By Nicholas M. Katz

ISBN-10: 0691083525

ISBN-13: 9780691083520

This paintings is a finished therapy of contemporary advancements within the learn of elliptic curves and their moduli areas. The mathematics learn of the moduli areas started with Jacobi's "Fundamenta Nova" in 1829, and the fashionable idea used to be erected by means of Eichler-Shimura, Igusa, and Deligne-Rapoport. some time past decade mathematicians have made extra monstrous growth within the box. This booklet provides an entire account of that development, together with not just the paintings of the authors, but additionally that of Deligne and Drinfeld.

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This paintings is a accomplished therapy of modern advancements within the learn of elliptic curves and their moduli areas. The mathematics research of the moduli areas all started with Jacobi's "Fundamenta Nova" in 1829, and the fashionable conception used to be erected by way of Eichler-Shimura, Igusa, and Deligne-Rapoport. some time past decade mathematicians have made additional enormous growth within the box.

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**Additional resources for Arithmetic Moduli of Elliptic Curves.**

**Sample text**

1. part, ZT(~D) or in cuts, an number of induetion~ If the is in pre- is ,A(F) logical exactly 12 w e contained then we take as complexity , the the induction symbols formula~ respectively. to image, definition with of a cut are intuitionistic section to m o d i f y complexities, in q u e s t i o n ~ succedent ZTi( ~ proofs order the the 12 the w h o l e proofs to content inference pur- introduced o(z)(D(z) Those over carry TI a -inferences. The complexity as b e f o r e , n a m e l y the n u m b e r of the technical thus which o~ of d e f i n i t i o n formula for from form: exception as derivable ) system can (x) , as , to b e situation.

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