Projective dynamics of homogeneous systems: local invariants, syzygies and the Global Residue Theorem

DOI10.1017/S0013091511000435zbMath1279.37020OpenAlexW2032110359MaRDI QIDQ3167438

Alexander Kononovich, Yakov Krasnov, Zalman Balanov

Publication date: 2 November 2012

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

Full work available at URL: https://doi.org/10.1017/s0013091511000435

zbMATH Keywords

local invariantspolynomial vector fieldsprojective dynamicsplanar dynamical systemsglobal residue theoremEuler-Jacobi theorem

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Dynamics induced by flows and semiflows (37C10) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Algebraic and analytic properties of mappings on manifolds (58K20)

Related Items (3)

Properties of ODEs and PDEs in algebras ⋮ Step-by-step resolution of singularities and studying interactions between them ⋮ Variety of Idempotents in Nonassociative Algebras

Cites Work

• Residue currents and Bezout identities
• Analytic residues along algebraic cycles
• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• Complex Structures in Real Algebras. I. Two-Dimensional Commutative Case

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