List questions from birational-geometry

Published on 05 May 2026 - 16:28

396

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

Published on 06 May 2026 - 10:04

92

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Compute multiplicity by intersections

Published on 04 May 2026 - 21:22

352

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

Published on 05 May 2026 - 11:07

339

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

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734

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Toric surfaces among rational surfaces

Published on 04 May 2026 - 20:10

950

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Small contractions as blow ups

Published on 06 May 2026 - 10:00

168

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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 05 May 2026 - 14:05

559

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Strict transforms after blowing up "complicated" ideals

Published on 05 May 2026 - 9:02

335

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

Published on 06 May 2026 - 10:03

190

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The rationality theorem in birational geometry

Published on 06 May 2026 - 10:03

204

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Maps between projective spaces induced by singular matrices

Published on 10 May 2026 - 13:47

521

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

Published on 10 May 2026 - 12:32

252

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Reference request: Projection from a general point on a variety

Published on 10 May 2026 - 12:31

107

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Multiplicity of Birational Map

Published on 10 May 2026 - 12:32

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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