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Answers

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4

Existence of proper integral models.

4

Representability of Hom-sheaves of various moduli spaces

4

Intersection theory for $G$-varieties - an action on the chow ring?

4

Adding singular equations to a smoothing of a hypersurface singularity

4

Automorphism group of ruled surface

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Sommese’s theorem (generalized Weak Lefschetz) in arbitrary characteristic?

3

tensor of powers of an ideal

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Linear subspaces in cones over orthogonal groups

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Degree of generators of irreducible components

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The cohomology of a $G_m$-bundle

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`Normalisation' in etale towers?

3

is the presheaf of automorphisms a sheaf?

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Number of irreducible and connected components constant in flat families

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Projection formula for immersions

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

3

Group cohomology of orthogonal groups with integer coefficient

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Uniform Quotient vs Universal Quotient

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Deformations of hypersurfaces

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The normalizer of a reductive subgroup

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Variation of the Albanese map

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Equivalence versus Isomorphism of Categories

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finite tor dimension

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Čech cohomology of compact spaces via closed covers?

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When is tensoring with a module representable by a scheme?

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Families of sheaves on arithmetic varieties

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Question about hypercohomology / spectral sequence of a complex of “almost-acyclic” sheaves

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Comparing homomorphisms over different base rings

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An algebra constructed from symmetric differences

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If X is the coarse moduli space of the algebraic stack M, is there a nice description of Hom(_,X)?

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Principal bundles in the etale and Zariski topology and extensions of the structure group