Gorenstein Quotient Singularities in Dimension Three

Download or read book Gorenstein Quotient Singularities in Dimension Three written by Stephen Shing-Toung Yau and published by American Mathematical Soc.. This book was released on 1993 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: In chapter one we address the classification of finite subgroups of [italic capitals]SL([bold]3,[double-struck capital]C). This is followed by a general method to find invariant polynomials and their relations of finite subgroups of [italic capitals]GL([bold]3,[double-struck capital]C). Lastly, we recall some properties of quotient varieties and prove that [double-struck capital]C3/[italic capital]G has isolated singularities if and only if [italic capital]G is abelian and 1 is not an eigenvalue of g in [italic capital]G.