REFERENCES
- Chernousov , V. I. and Guletskii , V. I. 2-Torsion of Brauer Group of Elliptic Curves: Generators and Relations Universität Bielefeld . Preprint 00-037
- Colliot-Thelénè , J. L. and Sansuc , J.-J. 1988 . The Rationality Problem for Fields of Invariants Under Algebraic Groups (with Special Regards to the Brauer Group) Santiago de Chile Unpublished Lecture Notes from the 9th ELAM
- Faddeev , D. K. 1951 . Simple Algebras Over a Function Field in One Variable . Proc. Steklov Inst. , 38 : 321 – 344 . English Transl. in AMS Transl. 1956, 3 15–38
- Guletskii , V. I. , Margolin , G. L. and Yanchevskii , V. I. 1997 . Presentation of Two-torsion Part in Brauer Groups of Curves by Quaternion Algebras . Dokl. NANB. , 41 ( 6 ) : 4 – 8 . (In Russian)
- Guletskii , V. I. and Yanchevskii , V. I. 1998 . Presentation of Torsion in Brauer Groups of Curves by Cyclic Algebras . Dokl. NANB. , 42 ( 2 ) : 52 – 55 . (In Russian)
- Lang , S. 1996 . Topics in Cohomology of Groups Springer-Verlag .
- Lang , S. Algebraic Groups Over Finite Fields . Amer. J. of Math. , 78 ( 1058 ) 555 – 563 .
- Lang , S. and Tate , J. 1956 . Principal Homogeneous Spaces Over Abelian Varieties . Amer. J. of Math. , 80 : 659 – 684 .
- Lipnitsky , A. A. 1993 . Two-torsion Part in Brauer Groups of Elliptic Curves with Good One-component Reduction Over the Field of Real Formal Power Series . Dokl. NANB. , 43 ( 3 ) : 13 – 16 . (In Russian)
- Lipnitsky , A. A. 1999 . Two-torsion Part in Brauer Groups of Elliptic Curves with Good Two-component Reduction over the Field of Real Formal Power Series . Dokl. NANB. , 43 ( 4 ) : 22 – 25 . (In Russian)
- Margolin , G. L. , Rehmann , U. and Yanchevskii , V. I. Quaternion Generation of the 2-torsion Part of the Brauer Group of a Local Quintic Universität Bielefeld . Preprint 97-010
- Milne , J. S. 1986 . Arithmetic Duality Theorems , Progress in Math. Vol. 1 , Boston : Academic Press .
- Milne , J. S. 1981 . Comparison of the Brauer Group with the Tate-Šafarevič Group . J. Fac. Science, Univ. Tokyo, Sec. IA , : 735 – 743 .
- Lichtenbaum , S. 1969 . Duality Theorems for Curves Over P-adic Fields . Invent. Math. , 7 : 120 – 743 .
- Pierce , R. S. 1982 . “ Graduate Texts in Mathematics 88 ” . In Associative Algebras Springer-Verlag .
- Pumplün , S. 1998 . Quaternion Algebras Over Elliptic Curves . Comm. Algebra , 26 ( 12 ) : 4357 – 4373 .
- Serre , J.-P. 1979 . Local Fields Springer-Verlag .
- 1995 . Ed. Schaefer, 2-descent On the Jacobian of Hyperelliptic Curves . J. Number Theory , 51 : 219 – 232 .
- Yanchevskii , V. I. and Margolin , G. L. 1996 . The Brauer Groups and the Torsion of Local Elliptic Curves . St. Petersburg Math J. , 7 ( 3 ) : 861 – 896 .
- Yanchevskii , V. I. and Margolin , G. L. 1996 . The Brauer Groups of Local Hyperelliptic Curves with Good Reduction . St. Petersburg Math J. , 7 ( 6 ) : 1033 – 1048 .