The Index of a 1-Form on a Real Quotient Singularity |
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| Authors: | Email author" target="_blank">S?M?Gusein-ZadeEmail author W?Ebeling |
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| Institution: | 1.Faculty of Mechanics and Mathematics,Moscow State University,Moscow,Russia;2.Institut für Algebraische Geometrie,Leibnitz Universit?t Hannover,Hannover,Germany |
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| Abstract: | Let G be a finite Abelian group acting (linearly) on space ?n and, therefore, on its complexification ?n, and let W be the real part of the quotient ?n/G (in the general case, W ≠ ?n/G). The index of an analytic 1-form on the space W is expressed in terms of the signature of the residue bilinear form on the G-invariant part of the quotient of the space of germs of n-forms on (?n, 0) by the subspace of forms divisible by the 1-form under consideration. |
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