User rla

21 votes

1 answer

3k views

Why study schemes?

asked Jan 16, 2012 at 16:58

16 votes

1 answer

3k views

Is the dualizing functor $\mathcal{Hom}( \cdot, \mathcal{O}_{X})$ exact?

asked Sep 8, 2012 at 13:15

10 votes

3 answers

1k views

Kernel of a homomorphism from a free group into $\mathbb{Z}$.

asked Apr 19, 2012 at 12:14

10 votes

2 answers

2k views

Divisors in an abelian surface

asked May 30, 2013 at 19:22

9 votes

2 answers

2k views

Construction of the global $\mathbf{Proj}$

asked Jan 16, 2012 at 13:47

8 votes

0 answers

335 views

Exact sequence in weighted projective spaces to compute Chern character

asked Jan 29, 2013 at 23:13

6 votes

1 answer

455 views

Injectivity of the push-forward of cycles modulo rational equivalence

asked Apr 12, 2013 at 17:23

6 votes

2 answers

1k views

About sheaf cohomology in algebraic geometry

asked Aug 8, 2012 at 14:24

6 votes

2 answers

629 views

An infinite finitely generated group contains an isometric copy of $\mathbb{R}$, i.e., contains a bi-infinite geodesic

asked Apr 26, 2012 at 14:14

5 votes

0 answers

77 views

Automorphism of $L|K$ mapping 3 distinct rational points of $S_{L|K}$ to other 3 distinct ones

asked Apr 28, 2012 at 15:15

5 votes

1 answer

263 views

A sequence that tell us if a holomorphic function of several variables is identically zero

asked Oct 12, 2012 at 17:57

5 votes

1 answer

342 views

Equivalence of ample divisor

asked Jan 14, 2013 at 12:54

4 votes

2 answers

740 views

Notation: Tensor of a sheaf and residue field

asked May 12, 2014 at 11:55

4 votes

0 answers

96 views

Double lines in $X$, implies $X \cong \mathbb{P}^{n}$

asked May 13, 2014 at 18:19

4 votes

1 answer

468 views

Is a morphism with finite fibers birational?

asked Jun 1, 2014 at 18:04

4 votes

1 answer

302 views

Help with integrals in Gunning's book

asked Dec 25, 2011 at 20:00

4 votes

1 answer

666 views

Jacobi's criterion for projective schemes?

asked Jan 23, 2012 at 13:09

3 votes

1 answer

345 views

Image/type of the canonical divisor under the isomorphism $\mathrm{Pic}(\mathbb{P^{1}} \times \mathbb{P^{1}}) \cong \mathbb{Z} \oplus \mathbb{Z}$

asked Nov 18, 2011 at 0:39

3 votes

1 answer

262 views

A question about rational functions and their divisors

asked Nov 21, 2011 at 1:41

3 votes

0 answers

428 views

Holomorphic function vanishing in a real hyperplane

asked Oct 16, 2012 at 13:16

3 votes

1 answer

249 views

Notation: $\mathbb{P}(\mathscr{E})$, where $\mathscr{E}$ is locally free sheaf.

asked May 12, 2014 at 20:54

3 votes

1 answer

901 views

Isometries of a hyperbolic quadratic form

asked May 27, 2013 at 17:22

3 votes

0 answers

134 views

Picard group of $G(k, n)$ saying about automorphisms

asked Aug 19, 2013 at 12:58

3 votes

1 answer

113 views

Subharmonic function in $B(0;1) \setminus \{ 0 \}$ is subharmonic in $B(0;1)$

asked Oct 30, 2012 at 20:03

2 votes

1 answer

1k views

Isometry fixing two points of a geodesic line

asked May 27, 2013 at 16:15

2 votes

0 answers

217 views

A pullback in terms of a pushforward of a intersection

asked May 27, 2014 at 22:35

2 votes

1 answer

87 views

Under some conditions, $K$ is algebraically closed in $K(x, y)$

asked Apr 28, 2012 at 14:54

2 votes

1 answer

331 views

Preserving canonical divisors under a morphism of schemes

asked Nov 21, 2011 at 0:09

1 vote

1 answer

718 views

Consequence of Cauchy Integral Formula for Several Complex Variables in Gunning's book

asked Dec 7, 2011 at 12:54

1 vote

1 answer

1k views

Support of the divisor of zeros of a global section of a invertible sheaf

asked Jul 25, 2012 at 16:21

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37 Questions

Why study schemes?

Is the dualizing functor $\mathcal{Hom}( \cdot, \mathcal{O}_{X})$ exact?

Kernel of a homomorphism from a free group into $\mathbb{Z}$.

Divisors in an abelian surface

Construction of the global $\mathbf{Proj}$

Exact sequence in weighted projective spaces to compute Chern character

Injectivity of the push-forward of cycles modulo rational equivalence

About sheaf cohomology in algebraic geometry

An infinite finitely generated group contains an isometric copy of $\mathbb{R}$, i.e., contains a bi-infinite geodesic

Automorphism of $L|K$ mapping 3 distinct rational points of $S_{L|K}$ to other 3 distinct ones

A sequence that tell us if a holomorphic function of several variables is identically zero

Equivalence of ample divisor

Notation: Tensor of a sheaf and residue field

Double lines in $X$, implies $X \cong \mathbb{P}^{n}$

Is a morphism with finite fibers birational?

Help with integrals in Gunning's book

Jacobi's criterion for projective schemes?

Image/type of the canonical divisor under the isomorphism $\mathrm{Pic}(\mathbb{P^{1}} \times \mathbb{P^{1}}) \cong \mathbb{Z} \oplus \mathbb{Z}$

A question about rational functions and their divisors

Holomorphic function vanishing in a real hyperplane

Notation: $\mathbb{P}(\mathscr{E})$, where $\mathscr{E}$ is locally free sheaf.

Isometries of a hyperbolic quadratic form

Picard group of $G(k, n)$ saying about automorphisms

Subharmonic function in $B(0;1) \setminus \{ 0 \}$ is subharmonic in $B(0;1)$

Isometry fixing two points of a geodesic line

A pullback in terms of a pushforward of a intersection

Under some conditions, $K$ is algebraically closed in $K(x, y)$

Preserving canonical divisors under a morphism of schemes

Consequence of Cauchy Integral Formula for Several Complex Variables in Gunning's book

Support of the divisor of zeros of a global section of a invertible sheaf