3 papers
math.AG2022
Countably many asymptotic tensor ranks
Andreas Blatter, Jan Draisma, Filip Rupniewski
In connection with recent work on gaps in the asymptotic subranks of complex tensors the question arose whether the number of nonnegative real numbers that arise as the asymptotic…
math.AG2022
A Tensor Restriction Theorem over Finite Fields
Andreas Blatter, Jan Draisma, Filip Rupniewski
Restriction is a natural quasi-order on -way tensors. We establish a remarkable aspect of this quasi-order in the case of tensors over a fixed finite field -- namely, that it is…
math.AG2022
Implicitisation and Parameterisation in Polynomial Functors
Andreas Blatter, Jan Draisma, Emanuele Ventura
In earlier work, the second author showed that a closed subset of a polynomial functor can always be defined by finitely many polynomial equations. In follow-up work on $\operatorn…