Titlebook: Number Theory III; Diophantine Geometry Serge Lang Book 1991 Springer-Verlag Berlin Heidelberg 1991 Abelian varieties.Abelian variety.Dimen

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書目名稱Number Theory III影響因子(影響力)




書目名稱Number Theory III影響因子(影響力)學(xué)科排名




書目名稱Number Theory III網(wǎng)絡(luò)公開度




書目名稱Number Theory III網(wǎng)絡(luò)公開度學(xué)科排名




書目名稱Number Theory III被引頻次




書目名稱Number Theory III被引頻次學(xué)科排名




書目名稱Number Theory III年度引用




書目名稱Number Theory III年度引用學(xué)科排名




書目名稱Number Theory III讀者反饋




書目名稱Number Theory III讀者反饋學(xué)科排名

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Modular Curves Over ,,ametrize abelian varieties with other structures involving points of finite order. We have already seen the use of such varieties in Faltings’ proof of the Mordell conjecture, and more specifically of the Shafarevich conjecture, in Chapter IV, §5.

Measured

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,The Geometric Case of Mordell’s Conjecture,metry in a context independent of more refined arithmetic invariants found in the number field case. The purpose of this chapter is to describe some of these methods. The original proof of finiteness (without explicit bounds on heights, conjectured in [La 60a]) is due to Manin [Man 63] and the ideas of this proof will be given in §4.

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0938-0396 is the volume. By definition, diophantine problems concern the solutions of equations in integers, or rational numbers, or various generalizations, such as finitely generated rings over Z or finitely generated fields over Q. The word Geometry is tacked on to suggest geometric methods. This means tha

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0938-0396 important. In any case, a lengthy bibliography refers to papers and books where proofs may be found. I have also followed Shafarevich‘s suggestion to give exam978-3-540-61223-0978-3-642-58227-1Series ISSN 0938-0396

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