3 papers
math.AC2021
The Proper Basis for Polynomial Ideals
Sheng-Ming Ma
We define a new type of ideal basis called the proper basis that improves both Gröbner basis and Buchberger's algorithm. Let be the least variable of a monomial ordering in a…
math.AG2014
A Newtonian and Weierstrassian Approach to Local Resolution of Singularities in Characteristic Zero
Sheng-Ming Ma
This paper formulates an elementary algorithm for resolution of singularities in a neighborhood of a singular point over a field of characteristic zero. The algorithm is composed o…
math.AG2010
The sharp bound for the number of real solutions to polynomial equation systems
Sheng-Ming Ma
This paper solves the open problem on the sharp bound for the number of isolated solutions in to the real system of polynomial equations in variables, i.e.…