scholarly journals RATIONAL CURVES ON CUBIC HYPERSURFACES OVER FINITE FIELDS

Mathematika ◽  
2021 ◽  
Vol 67 (2) ◽  
pp. 366-387
Author(s):  
Adelina Mânzăţeanu
2014 ◽  
Vol 150 (3) ◽  
pp. 396-408 ◽  
Author(s):  
Zhiyu Tian ◽  
Hong R. Zong

AbstractWe prove that every curve on a separably rationally connected variety is rationally equivalent to a (non-effective) integral sum of rational curves. That is, the Chow group of 1-cycles is generated by rational curves. Applying the same technique, we also show that the Chow group of 1-cycles on a separably rationally connected Fano complete intersection of index at least 2 is generated by lines. As a consequence, we give a positive answer to a question of Professor Totaro about integral Hodge classes on rationally connected 3-folds. And by a result of Professor Voisin, the general case is a consequence of the Tate conjecture for surfaces over finite fields.


Author(s):  
Olivier Debarre ◽  
Antonio Laface ◽  
Xavier Roulleau

Author(s):  
Rudolf Lidl ◽  
Harald Niederreiter
Keyword(s):  

2018 ◽  
Vol 43 (1-4) ◽  
pp. 13-45
Author(s):  
Prof. P. L. Sharma ◽  
◽  
Mr. Arun Kumar ◽  
Mrs. Shalini Gupta ◽  
◽  
...  

2020 ◽  
Vol 25 (4) ◽  
pp. 4-9
Author(s):  
Yerzhan R. Baissalov ◽  
Ulan Dauyl

The article discusses primitive, linear three-pass protocols, as well as three-pass protocols on associative structures. The linear three-pass protocols over finite fields and the three-pass protocols based on matrix algebras are shown to be cryptographically weak.


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