User damiano

76 votes

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what mistakes did the Italian algebraic geometers actually make?

answered Mar 26, 2010 at 14:26

30 votes

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Torsion-freeness of Picard group

answered Jul 21, 2010 at 9:43

23 votes

Algebraic geometry examples

answered Aug 2, 2010 at 13:10

22 votes

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Characterizations of complex Abelian varieties (especially 3-folds) among projective nonsingular varieties?

answered Aug 8, 2010 at 6:37

22 votes

Which algebraic varieties admit a morphism to a curve?

answered Aug 13, 2010 at 8:43

19 votes

Compactification of a manifold

answered Aug 5, 2010 at 11:39

19 votes

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Birational invariants and fundamental groups

answered Jul 23, 2010 at 7:43

16 votes

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Given a family of curves, when does there exist a fibered surface over Spec Z parametrizing them?

answered Feb 7, 2011 at 11:05

16 votes

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Does a closed immersion of an affine scheme in a smooth scheme factor over an open affine subscheme?

answered May 11, 2011 at 11:03

11 votes

A local-to-global principle for being a rational surface

answered Apr 13, 2010 at 11:01

11 votes

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Largest rank submatrix of a skew symmetric matrix

answered Apr 22, 2010 at 14:06

10 votes

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Quadratic forms over finite fields

answered Mar 4, 2010 at 18:53

10 votes

Proof of the result that the Galois group of a specialization is a subgroup of the original group?

answered Aug 4, 2010 at 17:37

9 votes

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Reference request: is the punctual Hilbert scheme irreducible?

answered Apr 4, 2010 at 7:41

8 votes

When is a product of elliptic curves isogenous to the Jacobian of a hyperelliptic curve?

answered Aug 10, 2010 at 7:12

8 votes

Two discs with no parallel tangent planes

answered Mar 8, 2010 at 17:38

8 votes

Is an algebraic bijection from a projective variety to itself necessarily an isomorphism?

answered Mar 2, 2010 at 18:56

8 votes

When is a blow-up a non-trivial product?

answered Oct 6, 2010 at 11:18

7 votes

Ring of closed manifolds modulo fiber bundles

answered Aug 25, 2010 at 23:54

7 votes

When can we cancel vector bundles from tensor products?

answered Apr 14, 2010 at 17:05

7 votes

Which algebraic varieties admit a morphism to a curve?

answered Aug 14, 2010 at 11:39

6 votes

Why isn't there a structure with two primes?

answered Apr 2, 2010 at 8:12

5 votes

Affinization and properization of algebraic varieties ?

answered Apr 23, 2010 at 9:51

5 votes

Small simplicial complexes with torsion in their homology?

answered Mar 11, 2010 at 10:55

5 votes

The topological analog of flatness?

answered Aug 10, 2010 at 10:28

5 votes

no lines/conics on a degree 4/5 surface?

answered May 23, 2010 at 11:53

5 votes

Accepted

parameterizing polynomial loops in $\mathbb{C}^\times$

answered Aug 25, 2010 at 10:23

5 votes

Quadrics containing many points in special position

answered Dec 29, 2010 at 1:18

4 votes

Uniformity of ampleness

answered Dec 6, 2010 at 14:53

4 votes

Trees with the same degree sequences

answered Oct 1, 2010 at 19:32

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49 Answers

what mistakes did the Italian algebraic geometers actually make?

Torsion-freeness of Picard group

Algebraic geometry examples

Characterizations of complex Abelian varieties (especially 3-folds) among projective nonsingular varieties?

Which algebraic varieties admit a morphism to a curve?

Compactification of a manifold

Birational invariants and fundamental groups

Given a family of curves, when does there exist a fibered surface over Spec Z parametrizing them?

Does a closed immersion of an affine scheme in a smooth scheme factor over an open affine subscheme?

A local-to-global principle for being a rational surface

Largest rank submatrix of a skew symmetric matrix

Quadratic forms over finite fields

Proof of the result that the Galois group of a specialization is a subgroup of the original group?

Reference request: is the punctual Hilbert scheme irreducible?

When is a product of elliptic curves isogenous to the Jacobian of a hyperelliptic curve?

Two discs with no parallel tangent planes

Is an algebraic bijection from a projective variety to itself necessarily an isomorphism?

When is a blow-up a non-trivial product?

Ring of closed manifolds modulo fiber bundles

When can we cancel vector bundles from tensor products?

Which algebraic varieties admit a morphism to a curve?

Why isn't there a structure with two primes?

Affinization and properization of algebraic varieties ?

Small simplicial complexes with torsion in their homology?

The topological analog of flatness?

no lines/conics on a degree 4/5 surface?

parameterizing polynomial loops in $\mathbb{C}^\times$

Quadrics containing many points in special position

Uniformity of ampleness

Trees with the same degree sequences