Real rational curves in Grassmannians

DOI10.1090/S0894-0347-99-00323-9zbMath0946.14035arXivmath/9904167MaRDI QIDQ4942941

Frank J. Sottile

Publication date: 15 March 2000

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9904167

zbMATH Keywords

enumerative geometrynumber of real solutions

Mathematics Subject Classification ID

Pole and zero placement problems (93B55) Grassmannians, Schubert varieties, flag manifolds (14M15) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Relationships between surfaces, higher-dimensional varieties, and physics (14J81) Real algebraic and real-analytic geometry (14P99)

Related Items (7)

PBW degenerations, quiver Grassmannians, and toric varieties ⋮ Elementary transversality in the Schubert calculus in any characteristic ⋮ Real Schubert Calculus: Polynomial Systems and a Conjecture of Shapiro and Shapiro ⋮ Numerical Evidence for a Conjecture in Real Algebraic Geometry ⋮ A sagbi basis for the quantum Grassmannian ⋮ Quantum generalization of the Horn conjecture ⋮ Birkhoff Strata of Sato Grassmannian and Algebraic Curves

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical Schubert calculus
• A smooth compactification of the space of transfer functions with fixed McMillan degree
• Quantum Schubert calculus
• FUSION RESIDUES
• On Dynamic Feedback Compensation and Compactification of Systems
• Pieri’S Formula Via Explicit Rational Equivalence
• Pieri Homotopies for Problems in Enumerative Geometry Applied to Pole Placement in Linear Systems Control
• Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians
• Dynamic Pole Assignment and Schubert Calculus
• A sagbi basis for the quantum Grassmannian

This page was built for publication: Real rational curves in Grassmannians