2 papers
math.AG2025
Viro's patchworking and the signed reduced A-discriminant
Weixun Deng, J. Maurice Rojas, Máté L. Telek
Computing the isotopy type of a hypersurface, defined as the positive real zero set of a multivariate polynomial, is a challenging problem in real algebraic geometry. We focus on t…
math.AG2025
Optimal Bounds for the Number of Pieces of Near-Circuit Hypersurfaces
Weixun Deng, J. Maurice Rojas, Cordelia Russell
Suppose is a polynomial in variables with real coefficients, exactly monomial terms, and Newton polytope of positive volume. Estimating the number of connected compon…