Mathematics – Algebraic Geometry
Scientific paper
2011-07-27
Mathematics
Algebraic Geometry
11 pages
Scientific paper
Given a generic curve of genus $g\geqslant4$ and a smooth point $L\in W_{g-1}^{1}(C)$, whose linear system is base-point free, we consider the Abel-Jacobi normal function associated to $L^{\otimes 2}\otimes \omega_{C}^{-1}$, when $(C,L)$ varies in moduli. We prove that its infinitesimal invariant reconstruct the couple $(C,L)$. When $g=4$, we obtain the generic Torelli theorem proved by Griffiths.
No associations
LandOfFree
A note on Griffiths infinitesimal invariant for curves does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A note on Griffiths infinitesimal invariant for curves, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A note on Griffiths infinitesimal invariant for curves will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-413257