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A more general form of Grauert’s Theorem on Higher Direct Image Sheaves?

1

What is the most simple non-planar Gorenstein curve singularity?

3

Tensor product of reflexive sheaves

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Is the tensor product of a power series ring and a field noetherian?

6

Connecting points on a variety by the image of a nonsingular curve

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Construction of the determinant line bundle on the degree $g-1$ Picard variety

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Pull-back of line bundles under the normalization map.

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How the multi-rank of a torsion free sheaf on a non-reduced scheme is defined?

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Irreducibility\smoothness of the degeneracy locus

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Relative Jacobian condition

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Singularities of space curves: Open question lists?

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Kodaira-Spencer map in a concrete instance