Hasse principle for pencils of curves of genus one whose jacobians have a rational 2-division point

Author:

Colliot-Thélène Jean-Louis

Publisher

Birkhäuser Basel

Reference16 articles.

1. A. O. Bender and Sir Peter Swinnerton-DyerSolubility of certain pencils of curves of genus 1 and of the intersection of two quadrics in P 4 Preprint, 1999. To appear in Proc. of the London Math. Soc.

2. J.-L. Colliot-ThélèneThe Hasse principle in a pencil of algebraic varietiesinNumber TheoryProceedings of a conference held at Tiruchirapalli, India, January 1996, K. Murty and M. Waldschmidt ed., Con-temp. math. 210 (1998), 19–39.

3. J.-L. Colliot-Thélène et J.-J. SansucFibrés quadratiques et com-posantes connexes réellesMath. Ann. 244 (1979), 105–134.

4. J.-L. Colliot-Thélène, J.-J. Sansuc and Sir Peter Swinnerton-DyerIntersections of two quadrics and Châtelet surfaces IJ. reine angew. Math. (Crelle) 373 (1987), 37–107; II, J. reine angew. Math. (Crelle) 374 (1987), 72–168.

5. J.-L. Colliot-Thélène, A. N. Skorobogatov and Sir Peter Swinnerton-DyerDouble fibres and double covers: paucity of rational pointsActa Arithmetica LXXIX (1997), 113–135.

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