Linked from

The 16 pages that link to Alexander Grothendieck, each with the reason it gives.

• Algebraic geometryRelated: Schemes provided the framework for modern algebraic geometry.

• André WeilRelated: Grothendieck’s work completed key parts of the program Weil had initiated.

• Jean-Pierre SerreRelated: Serre’s correspondence and ideas helped shape Grothendieck’s approach to geometry.

• CohomologyRelated: His work reorganized algebraic geometry around powerful cohomology theories.

• Weil conjecturesRelated: His development of étale cohomology created the framework behind the conjectures' proof.

• Arithmetic geometryRelated: His scheme framework made arithmetic bases and families of varieties part of geometry.

• Snake lemmaRelated: His work helped establish the broad categorical setting used for homological algebra.

• Five lemmaRelated: Grothendieck’s categorical framework helped make diagram lemmas usable across broad areas of mathematics.

• Grothendieck–Riemann–Roch theoremRelated: He recast Riemann–Roch as a theorem about morphisms and characteristic classes.

• Hodge conjectureRelated: His broader program placed cycle-class questions within a structural theory of varieties.

• Belyi's theoremRelated: He recognized the combinatorial and Galois-theoretic significance of Belyi's theorem.

• Jean DieudonnéRelated: Dieudonné collaborated with Grothendieck on influential expositions of the foundations of algebraic geometry.

• Nine lemmaRelated: The lemma is commonly associated with the categorical style of homological algebra developed in his mathematical era.

• Riemann–Roch theorem for surfacesRelated: Grothendieck’s framework helped recast Riemann–Roch as a general theorem about maps and characteristic classes.

• Ax–Grothendieck theoremRelated: Grothendieck gave an independent route to the same injectivity-surjectivity result.

• Grothendieck–Katz p-curvature conjectureRelated: His proposed link between p-curvature and finite monodromy gives the conjecture its first name.