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On the number of points of bounded height¶on arithmetic projective spaces

✍ Scribed by Carlo Gasbarri


Publisher
Springer
Year
1999
Tongue
English
Weight
155 KB
Volume
98
Category
Article
ISSN
0025-2611

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On Bounding the Number of Generators for
✍ Stephanie Fitchett 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 145 KB

Let X be the surface obtained by blowing up general points p 1 p n of the projective plane over an algebraically closed ground field k, and let L be the pullback to X of a line on the plane. If C is a rational curve on X with C • L = d, then for every t there is a natural map C C t ⊗ X X L → C C t +