On the number of generators of the module of derivations and multiplicity of certain rings

R.V Gurjar,Vinay Wagh

doi:10.1016/j.jalgebra.2007.10.013

On the number of generators of the module of derivations and multiplicity of certain rings

R.V Gurjar, Vinay Wagh

https://doi.org/10.1016/j.jalgebra.2007.10.013

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Journal: Journal of Algebra	Publication Date: Nov 19, 2007
Citations: 4	License type: elsevier-specific: oa user license

Affiliation: Indian Institute of Technology Bombay, Tata Institute of Fundamental Research

#Rational Surface Singularities #Derivations Of Rings + Show 8 more

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Abstract

The present paper studies the module of derivations of certain rings and the multiplicity of certain rational surface singularities. We also consider some relation between these two for 2-dimensional quotient singularities. We conjecture a relation between the multiplicity of a rational surface singularity and the order of the divisor class group of the singularity and verify the same for several cases.

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