Real enumerative geometry and effective algebraic equivalence

DOI10.1016/S0022-4049(97)00029-7zbMath0889.14026arXivalg-geom/9602005MaRDI QIDQ1358931

Frank J. Sottile

Publication date: 23 June 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/alg-geom/9602005

zbMATH Keywords

flag manifoldsenumerative problemdeformations of intersectionsfully real problem

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Real algebraic and real-analytic geometry (14P99)

Related Items (5)

The special Schubert calculus is real ⋮ Some remarks on real and complex output feedback ⋮ Sparse trace tests ⋮ Real Schubert Calculus: Polynomial Systems and a Conjecture of Shapiro and Shapiro ⋮ Lower bounds and asymptotics of real double Hurwitz numbers

Cites Work

• Plongements d'espaces homogènes
• Enumerative geometry for the real Grassmannian of lines in projective space
• Pieri's formula for flag manifolds and Schubert polynomials
• Filtrations on the homology of algebraic varieties
• Homotopies Exploiting Newton Polytopes for Solving Sparse Polynomial Systems
• Pieri’S Formula Via Explicit Rational Equivalence
• A Polyhedral Method for Solving Sparse Polynomial Systems
• The Hook Graphs of the Symmetric Group
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