Some $K$-theoretic properties of the kernel of a locally nilpotent derivation on $k[X_1, \dots , X_4]$

DOI10.1090/tran/6649zbMath1353.13030arXiv1501.01438OpenAlexW2593182002WikidataQ60395280 ScholiaQ60395280MaRDI QIDQ2826762

Neena Gupta, Swapnil A. Lokhande, Shrikaut M. Bhatwadekar

Publication date: 18 October 2016

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.01438

zbMATH Keywords

polynomial ringPicard groupprojective moduleGrothendieck grouplocally nilpotent derivation

Mathematics Subject Classification ID

Projective and free modules and ideals in commutative rings (13C10) Actions of groups on commutative rings; invariant theory (13A50) Derivations and commutative rings (13N15) Grothendieck groups, (K)-theory and commutative rings (13D15)

Related Items (4)

Nice derivations over principal ideal domains ⋮ On the triviality of a family of linear hyperplanes ⋮ ON SEPARABLE AND -FORMS ⋮ Some recent results in the area of non-complete algebraic varieties

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Polynomial ring in two variables over a D.V.R.: A criterion
• Cancellation over commutative rings of dimension one and two
• K-theory and analytic isomorphisms
• Stability theorems for overrings of polynomial rings
• Locally polynomial algebras are symmetric algebras
• Propriétés topologiques des polynômes de deux variables complexes et automorphismes algébriques de l'espace \(C^2\)
• On the cancellation problem for the affine space \(\mathbb{A}^{3}\) in characteristic \(p\)
• On finite generation of kernels of locally nilpotent \(R\)-derivations of \(R[X,Y,Z\)]
• On the family of affine threefolds
• A note on triangular derivations of $\mathbf {k}[X_1,X_2,X_3,X_4$]
• A Note on Finite Dimensional Subrings of Polynomial Rings
• Projective modules over polynomial rings
• Algebraic \(K\)-theory.
• Algebraic theory of locally nilpotent derivations

This page was built for publication: Some $K$-theoretic properties of the kernel of a locally nilpotent derivation on $k[X_1, \dots , X_4]$