Results 11 to 20 of about 14,968 (88)

Self-dual modules over local rings of curve singularities

open access: yesJournal of Pure and Applied Algebra, 2006
Let \(R\) be the complete local ring of a reduced curve singularity with residue field of characteristic \(0\). \(R\) is called of finite self-dual type if there exist only finitely many isomorphism classes of indecomposable, self-dual, torision-free \(R\)-modules.
openaire   +1 more source

The symmetric signature

open access: yes, 2016
We define two related invariants for a $d$-dimensional local ring $(R,\mathfrak{m},k)$ called syzygy and differential symmetric signature by looking at the maximal free splitting of reflexive symmetric powers of two modules: the top dimensional syzygy ...
Brenner, Holger, Caminata, Alessio
core   +1 more source

Singular curves and quasi-hereditary algebras

open access: yes, 2016
In this article we construct a categorical resolution of singularities of an excellent reduced curve $X$, introducing a certain sheaf of orders on $X$. This categorical resolution is shown to be a recollement of the derived category of coherent sheaves ...
Burban, Igor   +2 more
core   +1 more source

The bi-graded structure of Symmetric Algebras with applications to Rees rings

open access: yes, 2016
Consider a rational projective plane curve C parameterized by three homogeneous forms h1,h2,h3 of the same degree d in the polynomial ring R=k[x,y] over the field k.
Kustin, Andrew   +2 more
core   +1 more source

On the smoothings of non-normal isolated surface singularities

open access: yes, 2015
We show that isolated surface singularities which are non-normal may have Milnor fibers which are non-diffeomorphic to those of their normalizations. Therefore, non-normal isolated singularities enrich the collection of Stein fillings of links of normal ...
Popescu-Pampu, Patrick
core   +1 more source

On a classification of ideals of local rings for irreducible curve singularities

open access: yes, 2011
We consider a classification problem of ideals by codimension in case rings are the local rings of irreducible curve singularities. In this paper, we introduce a systematic method to solve this problem.
openaire   +2 more sources

Simultaneous semi-stable reduction for curves with ADE singularities

open access: yes, 2012
A key tool in the study of algebraic surfaces and their moduli is Brieskorn's simultaneous resolution for families of algebraic surfaces with simple (du Val or ADE) singularities.
Casalaina-Martin, Sebastian, Laza, Radu
core   +1 more source

The Valuative Theory of Foliations

open access: yes, 2001
We describe the valuations following infinitely near singular points of a (singular) holomorphic foliation in the complex plane. They appear to be those satisfying a generalization of L'Hopital's rule. With them, we characterize dicritical vector fields,
Ayuso, Pedro Fortuny
core   +2 more sources

A Model of Interacting Navier-Stokes Singularities. [PDF]

open access: yesEntropy (Basel), 2022
Faller H, Fery L, Geneste D, Dubrulle B.
europepmc   +1 more source

Order recognition by Schubert polynomials generated by optical near-field statistics via nanometre-scale photochromism. [PDF]

open access: yesSci Rep, 2022
Uchiyama K   +8 more
europepmc   +1 more source

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