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Higher Abel-Jacobi Maps | | Jishnu Biswas
; Gautham Dayal
; Kapil H. Paranjape
; G. V. Ravindra
; | | Date: |
3 Oct 2000 | | Subject: | Algebraic Geometry MSC-class: 14C30 (Primary) 14F43 (Secondary) | math.AG | | Abstract: | This paper forms the major portion of a talk given at the International Colloquium on Arithmetic, Algebra and Geometry at TIFR, Mumbai in Jan 2000. We look at the problem of detecting cycles with trivial Abel-Jacobi invariant. M. Green proposed a Hodge-theoretic method to which C. Voisin found a counter-example. We present an easier example. We also propose another possible invariant to detect these classes using Hodge Theory. Similar methods have been proposed earlier by M. Asakura and M. Saito. | | Source: | arXiv, math.AG/0010029 | | Services: | Forum | Review | PDF | Favorites | |
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