REAL

Durfee-type bound for some non-degenerate complete intersection singularities

Kerner, D. and Némethi, András (2017) Durfee-type bound for some non-degenerate complete intersection singularities. MATHEMATISCHE ZEITSCHRIFT. pp. 1-17. ISSN 0025-5874 (In Press)

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Abstract

The Milnor number, (Formula presented.), and the singularity genus, (Formula presented.), are fundamental invariants of isolated hypersurface singularities (more generally, of local complete intersections). The long standing Durfee conjecture (and its generalization) predicted the inequality (Formula presented.), here (Formula presented.). Recently we have constructed counterexamples, proposed a corrected bound and verified it for the homogeneous complete intersections. In the current paper we treat the case of germs with Newton-non-degenerate principal part when the Newton diagrams are “large enough”, i.e. they are large multiples of some other diagrams. In the case of local complete intersections we prove the corrected inequality, while in the hypersurface case we prove an even stronger inequality. © 2016 Springer-Verlag Berlin Heidelberg

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 02 Jan 2017 15:34
Last Modified: 02 Jan 2017 15:34
URI: http://real.mtak.hu/id/eprint/44141

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