Read e-book online A First Course in Modular Forms (Graduate Texts in PDF

By Fred Diamond,Jerry Shurman

ISBN-10: 038723229X

ISBN-13: 9780387232294

ISBN-10: 1441920056

ISBN-13: 9781441920058

This ebook 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 advanced tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner thought; Hecke eigenforms and their mathematics homes; the Jacobians of modular curves and the Abelian types linked to Hecke eigenforms. because it offers those principles, the ebook states the Modularity Theorem in a number of kinds, referring to them to one another and referring to their purposes to quantity idea. The authors suppose no historical past 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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