Commutative algebra Algebra Algebra, Homological Algebraic geometry Algèbre Algèbre commutative Algèbre homologique Applications Combinatorial group theory Combinatorics Cycles and subschemes Determinantal varieties Geometry Geometry, Algebraic Géométrie Géométrie algébrique Graph theory Homological functors on modules (Tor, Ext, etc.) Homological methods Linkage, complete intersections and determinantal ideals MATHEMATICS Parametrization (Chow and Hilbert schemes) Projective and enumerative geometry Projective techniques Singularités (Mathématiques) Singularities (Mathematics) Special varieties Surfaces and higher-dimensional varieties Syzygies, resolutions, complexes Theory of modules and ideals