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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
Tubular Neighbourhoods of Pfaffian Sets and Applications to Neural Networks
Paul Lezeau, Martin Lotz
We derive bounds for the volume of tubular neighbourhoods of smooth Pfaffian hypersurfaces, generalising known results for algebraic varieties. The bounds are given in terms of the…