New posts in complex-geometry

Why do we always need the Schwarz lemma when bounding the trace of a Kähler metric?

differential-geometry algebraic-geometry riemannian-geometry complex-geometry kahler-manifolds

Are vector bundles on $\mathbb{P}_{\mathbb{C}}^n$ of any rank completely classified? (main interest $n=3$)

reference-request algebraic-geometry complex-geometry vector-bundles

Identification of the holomorphic tangent space with the real tangent space

complex-geometry tangent-spaces complex-manifolds almost-complex

Computing the Fubini-Study metric in affine chart

differential-geometry riemannian-geometry complex-geometry projective-space kahler-manifolds

How to prove that all zeros of the complex polynomial $P(z)$ lie in $\Bbb{D}$?

complex-analysis polynomials roots complex-geometry

Does the Lie derivative commute with $\partial$?

differential-geometry smooth-manifolds complex-geometry lie-derivative

A nonzero holomorphic parallel section never vanishes

differential-geometry complex-geometry holomorphic-bundles

Confusion about genus-degree formula

algebraic-geometry complex-geometry elliptic-curves

Why are K3 surfaces minimal?

algebraic-geometry complex-geometry k3-surfaces

If a complex Lie group has the structure of an algebraic group, is this structure unique?

lie-groups complex-geometry algebraic-groups

Why the moduli space of complex structure in a compact complex manifold is of finite dimension

complex-geometry

connections on coherent sheaves

algebraic-geometry complex-geometry coherent-sheaves

What's nonsensical about this definition of the order of a meromorphic function?

complex-geometry several-complex-variables

Equations for double etale covers of the hyperelliptic curve $y^2 = x^5+1$

algebraic-geometry algebraic-curves complex-geometry covering-spaces fundamental-groups

Zariski vs analytic cohomology of $\mathcal O_X^\times$

algebraic-geometry analytic-geometry complex-geometry

Why the Picard group of a K3 surface is torsion-free

algebraic-geometry complex-geometry k3-surfaces

Lie derivative $\mathcal{L}_XJ(Y)$ with endomorphism $J$

differential-geometry manifolds smooth-manifolds complex-geometry

Normal bundle of a section of a $\mathbb{P}^1$-bundle

algebraic-geometry complex-geometry

Number of points at which a tangent touches a curve

algebraic-geometry complex-geometry

How much algebraic geometry is there in complex geometry (for example, Demailly)?

complex-analysis algebraic-geometry differential-geometry complex-geometry schemes