Abstract
In this paper we study the real rank of monomials and we give an upper bound for it. We show that the real and the complex ranks of a monomial coincide if and only if the least exponent is equal to one.
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Acknowledgments
We would like to thank A. Di Scala, C. Guo and G. Ottaviani for useful discussions. The first author was partially funded by the GNSAGA group of INDAM. The second author was supported by the Studienstiftung des deutschen Volkes. The third author was partially supported by G S Magnuson Fund from Kungliga Vetenskapsakademien. The third and the fourth author would like to thank the School of Mathematical Sciences at Monash University for the hospitality when this project started. The fourth author was supported from the Network program of the Department of Mathematics and Systems Analysis of Aalto University.
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Carlini, E., Kummer, M., Oneto, A. et al. On the real rank of monomials. Math. Z. 286, 571–577 (2017). https://doi.org/10.1007/s00209-016-1774-y
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DOI: https://doi.org/10.1007/s00209-016-1774-y