Polynomial-budget normalization of arbitrary Pfaffian presentations

Construct, or determine whether there exists, a normalization for every raw Pfaffian presentation that yields the anchored unit-range anti-concentration guarantees with polynomially bounded parameter budgets.

Background

The paper’s anchored normalization assumes a bounded Pfaffian chain and an explicit constant anchor function. Under those assumptions it derives finite projective-speed and root-hitting bounds, including a polynomial specialization.

The authors distinguish this restricted result from the unresolved general normalization problem for arbitrary raw Pfaffian presentations.