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math.AG2024
Decompositions of powers of quadrics
Cosimo Flavi
We analyze the problem of determining Waring decompositions of the powers of any quadratic form over the field of complex numbers. Our main goal is to provide information about the…
math.AG2024
Symmetric powers: structure, smoothability, and applications
Cosimo Flavi, Joachim Jelisiejew, Mateusz Michałek
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 u…