ Z[x1, . . . , xn] be an absolutely irreducible form of degree d, producing a hypersurface of dimension n − 2 in Pn−1. This paper is primarily concerned with the number of rational points on this hypersurface, of height at most B, say. In order to describe such points we choose representatives x = (x1, . . . , xn) ∈ Z with the xi not a...
متن کاملDensity of Rational Points on Diagonal Quartic Surfaces
Let a, b, c, d be nonzero rational numbers whose product is a square, and let V be the diagonal quartic surface in P defined by ax + by + cz + dw = 0. We prove that if V contains a rational point that does not lie on any of the 48 lines on V or on any of the coordinate planes, then the set of rational points on V is dense in both the Zariski topology and the real analytic
متن کاملthe effect of traffic density on the accident externality from driving the case study of tehran
در این پژوهش به بررسی اثر افزایش ترافیک بر روی تعداد تصادفات پرداخته شده است. به این منظور 30 تقاطع در شهر تهران بطور تصادفی انتخاب گردید و تعداد تصادفات ماهیانه در این تقاطعات در طول سالهای 89-90 از سازمان کنترل ترافیک شهر تهران استخراج گردید و با استفاده از مدل داده های تابلویی و نرم افزار eviews مدل خطی و درجه دوم تخمین زده شد و در نهایت این نتیجه حاصل شد که تقاطعات پر ترافیک تر تعداد تصادفا...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1997
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-79-1-17-30