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Descent on certain Shimura curves

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Publication:1885543
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DOI10.1007/BF02786638zbMath1160.11331WikidataQ57395851 ScholiaQ57395851MaRDI QIDQ1885543

Andrei Yafaev, Alexei N. Skorobogatov

Publication date: 11 November 2004

Published in: Israel Journal of Mathematics (Search for Journal in Brave)



Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18)


Related Items (6)

On the Hasse principle for Shimura curves ⋮ Local Diophantine properties of Shimura curves and the \(\overline{\mathbb F}_p\)-gonality ⋮ Rational points on Atkin-Lehner quotients of geometrically hyperelliptic Shimura curves ⋮ Points on Shimura curves rational over imaginary quadratic fields in the non-split case ⋮ Proving the triviality of rational points on Atkin-Lehner quotients of Shimura curves ⋮ RATIONAL POINTS ON SHIMURA CURVES AND THE MANIN OBSTRUCTION



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Local diophantine properties of Shimura curves
  • Arithmétique des algèbres de quaternions
  • On the real points of an arithmetic quotient of a bounded symmetric domain
  • Integral models of certain Shimura curves
  • Points on Shimura curves rational over number fields.
  • ON A SHIMURA CURVE THAT IS A COUNTEREXAMPLE TO THE HASSE PRINCIPLE


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