Publikation: Symmetric Powers : Structure, Smoothability, and Applications
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2025
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International Mathematics Research Notices (IMRN). Oxford University Press (OUP). 2025, 2025(18), rnaf277. ISSN 1073-7928. eISSN 1687-0247. Verfügbar unter: doi: 10.1093/imrn/rnaf277
Zusammenfassung
We investigate border ranks of twisted powers of polynomials and smoothability of symmetric powers of algebras. We prove that the latter are smoothable. For the former, we obtain upper bounds for the border rank in general and prove that they are optimal under mild conditions. We give applications to complexity theory. Many of the results rest on the notion of an encompassing polynomial, which we introduce.
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510 Mathematik
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FLAVI, Cosimo, Joachim JELISIEJEW, Mateusz MICHALEK, 2025. Symmetric Powers : Structure, Smoothability, and Applications. In: International Mathematics Research Notices (IMRN). Oxford University Press (OUP). 2025, 2025(18), rnaf277. ISSN 1073-7928. eISSN 1687-0247. Verfügbar unter: doi: 10.1093/imrn/rnaf277BibTex
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