Journal of the Ramanujan Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

On the Smallest Point on a Diagonal Quartic Threefold


Affiliations
1 Mathematisches Institut der Universitat Gottingen, Bunsenstraße 3–5, D-37073 Gottingen, Germany
     

   Subscribe/Renew Journal


For the family a0x4 = a1y4 + a2z4 + a3v4 + a4w4, a0, . . . , a4 > 0, of diagonal quartic threefolds, we study the behaviour of the height of the smallest rational point versus the Tamagawa type number introduced by E. Peyre.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 242

PDF Views: 0




  • On the Smallest Point on a Diagonal Quartic Threefold

Abstract Views: 242  |  PDF Views: 0

Authors

Andreas-Stephan Elsenhans
Mathematisches Institut der Universitat Gottingen, Bunsenstraße 3–5, D-37073 Gottingen, Germany
Jorg Jahnel
Mathematisches Institut der Universitat Gottingen, Bunsenstraße 3–5, D-37073 Gottingen, Germany

Abstract


For the family a0x4 = a1y4 + a2z4 + a3v4 + a4w4, a0, . . . , a4 > 0, of diagonal quartic threefolds, we study the behaviour of the height of the smallest rational point versus the Tamagawa type number introduced by E. Peyre.