منابع مشابه
Classification of Simple Plane Curve Singularities and Their Auslander-reiten Quiver
This thesis is largely a consolidation of parts of lectures given by Yoshino, Y. at Tokyo Metropolitan University in 1987 (cf. [17]). We aim to investigate the Cohen-Macaulay modules of simple plane curve singularities. We consider such simple plane curve singularities algebraically as quotient rings R = k[[x, y]]/(f) of the formal power series ring in two variables over an algebraically closed...
متن کاملMotivic Zeta Functions for Curve Singularities
Let X be a complete, geometrically irreducible, singular, algebraic curve defined over a field of characteristic p big enough. Given a local ring OP,X at a rational singular point P of X, we attached a universal zeta function which is a rational function and admits a functional equation if OP,X is Gorenstein. This universal zeta function specializes to other known zeta functions and Poincaré se...
متن کاملComputing instanton numbers of curve singularities
We start with any polynomial p(x, y) defining a plane curve with singularity at 0 ∈ C. Let π: C̃ → C denote the blow-up of C at the origin and let j be a positive integer. The data (j, p) determines a holomorphic bundle E(j, p) on C̃ with splitting type j and extension class p. We then algorithmically compute numerical invariants of the bundle E(j, p) and use them as invariants of the curve. A co...
متن کاملEquisingular calculations for plane curve singularities
We present an algorithm which, given a deformation with section of a reduced plane curve singularity, computes equations for the equisingularity stratum (that is, the μ-constant stratum in characteristic 0) in the parameter space of the deformation. The algorithm works for any, not necessarily reduced, parameter space and for algebroid curve singularities C defined over an algebraically closed ...
متن کاملEffective construction of irreducible curve singularities
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.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Singularities
سال: 2015
ISSN: 1949-2006
DOI: 10.5427/jsing.2015.12n