Heisuke HironakaBorn 9 Apr 1931.Japanese mathematician who was awarded the Fields Medal in 1970 for his work in algebraic geometry giving a number of technical results, including the resolution of certain singularities and torus imbeddings with implications in the theory of analytic functions, and complex and Kähler manifolds. In simple terms, an algebraic variety is the set of all the solutions of a system of polynomial equations in some number of variables. Nonsingular varieties would be those that may not cross themselves. The problem is whether any variety is equivalent to one that is nonsingular. Oscar Zariski had shown earlier that this was true for varieties with dimension up to three. Hironaka showed that it is true for other dimensions. |
