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Rational points on modular elliptic curves

By: Material type: TextTextLanguage: English Series: CBMS Regional Conference Series in Mathematics ; 101Publication details: Rhode Island American Mathematical Society 2004Description: xii, 129pISBN:
  • 0821828681 (PB)
Subject(s):
Contents:
Ch. 1. Elliptic curves Ch. 2. Modular forms Ch. 3. Heegner points on X[subscript 0](N) Ch. 4. Heegner points on Shimura curves Ch. 5. Rigid analytic modular forms Ch. 6. Rigid analytic modular parametrisations Ch. 7. Totally real fields Ch. 8. ATR points Ch. 9. Integration on H[subscript p] x H Ch. 10. Kolyvagin's theorem.
Summary: Surveys the developments in the arithmetic of modular elliptic curves. This work emphasizes on the construction of rational points on elliptic curves, the Birch and Swinnerton-Dyer conjecture, and the role played by modularity in shedding light on these two closely related issues.
Item type: BOOKS
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Home library Call number Materials specified Status Date due Barcode
IMSc Library 512.742 DAR (Browse shelf(Opens below)) Available 59082

Includes bibliography (p. 125-129) and references

Ch. 1. Elliptic curves Ch. 2. Modular forms Ch. 3. Heegner points on X[subscript 0](N) Ch. 4. Heegner points on Shimura curves Ch. 5. Rigid analytic modular forms Ch. 6. Rigid analytic modular parametrisations Ch. 7. Totally real fields Ch. 8. ATR points Ch. 9. Integration on H[subscript p] x H Ch. 10. Kolyvagin's theorem.

Surveys the developments in the arithmetic of modular elliptic curves. This work emphasizes on the construction of rational points on elliptic curves, the Birch and Swinnerton-Dyer conjecture, and the role played by modularity in shedding light on these two closely related issues.

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The Institute of Mathematical Sciences, Chennai, India