A criterion to determine residual coordinates of \(\mathbb{A}^{2}\)-fibrations
From MaRDI portal
Publication:6182348
DOI10.1007/s12044-023-00764-0arXiv2212.03488OpenAlexW4389848531MaRDI QIDQ6182348
Prosenjit Das, Janaki Raman Babu
Publication date: 25 January 2024
Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.03488
Derivations and commutative rings (13N15) Polynomials over commutative rings (13B25) Affine fibrations (14R25)
Cites Work
- Unnamed Item
- Unnamed Item
- A triviality criterion for \(\mathbb{A}^2\)-fibrations over a ring containing \(\mathbb{Q}\)
- On cancellation of variables of the form \(b T^n - a\) over affine normal domains
- Structure of \(\mathbb A^2\)-fibrations over one-dimensional Noetherian domains
- Polynomial ring in two variables over a D.V.R.: A criterion
- Polynomial fibre rings of algebras over noetherian rings
- Generalized epimorphism theorem
- Seminormality, projective algebras, and invertible algebras
- On finding and cancelling variables in k[X,Y,Z]
- Locally nilpotent derivations over a UFD and an application to rank two locally nilpotent derivations of \(k[X_1,\dots,X_n\)]
- On residual coordinates and stable coordinates of \(R^{[3}\)]
- Residual coordinates over one-dimensional rings
- Structure of \(\mathbb{A}^2\)-fibrations having fixed point free locally nilpotent derivations
- Some results on retracts of polynomial rings
- A note on residual variables of an affine fibration
- On the uniqueness of the coefficient ring in a polynomial ring
- On residual variables and stably polynomial algebras
- Kernel of locally nilpotent ๐ -derivations of ๐ [๐,๐]
- On separable A1-forms
- Nonuniqueness of Coefficient Rings in a Polynomial Ring
- A note on partial coordinate system in a polynomial ring
- Rank and rigidity of locally nilpotent derivations of affine fibrations
- Derivations having divergence zero on \(R[X,Y\).]
This page was built for publication: A criterion to determine residual coordinates of \(\mathbb{A}^{2}\)-fibrations
