Quadratic forms for a 1-form on an isolated complete intersection singularity
نویسندگان
چکیده
منابع مشابه
Indices of 1-forms on an Isolated Complete Intersection Singularity
There are some generalizations of the classical Eisenbud– Levine–Khimshiashvili formula for the index of a singular point of an analytic vector field on R to vector fields on singular varieties. We offer an alternative approach based on the study of indices of 1-forms instead of vector fields. When the variety under consideration is a real isolated complete intersection singularity (icis), we d...
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Let (V, 0) be a germ of a complete intersection variety in C, n > 0, having an isolated singularity at 0 and X be the germ of a holomorphic vector field on C tangent to V and having on V an isolated zero at 0. We show that in this case the homological index and the GSV-index coincide. In the case when the zero of X is also isolated in the ambient space C we give a formula for the homological in...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2006
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-005-0877-7