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On the computation of the Picard group for certain singular quartic surfaces

✍ Scribed by Andreas-Stephan Elsenhans, Jörg Jahnel


Book ID
120954942
Publisher
SP Versita
Year
2013
Tongue
English
Weight
253 KB
Volume
63
Category
Article
ISSN
0139-9918

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📜 SIMILAR VOLUMES


On the Picard Group of the Integer Group
✍ Alexander Stolin 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 324 KB

In the present paper we deal with the canonical projection Pic Z Here p is any odd prime number, `pk k =1 and C n is the cyclic group of order p n . I proved in (Stolin, 1997), that the canonical projection Pic Z[`n] Ä Cl Z[`n] can be split. If p is a properly irregular, not regular prime number, t

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✍ T.D. Browning 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 332 KB

We show that the number of nontrivial rational points of height at most B, which lie on the cubic surface x 1 x 2 x 3 = x 4 (x 1 + x 2 + x 3 ) 2 , has order of magnitude B(log B) 6 . This agrees with Manin's conjecture.