Complete intersections on general hypersurfaces
classification
🧮 math.AG
math.AC
keywords
completedegreeshypersurfacesintersectionswhenanswercertaincodimension
read the original abstract
We ask when certain complete intersections of codimension $r$ can lie on a generic hypersurface in $\PP^n$. We give a complete answer to this question when $2r \leq n+2$ in terms of the degrees of the hypersurfaces and of the degrees of the generators of the complete intersection.
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