170 citations
- Polish Academy of SciencesPL35 papers
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27 papers · 1 filter
On the asymptotic linearity of Castelnuovo-Mumford regularity
Ngo Viet Trung, Hsin-Ju Wang
Let R be a standard graded ring over a commutative Noetherian ring with unity and I a graded ideal of R. Let M be a finitely generated graded R-module. We prove that there exist in…
Differential Equations for -Linear Functions, II: Regular Singularity
Anatoly N. Kochubei
We study some classes of equations with Carlitz derivatives for -linear functions, which are the natural function field counterparts of linear ordinary differential equations…
On extremal holomorphically contractible families
Marek Jarnicki, Witold Jarnicki, Peter Pflug
We prove that the category of generalized holomorphically contractible families possesses maximal and minimal objects. Moreover, we present basic properties of these extremal famil…
Positivity of mixed multiplicities
Ngo Viet Trung
This paper studies mixed multiplicities of an arbitrary standard bigraded algebra and mixed multiplicities of two ideals I, J in a local ring (A,m), where I is an m-primary ideal a…
Castelnuovo-Mumford regularity and extended degree
Maria Evelina Rossi, Ngo Viet Trung, Giuseppe Valla
The main result of this paper shows that the Castelnuovo-Mumford regularity of the tangent cone of a local ring is effectively bounded by the dimension and any extended degree. Fro…
Automorphisms of quantum and classical Poisson algebras
Janusz Grabowski, Norbert Poncin
We prove Pursell-Shanks type results for the Lie algebra D(M) of all linear differential operators of a smooth manifold M, for its Lie subalgebra D^1(M) of all linear first-order d…