Results 11 to 20 of about 917 (46)
$C^r$-right equivalence of analytic functions [PDF]
, 2014 Let $f,g:(\mathbb{R}^n,0)\rightarrow (\mathbb{R},0)$ be analytic functions. We will show that if $\nabla f(0)=0$ and $g-f \in (f)^{r+2}$ then $f$ and $g$ are $C^r$-right equivalent, where $(f)$ denote ideal generated by $f$ and $r\in \mathbb{N}$.Comment:
Migus, Piotr
core +2 more sources
A criterion for topological equivalence of two variable complex analytic function germs [PDF]
, 2008 We show that two analytic function germs $(\C^2,0) \to (\C,0)$ are topologically right equivalent if and only if there is a one-to-one correspondence between the irreducible components of their zero sets that preserves the multiplicites of these ...
Parusinski, Adam
core +3 more sources
Representation type via Euler characteristics and singularities of quiver Grassmannians
Bulletin of the London Mathematical Society, Volume 51, Issue 5, Page 815-835, October 2019., 2019 Abstract In this paper, we characterize the representation type of an acyclic quiver by the properties of its associated quiver Grassmannians. This characterization utilizes and extends known results about singular quiver Grassmannians and cell decompositions into affine spaces.
Oliver Lorscheid, Thorsten Weist
wiley +1 more source
$F$-SIGNATURE UNDER BIRATIONAL MORPHISMS
Forum of Mathematics, Sigma, 2019 We study $F$-signature under proper birational morphisms $\unicode[STIX]{x1D70B}:Y\rightarrow X$, showing that $F$-signature strictly increases for small morphisms or if $K_{Y}\leqslant \unicode[STIX]{x1D70B}^{\ast }K_{X}$.
LINQUAN MA +3 more
doaj +1 more source
Regular orbit closures in module varieties [PDF]
, 2006 Let A be a finitely generated associative algebra over an algebraically closed field. We characterize the finite dimensional modules over A whose orbit closures are regular varieties.Comment: 11 ...
Loc, Nguyen Quang, Zwara, Grzegorz
core +3 more sources
A BOUND ON EMBEDDING DIMENSIONS OF GEOMETRIC GENERIC FIBERS
Forum of Mathematics, Sigma, 2016 The author finds a limit on the singularities that arise in geometric generic fibers of morphisms between smooth varieties of positive characteristic by studying changes in embedding dimension under inseparable field extensions.
ZACHARY MADDOCK
doaj +1 more source
An irreducibility criterion for power series
, 2016 We prove an irreducibility criterion for polynomials with power series coefficients generalizing previous known results concerning quasi-ordinary ...
Rond, Guillaume, Schober, Bernd
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HEEGAARD FLOER HOMOLOGY AND RATIONAL CUSPIDAL CURVES
Forum of Mathematics, Sigma, 2014 We apply the methods of Heegaard Floer homology to identify topological properties of complex curves in $\mathbb{C}P^{2}$. As one application, we resolve an open conjecture that constrains the Alexander polynomial of the ...
MACIEJ BORODZIK, CHARLES LIVINGSTON
doaj +1 more source
Equimultiple Locus of Embedded Algebroid Surfaces and Blowing–up in Characteristic Zero [PDF]
, 2004 2000 Mathematics Subject Classification: 14B05, 32S25.The smooth equimultiple locus of embedded algebroid surfaces appears naturally in many resolution processes, both classical and modern.
Piedra-Sánchez, R., Tornero, J.
core
A remark on Mishchenko-Fomenko algebras and regular sequences
, 2017 In this note, we show that the free generators of the Mishchenko-Fomenko subalgebra of a complex reductive Lie algebra, constructed by the argument shift method at a regular element, form a regular sequence.
Moreau, Anne
core +1 more source