Zarkhin, Yu. G.; Parshin, A. N. Finiteness problems in Diophantine geometry. (English. Russian original) Zbl 0672.14012 Transl., II. Ser., Am. Math. Soc. 143, 35-102 (1989); translation from Appendix to the Russian translation of the book of Serge Lang: “Fundamentals of Diophantine geometry”, Mir, Moscow, 396-438 (1986). See the review in Zbl 0644.14007 Cited in 1 ReviewCited in 4 Documents MSC: 14Gxx Arithmetic problems in algebraic geometry; Diophantine geometry 14-02 Research exposition (monographs, survey articles) pertaining to algebraic geometry 11D41 Higher degree equations; Fermat’s equation 14H52 Elliptic curves 14K15 Arithmetic ground fields for abelian varieties 14G05 Rational points Keywords:proof of Mordell conjecture; proof of Shafarevich conjecture; proof; of Tate conjecture Citations:Zbl 0588.14026; Zbl 0588.14028; Zbl 0644.14007 PDFBibTeX XML Full Text: arXiv