List questions from birational-geometry

Published on 15 Jul 2021 - 16:21

295

Views

Soft Question - Motivation for Birational Geometry

Published on 19 Jul 2021 - 16:24

158

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The locus of $y$ where $B\otimes \mathfrak{m}_y$ is globally generated is open

Published on 28 Jul 2021 - 19:38

106

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Is there exist an irreducible subvariety dominating the given one?

Published on 30 Jul 2021 - 10:41

232

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Specializing Weak Factorization to Birational morphism

Published on 03 Aug 2021 - 16:03

235

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Non-algebraic flops

Published on 21 Mar 2026 - 2:07

532

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Pull-back of divisors under different behaviour of maps

Published on 23 Aug 2021 - 8:11

103

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Arrow-reversing Proj and blow-up

Published on 27 Aug 2021 - 8:34

80

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Multiplication of (pluri-)canonical ring

Published on 10 Sep 2021 - 9:11

144

Views

Lift rational map to the Blow-up by explicite construction

Published on 30 Sep 2021 - 21:17

108

Views

How to construct the "best" resolution for a multi projective space?

Published on 16 Oct 2021 - 13:23

55

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Birationality of $V(xt-yz)$ and $\mathbb{P}^2$

Published on 15 Dec 2021 - 23:05

201

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Is there a parametrization of a hyperbola $x^2-y^2=1$ by functions x(t) and y(t) both birational?

Published on 16 Dec 2021 - 3:59

261

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Is there an easy example of a variety that is not rational? ${}$

Published on 21 Dec 2021 - 23:10

107

Views

Showing that image of a rational map is dense

Published on 22 Dec 2021 - 16:20

List Question

Why do we have that $Bir(\mathbb{P}_{\mathbb{C}}^1)=Aut(\mathbb{P}_{\mathbb{C}}^1)$?

Soft Question - Motivation for Birational Geometry

The locus of $y$ where $B\otimes \mathfrak{m}_y$ is globally generated is open

Is there exist an irreducible subvariety dominating the given one?

Specializing Weak Factorization to Birational morphism

Non-algebraic flops

Pull-back of divisors under different behaviour of maps

Arrow-reversing Proj and blow-up

Multiplication of (pluri-)canonical ring

Lift rational map to the Blow-up by explicite construction

How to construct the "best" resolution for a multi projective space?

Birationality of $V(xt-yz)$ and $\mathbb{P}^2$

Is there a parametrization of a hyperbola $x^2-y^2=1$ by functions x(t) and y(t) both birational?

Is there an easy example of a variety that is not rational? ${}$

Showing that image of a rational map is dense

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