Tjurina Number of a Generic Irreducible Curve Singularity
نویسندگان
چکیده
منابع مشابه
Exponents of an Irreducible Plane Curve Singularity
exp(2 i( p 1 i ) are the eigenvalues of the Milnor monodromy and their integral part is determined by the Hodge ltration of the mixed Hodge structure. This notion was rst introduced by Steenbrink [11]. By [14] the exponents are constant under -constant deformation of f . In particular, they depend only on f 1 (0). They express the vanishing order (up to the shift by one) of the period integrals...
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The Poincaré series of an irreducible plane curve singularity equals the ζ-function of its monodromy, by a result of Campillo, Delgado and GuseinZade. We derive this fact from a formula of Ebeling and Gusein-Zade relating the Poincaré series of a quasi-homogeneous complete intersection singularity to the Saito dual of a product of ζ-functions. Several cases are known where the ζ-function of the...
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1 By using the effective notion of the approximate roots of a polynomial, we describe the equisingularity classes of irreducible curve singularities with a given Milnor number.
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A theory of highest weight modules over an arbitrary nite-dimensional Lie su-peralgebra is constructed. A necessary and suucient condition for the nite-dimensionality of such modules is proved. Generic nite-dimensional irreducible representations are deened and an explicit character formula for such representations is written down. It is conjectured that this formula applies to any generic nite...
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let $g$ be a finite group and let $n$ be a normal subgroup of $g$. suppose that ${rm{irr}} (g | n)$ is the set of the irreducible characters of $g$ that contain $n$ in their kernels. in this paper, we classify solvable groups $g$ in which the set $mathcal{c} (g) = {{rm{irr}} (g | n) | 1 ne n trianglelefteq g }$ has at most three elements. we also compute the set $mathcal{c}(g)$ for suc...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1997
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7073