100

Answers

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3

A Nisnevich cover which is not Zariski

1

A left adjoint for the evaluation functor \Gamma(, U)

8

Quotients of Schemes by Free Group Actions

5

‘Ampleness’ of a big line bundle

36

Best Algebraic Geometry text book? (other than Hartshorne)

21

Clean Proofs of Properties of Projective Space

3

Can cones (toric monoids) be built as colimits of their faces?

45

Sheaf cohomology and injective resolutions

17

Is there an example of a formally smooth morphism which is not smooth?

3

Bertini theorems for base-point-free linear systems in positive characteristics

14

Finite, Étale Morphism Of Varieties

2

Weighted blow up of a Toric Variety

8

Schemes do not form a stack in the etale topology?

4

When can a finite map be blown up to a flat one?

13

Maps to projective space determined by a line bundle (2)

1

Is $\mathbb{A}²$ the universal smooth scheme which is a finite cover of $\mathbb{A}²/μ₂$?

5

Is an affine “G-variety” with reductive stabilizers a toric variety?

0

Is being a coequalizer a target-local property in schemes? (answered: no, and no)

2

Are GIT’s good categorical quotients just locally ringed space coequalizers?

4

If a representation has enough reductive stabilizers, is it a direct sum of characters?

4

Affine morphisms in different settings coincide?

6

Classification of fat projective lines?

1

Is there an example of an algebraic stack whose closed points have affine stabilizers but whose diagonal is not affine?

8

The etale site of a closed subscheme and its etale Grothendieck subtopology

4

Finite groups generated by pseudo-reflections

3

When can cohomology be calculated on the coarse moduli space?

10

Continuous bijective way of representing a line on a plane [answered]

5

If a map restricts to an isomorphism on a closed subscheme and its open complement, must it be an isomorphism?

2

Generalize the Proj construction?

0

When does the global sections of a prescheme X over an other S equals those of S?n