List questions from algebraic-geometry

Published on 30 Mar 2026 - 8:41

113

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Why is : $ K_{ \mathbb{P}^{n} } = -(n+1) H = \mathcal{O}_{ \mathbb{P}^{n} } (-n-1) $?

Published on 25 Mar 2026 - 6:10

99

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Computing tensor product $k[t]/(t^p) \otimes_{k[x,y]/(x^p,y^p)} k[t]/(t^p)$

Published on 25 Mar 2026 - 11:22

194

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Proving that $\mathbb{P}^{n}(\mathbb{C})$ is homeomorphic to $S^{2n+1}/S^{1}$

Published on 23 Mar 2026 - 8:42

187

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Lüroth's theorem for transcendence degree two

Published on 19 Mar 2026 - 23:17

166

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Intersection number and associated reduced scheme

Published on 30 Mar 2026 - 10:14

72

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Number of places of an algebraic function field

Published on 06 May 2018 - 10:32

63

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Is $\Sigma$ compact if the partial derivatives of elliptic curve $P(x,y,z)$ do not all vanish at any point of $\Sigma$?

Published on 25 Mar 2026 - 4:43

431

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Veronese map property

Published on 25 Mar 2026 - 23:35

103

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Morphisms of Locally ringed spaces over manifolds.

Published on 25 Mar 2026 - 14:22

61

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Ideal class defined in terms of linear fractional ideal is chern class?

Published on 30 Mar 2026 - 14:16

133

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Non-injective polynomial map $\mathbb{R}^2 \to \mathbb{R}^2$, injective on lines

Published on 20 Mar 2026 - 2:06

116

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Symmetric product of union of varieties

Published on 25 Mar 2026 - 3:21

225

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Variety with nonalgebraic automorphism group

Published on 25 Mar 2026 - 3:07

511

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Compact Riemann surface of genus 2 as the normalization of a quartic curve.

Published on 25 Mar 2026 - 4:41

List Question

On the singular locus of a normal ring

Why is : $ K_{ \mathbb{P}^{n} } = -(n+1) H = \mathcal{O}_{ \mathbb{P}^{n} } (-n-1) $?

Computing tensor product $k[t]/(t^p) \otimes_{k[x,y]/(x^p,y^p)} k[t]/(t^p)$

Proving that $\mathbb{P}^{n}(\mathbb{C})$ is homeomorphic to $S^{2n+1}/S^{1}$

Lüroth's theorem for transcendence degree two

Intersection number and associated reduced scheme

Number of places of an algebraic function field

Is $\Sigma$ compact if the partial derivatives of elliptic curve $P(x,y,z)$ do not all vanish at any point of $\Sigma$?

Veronese map property

Morphisms of Locally ringed spaces over manifolds.

Ideal class defined in terms of linear fractional ideal is chern class?

Non-injective polynomial map $\mathbb{R}^2 \to \mathbb{R}^2$, injective on lines

Symmetric product of union of varieties

Variety with nonalgebraic automorphism group

Compact Riemann surface of genus 2 as the normalization of a quartic curve.

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