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Schubert calculus

Schubert cells and Schubert calculus

Schubert calculus is a formal calculus in enumerative geometry, which geometrically reduces to the combinatorics and intersection theory of so-called Schubert cells in Grassmanians.

Rigorous foundations of Schubert calculus is the content of 15-th Hilbert’s problem.

• eom: Frank Sotile, Schubert calculus
• wikipedia Schubert calculus
• H. Schubert, Kalkül der abzählenden Geometrie, Springer (1879) (Reprinted (with an introduction by S. Kleiman): 1979), MR0555576
• S.L. Kleiman, D. Laksov, Schubert calculus, Amer. Math. Monthly 79 (1972) pp. 1061–1082, MR0323796, jstor
• Nora Ganter, Arun Ram, Generalized Schubert calculus, arxiv/1212.5742

category: combinatorics, algebraic geometry