Algebraic geometry Algorithms Algebra Algebraic Geometry Algebraic combinatorics Analyse combinatoire Applications of Mathematics Combinatorial analysis Combinatorial aspects of simplicial complexes Combinatorics Computer science-Mathematics Curves Cycles and subschemes Elliptic curves Field theory and polynomials General valuation theory Geometry Géométrie tropicale Local singularities Mathematics Non-Archimedean analysis (should also be assigned at least one other classification number from Section 32 describing the type of problem) None of the above, but in this section Polyhedra and polytopes; regular figures, division of spaces Real and complex geometry Several complex variables and analytic spaces Singularities Special varieties Symbolic and Algebraic Manipulation Topological fields Toric varieties, Newton polyhedra