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Yuchen Liu's user avatar
Yuchen Liu's user avatar
Yuchen Liu's user avatar
Yuchen Liu
  • Member for 12 years, 1 month
  • Last seen this week
27 votes

help me understand a line in an “$A^TA$ is positive, semi-definite” proof

14 votes

Is a divisor in the hyperplane class necessarily a hyperplane divisor?

11 votes
Accepted

Divisors in an abelian surface

11 votes

Is the complement of a codimension 2 subvariety of an affine variety affine

7 votes
Accepted

Numerically equivalent divisors on a surface

7 votes
Accepted

Irreducible Polynomial over $\mathbb{Q}$

5 votes
Accepted

Why is $Sp(2m)$ as regular set of $f(A)=A^tJA-J$, and, hence a Lie group.

5 votes
Accepted

Sheaf of meromorphic functions on an integral scheme

4 votes
Accepted

Let $X=\operatorname{Spec} k[w,x,y,z]/(wz−xy)$. Show the Weil divisor cut out by $w=x=0$ is not locally principal.

4 votes
Accepted

holomorphic function is real analytic?

4 votes
Accepted

Polynomials vanishing and non-intersecting varieties.

3 votes
Accepted

Homotopy Type of Polynomial Hypersurfaces

3 votes
Accepted

How can I conclude that F a continuous vector field on unit ball gives a map of degree zero?

3 votes
Accepted

A Couple of Normal Bundle Questions

3 votes
Accepted

Dimension of a quotient vector space of meromorphic functions

3 votes
Accepted

Embedding $\mathbb A^2-(0,0)$ into $k^n$, the image is not closed

3 votes

Poles of abelian differentials

3 votes
Accepted

Smallest projective subspace containing a degree $d$ curve

3 votes
Accepted

Surfaces: behavior of Pluricanonical maps

2 votes

Where to find the proof for the isomorphism between the (2n-1)_th homotopy group of Aut(V) to Z?

2 votes

Are there non-continuable functions that become continuable when raised to some power?

2 votes
Accepted

Abelian Elliptic Surfaces

2 votes

If $C \subset X \subset \mathbb P^n$ is a canonical smooth hyperplane section, then $n=g(C)$.

2 votes
Accepted

How to solve the $C^\alpha$ Poisson equation on closed Riemannian manifolds?

2 votes

Existence of a morphism on given projective varitey (homework)

2 votes
Accepted

Justifying switching order of summation and integration

1 vote

Unbounded sequence and its reciprocal.

1 vote
Accepted

Covering a genus g surface with n disks, and conversely

1 vote

Normal Cone as a Quotient Orbit Space

1 vote

Why is it better to have the induced map by a line bundle $L$ into projective space map into $\mathbb P |L|^*$?