منابع مشابه
Determinantal singularities and Newton polyhedra
We introduce so called resultantal singularities (Definitions 5.1 and 8.1), whose study in terms of Newton polyhedra unifies the tasks A and B to a certain extent. In particular, this provides new formulations and proofs for a number of well known results (see, for example, Theorem 5.7 related to task A and Corollary 4.6 related to task B). As an application, we study basic topological invarian...
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(1) Frobenius splitting in commutative algebra, Karen Smith and Wenliang Zhang. (2) A survey of test ideals, Karl Schwede and Kevin Tucker. (3) Globally F-regular and log Fano varities, Karl Schwede and Karen Smith. (4) Characterizations of regular local rings of characteristic p, Ernst Kunz. (5) On Noetherian rings of characteristic p, Ernst Kunz. (6) F-purity and rational singularity, Richard...
متن کاملSingularities in characteristic 0 and characteristic p
1 Characteristic 0 We start with a basic question: given a polynomial f ∈ C[z1, · · · , zn] with a singularity at 0, how can we measure the “singularness” of this polynomial in a precise way? In other words: we can look at various singularities and see intuitively that some singularities are worse than others. For instance, it feels like a transverse self-intersection is probably not as bad as ...
متن کاملValuative Arf Characteristic of Singularities
The proof by Hironaka [5] of resolution of singularities of algebraic varieties over fields of characteristic zero raised the problem of classifying singularities by looking at the resolution process. Thus, equisingularity of plane curve singularities was introduced and developed by Zariski in [15] by showing that the combinatorics of the resolution processes is equivalent data to Puiseux invar...
متن کاملOn the Eüler Characteristic of Polyhedra
1. The principal object of this note is to give an extremely simple axiomatic characterization of the Euler characteristic for finite polyhedra. The idea of the construction used was suggested by the definition of the Grothendieck group of sheaves over a space [l]. Unless otherwise noted, "space" always means "triangulable space with base point," and a "pair" is a "triangulable pair of spaces w...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 1967
ISSN: 2156-2261
DOI: 10.1215/kjm/1250524227