User Alex

10 votes

What does it mean to have exact derived functors?

answered Sep 21, 2013 at 23:42

7 votes

Accepted

Riemann-Roch theorem on surfaces as generalization of Riemann-Roch on curves

answered Oct 25, 2016 at 17:52

7 votes

Accepted

Cayley-Bacharach for higher degree curves

answered Oct 28, 2016 at 18:24

5 votes

"Algebrization" of Analytic Concepts

answered Nov 3, 2016 at 21:29

5 votes

Accepted

A detail in the proof of Auslander-Buchsbaum Theorem

answered Mar 10, 2012 at 12:54

4 votes

Why $\textrm{Hom}(\Lambda^2H_1(A,\mathbb Z),\mathbb Z)\cong H^2(A,\mathbb Z)$?

answered Dec 20, 2012 at 14:57

4 votes

(geometric/intuitive) interpretation of ext

answered Jan 4, 2013 at 13:56

4 votes

Accepted

Kähler differentials on a smooth projective plane curve

answered Oct 15, 2016 at 15:53

4 votes

Accepted

grothendieck group over flat family

answered Mar 4, 2021 at 9:02

4 votes

Accepted

Difference between Higgs bundle and vector bundle with connection

answered Oct 31, 2017 at 16:57

3 votes

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Is the Fourier-Mukai functor fully faithful?

answered Mar 13, 2017 at 23:04

3 votes

Accepted

Are restrictions of an (algebraic) vector bundle over $X \times \mathbb{A}^1$ to different copies of X isomorphic?

answered Nov 9, 2013 at 4:06

3 votes

Accepted

Why the total space of $\mathcal{O}(K)$ has trivial canonical bundle?

answered Dec 23, 2013 at 23:40

3 votes

Are there any theories being developed which study structures with many operations and many distributive laws?

answered Mar 16, 2012 at 12:40

3 votes

Is every finitely dimensional basic $K$-algebra isomorphic to a bound quiver algebra?

answered Dec 9, 2012 at 2:30

3 votes

Accepted

Structure sheaf of cyclic coverings

answered Oct 14, 2016 at 14:52

3 votes

Accepted

Is $\mathcal{F}(m)/\mathcal{F}$ a skyscraper sheaf?

answered Oct 23, 2016 at 13:39

2 votes

"Algebraic geometry is more rigid than differential geometry or topology"

answered Oct 25, 2016 at 17:35

2 votes

Accepted

What's the connection between these two notions of a connection?

answered Nov 7, 2016 at 17:03

2 votes

Explain Hartshorne solution IV.4.6c.

answered Nov 9, 2016 at 18:25

2 votes

Deformations of complex structures and Deformations in quantum algebra

answered Oct 20, 2013 at 17:11

2 votes

Accepted

Dimension of the Lie algebra of $SO(n,k)$

answered Oct 26, 2013 at 15:47

2 votes

Accepted

Is there a proof of Noether's formula without using general Riemann-Roch theorem?

answered Oct 4, 2015 at 4:53

2 votes

Rational function field of product affine varieties

answered Oct 17, 2016 at 17:49

2 votes

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Automorphism of genus $6$ plane curves

answered Oct 15, 2016 at 19:18

2 votes

Accepted

logarithm of the square of a nonsingular matrix

answered Nov 2, 2016 at 21:06

2 votes

Accepted

Higher direct images of a sheaf over the diagonal along a projection vanish

answered Nov 10, 2017 at 17:22

2 votes

Accepted

Upper semicontinuity of fiber dimension of a module

answered Feb 28, 2021 at 15:28

1 vote

Calculate length of module

answered Feb 16, 2021 at 14:32

1 vote

Accepted

Corollary 2.9 from Eisenbud's Commutative Algebra

answered Mar 6, 2021 at 6:09

Stack Exchange Network

54 Answers

What does it mean to have exact derived functors?

Riemann-Roch theorem on surfaces as generalization of Riemann-Roch on curves

Cayley-Bacharach for higher degree curves

"Algebrization" of Analytic Concepts

A detail in the proof of Auslander-Buchsbaum Theorem

Why $\textrm{Hom}(\Lambda^2H_1(A,\mathbb Z),\mathbb Z)\cong H^2(A,\mathbb Z)$?

(geometric/intuitive) interpretation of ext

Kähler differentials on a smooth projective plane curve

grothendieck group over flat family

Difference between Higgs bundle and vector bundle with connection

Is the Fourier-Mukai functor fully faithful?

Are restrictions of an (algebraic) vector bundle over $X \times \mathbb{A}^1$ to different copies of X isomorphic?

Why the total space of $\mathcal{O}(K)$ has trivial canonical bundle?

Are there any theories being developed which study structures with many operations and many distributive laws?

Is every finitely dimensional basic $K$-algebra isomorphic to a bound quiver algebra?

Structure sheaf of cyclic coverings

Is $\mathcal{F}(m)/\mathcal{F}$ a skyscraper sheaf?

"Algebraic geometry is more rigid than differential geometry or topology"

What's the connection between these two notions of a connection?

Explain Hartshorne solution IV.4.6c.

Deformations of complex structures and Deformations in quantum algebra

Dimension of the Lie algebra of $SO(n,k)$

Is there a proof of Noether's formula without using general Riemann-Roch theorem?

Rational function field of product affine varieties

Automorphism of genus $6$ plane curves

logarithm of the square of a nonsingular matrix

Higher direct images of a sheaf over the diagonal along a projection vanish

Upper semicontinuity of fiber dimension of a module

Calculate length of module

Corollary 2.9 from Eisenbud's Commutative Algebra