# Questions tagged [algebraic-surfaces]

An algebraic surface is an algebraic variety of dimension two. In the case of geometry over the field of complex numbers, an algebraic surface has complex dimension two (as a complex manifold, when it is non-singular) and so of dimension four as a smooth manifold.

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### When do 27 lines lie on a cubic surface?

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### Uniformization of Kodaira fibered surfaces

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### what is the cyclic cover trick?

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**3**answers

### Vector bundles on $\mathbb{P}^1\times\mathbb{P}^1$

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### Intuition behind results in Mumford's "Lectures on curves on an algebraic surface", I

**6**

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### Automorphisms of a smooth quadric surface $Q\subset\mathbb{P}^{3}$

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**3**answers

### Divisor class group on blowup of nodal surface

**10**

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### Automorphisms of del Pezzo surfaces

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**3**answers

### Is there a way to find any non-trivial $\mathbb{F}_p(t)$-point on the given elliptic curve?

**10**

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### Restriction of the Picard group of a surface to a curve

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### Contracting a curve of negative self-intersection on a surface

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### Rational curves on varieties of general type

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### Names of certain surfaces

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### Endomorphism algebras of abelian surfaces with real multiplication

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### Is there a purely inseparable covering $\mathbb{A}^2 \to K$ of a Kummer surface $K$ over $\mathbb{F}_{p^2}$?

**5**

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### Field of definition for general type surfaces

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### Map associated to linear system onto curve is morphism

**5**

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### Algebraic equivalence VS Numerical Equivalence - An Example.

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### Can Kummer surfaces coming from the same abelian surface be Cremona equivalent / isomorphic?

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### Is there a way to find any $\mathbb{F}_2(t)$-point on the elliptic curve $\mathcal{E}$?

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### Computing Euler Charactistics of Line bundles on Hilbert Schemes of points on Surfaces

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**3**answers