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Singular tuples of matrices is not a null cone (and, the symmetries of algebraic varieties)
Visu Makam, Avi Wigderson
The following multi-determinantal algebraic variety plays a central role in algebra, algebraic geometry and computational complexity theory: , consisting of all $…
math.RT2019
Invariant theory and wheeled PROPs
Harm Derksen, Visu Makam
We study the category of wheeled PROPs using tools from Invariant Theory. A typical example of a wheeled PROP is the mixed tensor algebra , whe…
math.RT2019
An exponential lower bound for the degrees of invariants of cubic forms and tensor actions
Harm Derksen, Visu Makam
Using the Grosshans Principle, we develop a method for proving lower bounds for the maximal degree of a system of generators of an invariant ring. This method also gives lower boun…