TY - BOOK AU - Takeshi Saito AU - Translated from the Japanese by Masato Kuwata TI - Fermat's last theorem: : the proof T2 - Translations of Mathematical Monographs SN - 9781470438418 AV - QA244 PY - 2014///] CY - Rhode Island PB - American Mathematical Society KW - Mathematics N1 - Ch 8. Modular curves over Z Ch 9. Modular forms and Galois representations Ch 10. Hecke modules Ch 11. Selmer groups N2 - The reader can learn basics on the integral models of modular curves and their reductions modulo p that lay the foundation of the construction of the Galois representations associated with modular forms. More background materials, including Galois cohomology, curves over integer rings, the NĂ©ron models of their Jacobians, etc., are also explained in the text and in the appendices. --- summary provided by publisher ER -