GSV-index for holomorphic Pfaff systems
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Publication:2200456
DOI10.25537/dm.2020v25.1011-1027zbMath1447.58001arXiv1611.09376OpenAlexW2558055517MaRDI QIDQ2200456
Diogo da Silva Machado, Maurício Barros Corrêa Jr.
Publication date: 22 September 2020
Published in: Documenta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.09376
Pfaffian systems (58A17) Singularities of holomorphic vector fields and foliations (32S65) Index theory for dynamical systems, Morse-Conley indices (37B30) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25) Dynamical aspects of holomorphic foliations and vector fields (37F75)
Related Items (3)
Invariant algebraic surfaces of polynomial vector fields in dimension three ⋮ Computing regular meromorphic differential forms via Saito's logarithmic residues ⋮ On Gauss-Bonnet and Poincar\'e-Hopf type theorems for complex $\partial$-manifolds
Cites Work
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- Bounds for sectional genera of varieties invariant under Pfaff fields
- Algebraic integrability of polynomial differential \(r\)-forms
- Bounding the regularity of subschemes invariant under Pfaff fields on projective spaces
- Holomorphic foliations in \(CP(2)\) having an invariant algebraic curve
- Vector fields on singular varieties
- Invariant varieties through singularities of holomorphic vector fields
- On a generalization of de Rham lemma
- The Poincaré problem for hypersurfaces invariant by one-dimensional foliations
- First variation of holomorphic forms and some applications
- Some remarks on indices of holomorphic vector fields
- Bounding the degree of solutions to Pfaff equations
- A residue formula for the index of a holomorphic flow
- The index of a holomorphic flow with an isolated singularity
- A Poincaré type inequality for one-dimensional multiprojective foliations
- A note on Poincaré’s problem for quasi-homogeneous foliations
- GSV-indices as residues
- On the singular scheme of split foliations
- Hypersurfaces invariant by Pfaff systems
- AN ADJUNCTION FORMULA FOR LOCAL COMPLETE INTERSECTIONS
- Bounding Solutions of Pfaff Equations
- Indices of Holomorphic Vector Fields Relative to Invariant Curves on Surfaces
- On the index of a holomorphic vector field tangent to a singular variety
- MULTIDIMENSIONAL RESIDUE THEORY AND THE LOGARITHMIC DE RHAM COMPLEX
- A Generalized Koszul Complex. II. Depth and Multiplicity
- On the Poincaré inequality for one-dimensional foliations
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