Multidimensional residues and polynomial equations

DOI10.1007/s10958-006-0021-1zbMath1090.14017OpenAlexW1994764627MaRDI QIDQ2488361

G. N. Khimshiashvili

Publication date: 23 May 2006

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-006-0021-1

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Poisson manifolds; Poisson groupoids and algebroids (53D17) Semialgebraic sets and related spaces (14P10) Topology of real algebraic varieties (14P25) Residues for several complex variables (32A27)

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Cites Work

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• Some algebraic structures connected with the Yang-Baxter equation. Representations of quantum algebras
• Some algebraic structures connected with the Yang-Baxter equation
• On the Euler characteristic of analytic and algebraic sets
• Invarianten quasihomogener vollständiger Durchschnitte
• An algebraic formula for the degree of a \(C^\infty\) map germ. Sur une inegalite a la Minkowski pour les multiplicites
• Index of a singular point of a vector field, the Petrovskii-Oleinik inequality, and mixed Hodge structures
• Lectures on the geometry of Poisson manifolds
• Poisson cohomology of plane quadratic Poisson structures
• The index of non algebraically isolated singularities
• Universality theorems for configuration spaces of planar linkages
• On certain super-integrable Hamiltonian systems
• Counting real roots of polynomial endomorphisms.
• Polynomial Poisson algebras with regular structure of symplectic leaves
• Über die Vielfachheit einer holomorphen Abbildung
• Remarks about differentiable mappings of finite multiplicity
• On configuration spaces of planar pentagons
• Real algebraic manifolds
• On one class of exact Poisson structures
• The expected number of real roots of a multihomogeneous system of polynomial equations
• The Euler characteristic of algebraic complete intersections.
• Differential Topology
• How many zeros of a random polynomial are real?
• EULER CHARACTERISTIC OF THE MODULI SPACE OF POLYGONS IN HIGHER-DIMENSIONAL EUCLIDEAN SPACE
• On the average number of real roots of a random algebraic equation
• Umbilic points on Gaussian random surfaces
• On the moduli space of polygons in the Euclidean plane

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