Download e-book for kindle: A First Course in Modular Forms (Graduate Texts in by Fred Diamond,Jerry Shurman

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By Fred Diamond,Jerry Shurman

ISBN-10: 038723229X

ISBN-13: 9780387232294

ISBN-10: 1441920056

ISBN-13: 9781441920058

This publication introduces the idea of modular varieties, from which all rational elliptic curves come up, with a watch towards the Modularity Theorem. dialogue covers elliptic curves as complicated tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner idea; Hecke eigenforms and their mathematics houses; the Jacobians of modular curves and the Abelian types linked to Hecke eigenforms. because it offers those rules, the publication states the Modularity Theorem in a variety of kinds, referring to them to one another and referring to their purposes to quantity conception. The authors suppose no history in algebraic quantity conception and algebraic geometry. workouts are included.

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A First Course in Modular Forms (Graduate Texts in Mathematics) by Fred Diamond,Jerry Shurman


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