The Index of a 1-Form on a Real Quotient Singularityстатья
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Дата последнего поиска статьи во внешних источниках: 10 августа 2018 г.
Аннотация:Let G be a finite Abelian group acting (linearly) on space R^n and, therefore, on its complexification C^n, and let W be the real part of the quotient C^n/G (in the general case, W \ne R^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 (R^n, 0) by the subspace of forms divisible by the 1-form under consideration.