Phrase guide

Schubert calculus

noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

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Pronunciation

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1

noun

Meaning 1

A branch of algebraic geometry concerned with solving certain types of counting problem in projective geometry; a symbolic calculus used to represent and solve such problems;

Definition source: English Wiktionary via Wiktextract

Usage: uncountable

Topics: mathematics, sciences

Examples

  • 2014, Thomas Lam, Luc Lapointe, Jennifer Morse, Anne Schilling, Mark Shimozono, Mike Zabrocki, k-Schur Functions and Affine Schubert Calculus, Springer, Fields Institute for Research in the Mathematical Sciences, page 2, The rich combinatorial backbone of the theory of Schur functions, including the Robinson–Schensted algorithm, jeu-de-taquin, the plactic monoid (see for example [139]), crystal bases [127], and puzzles [74], now underlies Schubert calculus and in particular produces a direct formula for the Littlewood-Richardson coefficients.
  • 2016, Letterio Gatto, Parham Salehyan, Hasse-Schmidt Derivations on Grassmann Algebras, IMPA, Springer, page 117, This point of view was extensively developed by Laksov–Thorup [96–98] and Laksov [93, 94] in the case of equivariant Schubert calculus.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

A branch of algebraic geometry concerned with solving certain types of counting problem in projective geometry; a symbolic calculus used to represent and solve such problems; (by generalisation) the enumerative geometry of linear subspaces; the study of analogous questions in generalised cohomology theories.

the enumerative geometry of linear subspaces; the study of analogous questions in generalised cohomology theories.

Definition source: English Wiktionary via Wiktextract

Usage: uncountable

Topics: mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

Named after German mathematician Hermann Schubert (1848–1911), who introduced the theory in the nineteenth century.