List questions from birational-geometry

Published on 20 Mar 2026 - 10:14

389

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Shafarevich's problem 1.7, showing the existence of a rational function.

Published on 17 Mar 2026 - 9:12

83

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Compute multiplicity by intersections

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347

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Why is the torsion subgroup of the Neron Severi group a birational invariant?

Published on 23 Mar 2026 - 19:33

334

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Contraction of blow up of $\mathbf{P}^n$ at a linear subspace

Published on 17 Mar 2026 - 22:33

726

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Toric surfaces among rational surfaces

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942

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Small contractions as blow ups

Published on 17 Mar 2026 - 3:28

161

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Computing $R^1f_*\mathcal{O}_\hat{X}(\pm E)$ for blow-up of $\mathbb{A}^2_k$ at the origin

Published on 17 Mar 2026 - 23:17

554

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Strict transforms after blowing up "complicated" ideals

Published on 17 Mar 2026 - 18:14

329

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Blow up of one point is isomorphic to $\mathbb{P}(\mathcal{O} \oplus \mathcal{O}(1))$

Published on 14 Mar 2026 - 18:33

181

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The rationality theorem in birational geometry

Published on 21 Mar 2026 - 17:16

199

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Maps between projective spaces induced by singular matrices

Published on 25 Mar 2026 - 1:14

515

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Is every complex algebraic variety birationally equivalent to a complex projective manifold?

Published on 20 Mar 2026 - 19:57

248

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Reference request: Projection from a general point on a variety

Published on 25 Mar 2026 - 1:21

100

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Multiplicity of Birational Map

Published on 20 Mar 2026 - 3:26

List Question

Some problems related to unirational varieties

Shafarevich's problem 1.7, showing the existence of a rational function.

Compute multiplicity by intersections

Why is the torsion subgroup of the Neron Severi group a birational invariant?

Contraction of blow up of $\mathbf{P}^n$ at a linear subspace

Toric surfaces among rational surfaces

Small contractions as blow ups

Computing $R^1f_*\mathcal{O}_\hat{X}(\pm E)$ for blow-up of $\mathbb{A}^2_k$ at the origin

Strict transforms after blowing up "complicated" ideals

Blow up of one point is isomorphic to $\mathbb{P}(\mathcal{O} \oplus \mathcal{O}(1))$

The rationality theorem in birational geometry

Maps between projective spaces induced by singular matrices

Is every complex algebraic variety birationally equivalent to a complex projective manifold?

Reference request: Projection from a general point on a variety

Multiplicity of Birational Map

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