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math.AG2026
Khovanskii's Bezout-type Theorem for Pfaffian Functions: A Self-Contained Proof, and Applications
Martin Lotz, Abhiram Natarajan
We present a direct and self-contained proof of Khovanskii's Bezout-type bound for the number of nondegenerate solutions of a system of Pfaffian equations. We isolate the ingredien…
math.AG2026
Parameterwise Sharpness of Khovanskii's Bezout-type Bound for Pfaffian Functions
Terence Bickerton, Joseph Harrison, Olivia Hornakova +3
Khovanskii's theorem gives a Bezout-type upper bound for the number of isolated real solutions of a system of Pfaffian equations in variables in terms of three complexity p…