Nakai Conjecture: Mathematics, Algebraic Variety, Derivation (algebra)

Universal Algebraic Geometry: Geometry, Ring (mathematics), Variety (universal Algebra)

Determinantal Variety: Algebraic Geometry, Variety, Minor (linear algebra)

Tate Conjecture: Mathematics, Algebraic Cycle, Galois Module

Fujita Conjecture: Mathematics, Algebraic Geometry, Complex Manifold