Mathematics – Algebraic Geometry
Scientific paper
2011-11-12
Mathematics
Algebraic Geometry
15 pages
Scientific paper
Let f be a map-germ of corank 1 from complex n-space to complex (n+1)-space, and, for k less than or equal to the multiplicity of f, let $D^k(f)$ be its k'th multiple-point scheme -- the closure of the set of ordered k-tuples of pairwise distinct points sharing the same image. There are natural projections from $D^{k+1}(f)$ to $D^k(f)$, determined by forgetting one member of the (k+1)-tuple. We prove that the matrix of a presentation of $\OO_{D^{k+1}(f)}$ over $\OO_{D^k(f)}$ appears as a certain submatrix of the matrix of a suitable presentation of $\OO_{\CC^n}$ over $\OO_{\CC^{n+1}}$. This does not happen for germs of corank greater than 1.
Altintas Ayse
Mond David
No associations
LandOfFree
Free resolutions for multiple point spaces 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 Free resolutions for multiple point spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Free resolutions for multiple point spaces will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-2997