An effective method for computing Grothendieck point residue mappings
From MaRDI portal
Publication:2062746
DOI10.1016/j.jalgebra.2021.11.013zbMath1484.32006arXiv2011.09092OpenAlexW3216327560MaRDI QIDQ2062746
Katsusuke Nabeshima, Shinichi Tajima
Publication date: 3 January 2022
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.09092
Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Local cohomology and algebraic geometry (14B15) Residues for several complex variables (32A27) Local cohomology of analytic spaces (32C36)
Uses Software
Cites Work
- Residue formula for Morita-Futaki-Bott invariant on orbifolds
- Computing Tjurina stratifications of \(\mu \)-constant deformations via parametric local cohomology systems
- Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals
- Singularities of holomorphic foliations
- An algorithm for computing Grothendieck local residues. II: General case
- Résidus des sous-variétés invariantes d'un feuilletage singulier. (Residues of invariant submanifolds of singular foliations)
- Annihilating ideals for an algebraic local cohomology class
- Vector fields on singular varieties
- Constant Milnor number implies constant multiplicity for quasihomogeneous singularities
- A transformation formula for Grothendieck residues and some of its applications
- Variations on a theorem of Abel
- Multidimensional residues and ideal membership
- Isolated points, duality and residues
- On localizing Futaki-Morita integrals at isolated degenerate zeros
- Local residues of holomorphic 1-forms on an isolated surface singularity
- Determination of Baum-Bott residues of higher codimensional foliations
- An algorithm for computing Grothendieck local residues. I: Shape basis case
- Algebraic local cohomology classes attached to quasi-homogeneous hypersurface isolated singularities
- Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
- Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
- Introduction to Grothendieck duality theory
- Solving Extended Ideal Membership Problems in Rings of Convergent Power Series via Gröbner Bases
- Computing Logarithmic Vector Fields Associated with Parametric Semi-Quasihomogeneous Hypersurface Isolated Singularities
- Computation of inverses in residue class rings of parametric polynomial ideals
- Efficient Computation of Algebraic Local Cohomology Classes and Change of Ordering for Zero-Dimensional Standard Bases
- ON THE LOCAL RESIDUE AND THE INTERSECTION FORM ON THE VANISHING COHOMOLOGY
- Integral Representation Formulae and Grothendieck Residue Symbol
- Zeroes of Holomorphic Vector Fields and the Grothendieck Residue
- Zeroes of Holomorphic Vector Fields and Grothendieck Duality Theory
- The Invariance of Milnor's Number Implies the Invariance of the Topological Type
- Une généralisation de la loi de transformation pour les résidus
- A Bott-Type Residue Formula on Complex Orbifolds
- Residue formulas for logarithmic foliations and applications
- Computing Multidimensional Residues
- On the index of a holomorphic vector field tangent to a singular variety
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: An effective method for computing Grothendieck point residue mappings