References
[1]. Daniel B. Shapiro, Compositions of Quadratic Forms, 2000, de Gruyter Expositions in Mathematics 33.
[2]. H. Hopf, Ein topo1ogischer Beitrag zur reellen Algebra, Comment. Math. Helv. 13 (1940/41), 219-239.
[3]. L. Smith, Nonsingular bilinear forms, generalized J homomorphisms, and the homotopy of spheres I, 1978, Indiana Univ. Math. J. 27, 697–737.
[4]. E. Arbarello, M. Cornalba, P. A. Griffiths, J. Harris, Geometry of Algebraic Curves, Volume I, 1985, Springer.
[5]. D. Mumford, The Red Book of Varieties and Schemes, 1974, Lecture notes in mathematics 1358, Springer.
[6]. J. Harris, L. W. Tu, On symmetric and skew-symmetric determinantal varieties, Topology, Volume 23, Issue 1, 1984, Pages 71-84.
[7]. D. Huybrechts, Complex Geometry, An Introduction, Univertext, Springer.
[8]. M. Reid, Undergraduate Algebraic Geometry, London Mathematical Society Student Texts 12, Cambridge University Press.
[9]. M. Artin, Algebra, Pearson Prentice Hall, 2011.
Cite this article
Feng,R. (2023). On nonsingular bilinear maps over different fields. Theoretical and Natural Science,11,256-271.
Data availability
The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.
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References
[1]. Daniel B. Shapiro, Compositions of Quadratic Forms, 2000, de Gruyter Expositions in Mathematics 33.
[2]. H. Hopf, Ein topo1ogischer Beitrag zur reellen Algebra, Comment. Math. Helv. 13 (1940/41), 219-239.
[3]. L. Smith, Nonsingular bilinear forms, generalized J homomorphisms, and the homotopy of spheres I, 1978, Indiana Univ. Math. J. 27, 697–737.
[4]. E. Arbarello, M. Cornalba, P. A. Griffiths, J. Harris, Geometry of Algebraic Curves, Volume I, 1985, Springer.
[5]. D. Mumford, The Red Book of Varieties and Schemes, 1974, Lecture notes in mathematics 1358, Springer.
[6]. J. Harris, L. W. Tu, On symmetric and skew-symmetric determinantal varieties, Topology, Volume 23, Issue 1, 1984, Pages 71-84.
[7]. D. Huybrechts, Complex Geometry, An Introduction, Univertext, Springer.
[8]. M. Reid, Undergraduate Algebraic Geometry, London Mathematical Society Student Texts 12, Cambridge University Press.
[9]. M. Artin, Algebra, Pearson Prentice Hall, 2011.