Results 21 to 30 of about 269 (35)
A note on integrating group scheme actions
, 2015 We prove a non-integrability result concerning iterative derivations on projective line, where the iterative rule is given by a non-algebraic formal ...
Hoffmann, Daniel, Kowalski, Piotr
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Weitzenböck Derivations and Classical Invariant Theory: I. Poincaré Series [PDF]
, 2010 2000 Mathematics Subject Classification: 13N15, 13A50, 16W25.By using classical invariant theory approach, formulas for computation of the Poincaré series of the kernel of linear locally nilpotent derivations are ...
Bedratyuk, Leonid
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On homogeneous locally nilpotent derivations of trinomial algebras
, 2018 We provide an explicit description of homogeneous locally nilpotent derivations of the algebra of regular functions on affine trinomial hypersurfaces. As an application, we describe the set of roots of trinomial algebras.Comment: 14 pages.
Gaifullin, Sergey, Zaitseva, Yulia
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Derivations of negative degree on quasihomogeneous isolated complete intersection singularities [PDF]
, 2014 J. Wahl conjectured that every quasihomogeneous isolated normal singularity admits a positive grading for which there are no derivations of negative weighted degree.
Granger, Michel, Schulze, Mathias
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Connections on modules over quasi-homogeneous plane curves
, 2007 Let k be an algebraically closed field of characteristic 0, and let $A = k[x,y]/(f)$ be a quasi-homogeneous plane curve. We show that for any graded torsion free A-module M, there exists a natural graded integrable connection, i.e.
Arnol'd V. I. +3 more
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On inductively free reflection arrangements
, 2013 Suppose that W is a finite, unitary reflection group acting on the complex vector space V. Let A = A(W) be the associated hyperplane arrangement of W. Terao has shown that each such reflection arrangement A is free.
Hoge, Torsten, Roehrle, Gerhard
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Notes on the characterization of derivations
, 2012 Although the characterization of ring derivations has an extensive literature, up to now, all of the characterizations have had the following form: additivity and another property imply that the function in question is a derivation.
Gselmann, Eszter
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Iterated socles and integral dependence in regular rings [PDF]
, 2014 Let $R$ be a formal power series ring over a field, with maximal ideal $\mathfrak m$, and let $I$ be an ideal of $R$ such that $R/I$ is Artinian. We study the iterated socles of $I$, that is the ideals which are defined as the largest ideal $J$ with $J ...
Corso, Alberto +4 more
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Hasse--Schmidt modules versus integrable connections
, 2019 We prove that, in characteristic 0, any Hasse-Schmidt module structure can be recovered from its underlying integrable connection, and consequently Hasse--Schmidt modules and modules endowed with an integrable connection coincide.Comment: 20 pages ...
Narváez-Macarro, L.
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