Hodge loci associated with linear subspaces intersecting in codimension one
Copyright policy )Hodge loci associated with linear subspaces intersecting in codimension one
AbstractLet be a smooth hypersurface containing two ‐dimensional linear spaces , such that . In this paper, we study the question whether the Hodge loci and coincide. This turns out to be the case in a neighborhood of if is very general on , , and . However, there exists a hypersurface for which is smooth at , but is singular for all . We expect that this is due to an embedded component of . The case was treated before by Dan, in that case is nonreduced.
Mathematics - Algebraic Geometry, Quantum theory, FOS: Mathematics, Algebraic Geometry (math.AG), Harmonic analysis on Euclidean spaces, Mathematics - Algebraic Geometry; Mathematics - Algebraic Geometry
Mathematics - Algebraic Geometry, Quantum theory, FOS: Mathematics, Algebraic Geometry (math.AG), Harmonic analysis on Euclidean spaces, Mathematics - Algebraic Geometry; Mathematics - Algebraic Geometry
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