A real variety with boundary and its global parameterization

1. Abiev, N.A., Arvanitoyeorgos, A., Nikonorov, Y.G., and Siasos, P., The dynamics of the Ricci flow on generalized Wallach spaces, Differ. Geom. Appl., 2014, vol. 35, pp. 26–43.

   Article  MathSciNet  MATH  Google Scholar 

2. Abiev, N.A., Arvanitoyeorgos, A., Nikonorov, Y.G.,and Siasos, P., The Ricci flow on some generalized Wallach spaces, in Geometry and its Applications, Rovenski, V and Walczak, P., Eds., Springer, 2014, vol. 72 of Springer Proceedings in Mathematics Statistics, pp. 3–37.

   Chapter  Google Scholar 

3. Abiev, N.A., Arvanitoyeorgos, A., Nikonorov, Y.G., and Siasos, P., The normalized Ricci flow on generalized Wallach spaces, Mat. Forum, Vladikavkaz: Yuzhnii Matematicheskii Institut, Vladikavkazskii Nauchnii Tsentr Ross. Akad. Nauk, 2014, vol. 8 of Studies in Mathematical Analysis, pp. 25–42.

   Google Scholar 

4. Chen, Z. and Nikonorov, Y.G., Invariant Einstein metrics on generalized Wallach spaces, Cornell University Library, 2015. https://arxiv.org/abs/1511.02567v1

   Google Scholar 

5. Abiev, N.A., On topological structure of some sets related to the normalized Ricci flow on generalized Wallach spaces, Vladikavkaz Math. J., 2015, vol. 17, no. 3, pp. 5–13.

   MathSciNet  Google Scholar 

6. Batkhin, A.B. and Bruno, A.D., On investigation of the certain real algebraic surface, Preprint of the Keldysh Institute of Applied Mathematics, Moscow, 2014, no. 83. http://www.keldysh.ru/papers/2014/prep2014_83.pdf [in Russian]

7. Batkhin, A.B. and Bruno, A.D., Investigation of a real algebraic surface, Program. Comput. Software, 2015, vol. 41, no. 2, pp. 74–83.

   Article  MathSciNet  MATH  Google Scholar 

8. Batkhin, A.B. and Bruno, A.D., Resolution of an algebraic singularity by power geometry algorithms, Program. Comput. Software, 2012, vol. 38, no. 2, pp. 57–72.

   Article  MathSciNet  MATH  Google Scholar 

9. Batkhin, A.B., Global parametrization of the certain real algebraic surface, Preprint of the Keldysh Institute of Applied Mathematics, Moscow, 2016, no. 76. http:// www.keldysh.ru/papers/2016/prep2016_76.pdf. [in Russian]

10. Meiman, N.N., Some problems on the distributions of the zeroes of polynomials, Usp. Mat. Nauk, 1949, vol. 4, no. 6(34), pp. 154–188.

    Google Scholar 

11. Prasolov, V.V., Polynomials, Berlin: Springer, 2004, vol. 11 of Algorithms and Computation in Mathematics.

12. Batkhin, A.B., Parametrization of the discriminant set of a real polynomial, Preprint of the Keldysh Institute of Applied Mathematics, Moscow, 2015, no. 76. http:// www.keldysh.ru/papers/2015/prep2015_76.pdf [in Russian]

13. Batkhin, A.B., Parameterization of the discriminant set of a polynomial, Program. Comput. Software, 2016, vol. 42, no. 2, pp. 65–76.

    Article  MathSciNet  MATH  Google Scholar 

14. van Hoeij, M., Computing parameterizations of rational algebraic curves, in Proc. of the Int. Symp. on Symbolic and algebraic computation ISSAC’94, ACM Press, 1994, pp. 187–190.

    Chapter  Google Scholar 

15. Uspensky, J.V., Theory of Equations, New York: McGraw-Hill, 1948.

    Google Scholar 

16. Sushkevich, A.K., Foundation of Higher Algebra, 4 ed., Moscow: ONTI, 1941 [in Russian].

    Google Scholar 

17. Sendra, J.R. and Sevilla, D., First steps towards radical parametrization of algebraic surfaces, Comput. Aided Geom. Design, 2013, vol. 30, p. 374–388.

    Article  MathSciNet  MATH  Google Scholar 

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