References
[1]. J. F. Adams, Vector fields on spheres, Ann. of Math. 75, 603-632, 1962.
[2]. J. F. Adams, P. Lax and R. Phillips, On matrices whose real linear combinations are non-singular, Proc. Amer. Math. Soc., 16:318-322, 1965. Corrections to “On matrices whose real linear combinations are non-singular”, Proc. Amer. Math.Soc., 17: 945-947, 1966.
[3]. E. Arbarello, M. Cornalba, P. A. Griffiths, J. Harris, Geometry of Algebraic Curves, Volume I, 1985, Springer.
[4]. I. S. Gradshteyn, I. M. Ryzhik, Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, pp. 1111-1112, 2000.
[5]. K. Y. Lam, and D. Randall, Geometric dimension of bundles on real projective spaces, In: Homotopy Theory and Its Applications, a conference on algebraic topology in honor of Samuel Gitler, August 9-13, 1993, Cocoyoc, Mexico (A.Adem, R. J. Milgram and D. C. Ravenel, eds.), Contemp. Math. 188, Amer. Math. Soc., Providence, 129–152.
[6]. S. Lang, Algebra, Graduate Texts in Mathematics 211, Springer.
[7]. Z. Z. Petrovi´c, On nonsingular matrices and Bott periodicity, Publications de l’Institut Math´ematique 65(79).85: 97-102, 1999.
[8]. I. R. Shafarevich, Basic Algebraic Geometry 1: Varieties in Projective Space, Springer, 2013.
[9]. D. B. Shapiro, Compositions of Quadratic Forms, de Gruyter Expositions in Mathematics 33, 2000.
[10]. H. Weyl, The classical groups, Princeton University Press, 1946.
Cite this article
Zhou,X. (2024). RETRACTED ARTICLE: Linear sections of determinantal varieties. Theoretical and Natural Science,42,271-274.
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]. J. F. Adams, Vector fields on spheres, Ann. of Math. 75, 603-632, 1962.
[2]. J. F. Adams, P. Lax and R. Phillips, On matrices whose real linear combinations are non-singular, Proc. Amer. Math. Soc., 16:318-322, 1965. Corrections to “On matrices whose real linear combinations are non-singular”, Proc. Amer. Math.Soc., 17: 945-947, 1966.
[3]. E. Arbarello, M. Cornalba, P. A. Griffiths, J. Harris, Geometry of Algebraic Curves, Volume I, 1985, Springer.
[4]. I. S. Gradshteyn, I. M. Ryzhik, Tables of Integrals, Series, and Products, 6th ed. San Diego, CA: Academic Press, pp. 1111-1112, 2000.
[5]. K. Y. Lam, and D. Randall, Geometric dimension of bundles on real projective spaces, In: Homotopy Theory and Its Applications, a conference on algebraic topology in honor of Samuel Gitler, August 9-13, 1993, Cocoyoc, Mexico (A.Adem, R. J. Milgram and D. C. Ravenel, eds.), Contemp. Math. 188, Amer. Math. Soc., Providence, 129–152.
[6]. S. Lang, Algebra, Graduate Texts in Mathematics 211, Springer.
[7]. Z. Z. Petrovi´c, On nonsingular matrices and Bott periodicity, Publications de l’Institut Math´ematique 65(79).85: 97-102, 1999.
[8]. I. R. Shafarevich, Basic Algebraic Geometry 1: Varieties in Projective Space, Springer, 2013.
[9]. D. B. Shapiro, Compositions of Quadratic Forms, de Gruyter Expositions in Mathematics 33, 2000.
[10]. H. Weyl, The classical groups, Princeton University Press, 1946.