Dependence between homogeneous components of polynomials with small degree of Poisson bracket
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Publication:5075523
DOI10.4064/ap210126-4-1zbMath1497.13035arXiv2101.09481OpenAlexW4285211228MaRDI QIDQ5075523
Publication date: 16 May 2022
Published in: Annales Polonici Mathematici (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.09481
Automorphisms and endomorphisms (16W20) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10)
Cites Work
- Multidegrees of tame automorphisms in dimension three
- On the Karaś type theorems for the multidegrees of polynomial automorphisms
- On multidegrees of tame and wild automorphisms of \(\mathbb C^3\)
- A generalization of the Shestakov-Umirbaev inequality
- Shestakov-Umirbaev reductions and Nagata's conjecture on a polynomial automorphism
- Tame automorphisms of \(\mathbb C^3\) with multidegree of the form \((3,d_{2},d_{3})\)
- Degree estimate for commutators.
- Polynomial mappings with Jacobian determinant of bounded degree
- Analogs of Jacobian conditions for subrings
- Separability of wild automorphisms of a polynomial ring
- Degree estimate for subalgebras generated by two elements.
- There is no tame automorphism of $\mathbb{C}^{3}$ with multidegree $(3,4,5)$
- Multidegrees of tame automorphisms of Cn
- Poisson brackets and two-generated subalgebras of rings of polynomials
- The tame and the wild automorphisms of polynomial rings in three variables
- The Nagata automorphism is wild
- The strong Nagata conjecture
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