Tomohiro Okuma
Abstract
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This paper studies the second pluri-genus of surface singularities. We give a formula for this invariant of a Gorenstein singularity, and several inequalities relating the invariant with the Milnor number, Tjurina number and the modality of a hypersurface singularity.
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This paper studies the second pluri-genus of surface singularities. We give a formula for this invariant of a Gorenstein singularity, and several inequalities relating the invariant with the Milnor number, Tjurina number and the modality of a hypersurface singularity.
Key concepts: Mathematics, Hypersurface, Gravitational singularity, Singularity, Pure mathematics, Invariant (physics), Isolated singularity, Singularity theory