On the Effective Membership Problem for Polynomial Ideals
From MaRDI portal
Publication:4562591
DOI10.1007/978-3-319-52471-9_6zbMath1405.32008arXiv1211.5096OpenAlexW2148358632MaRDI QIDQ4562591
Mats Andersson, Elizabeth Wulcan
Publication date: 17 December 2018
Published in: Trends in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.5096
Analytic subsets and submanifolds (32C25) Analytic subsets of affine space (32B15) Holomorphic functions of several complex variables (32A99)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some variants of Macaulay's and Max Noether's theorems
- Degree bounds for the division problem in polynomial ideals
- Explicit representation of membership in polynomial ideals
- Sparse effective membership problems via residue currents
- Canonical representatives in moderate cohomology
- The membership problem for polynomial ideals in terms of residue currents
- Integral representation with weights. II: Division and interpolation
- Lückengarben von kohärenten analytischen Modulgarben
- Uniform bounds in noetherian rings
- A geometric effective Nullstellensatz
- Residue currents of the Bochner-Martinelli type
- Residue currents and ideals of holomorphic functions
- The complexity of the word problems for commutative semigroups and polynomial ideals
- A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas
- On the duality theorem on an analytic variety
- Global effective versions of the Briançon-Skoda-Huneke theorem
- A residue criterion for strong holomorphicity
- On the effective Nullstellensatz
- Decomposition of residue currents
- Residue currents with prescribed annihilator ideals
- The Geometry of Syzygies
- What can be computed in algebraic geometry?
- Noether-Lasker Decomposition of Coherent Analytic Subsheaves
This page was built for publication: On the Effective Membership Problem for Polynomial Ideals