List questions from projective-varieties

Published on 13 May 2023 - 13:40

50

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Reducing elliptic curves -- why can we also reduce the endomorphisms?

Published on 18 May 2023 - 9:54

153

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Is a morphism of varieties determined by its behaviour on an open subset

Published on 20 May 2023 - 16:05

42

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Intersection of an arbitrary number of projective varieties

Published on 04 Jun 2023 - 9:48

113

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Compute the Zariski closure of a set

Published on 06 Jun 2023 - 10:51

120

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Does the completions $\hat{\mathscr{O}}_P(X)\simeq \hat{\mathscr{O}}_Q(Y)$ could deduce local rings $\mathscr{O}_P(X)\simeq \mathscr{O}_Q(Y)$?

Published on 11 Jun 2023 - 6:33

140

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Composition of Gysin and restriction maps on $\ell$-adic cohomology

Published on 23 Feb 2026 - 4:57

49

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Example of (maximal) projective spectrum

Published on 24 Jul 2023 - 16:21

57

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Segre Embedding and lines on $x^2+y^2+z^2=1$ over $\mathbb{C}$

Published on 01 Aug 2023 - 17:56

72

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Potential typo in Fulton's "Algebraic Curves"

Published on 03 Aug 2023 - 0:25

87

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Show the fibers are geometrically connected

Published on 03 Sep 2023 - 17:01

144

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Is Every Closed Algebraic Set of Dimension $n$ Contained in a Closed Variety of Dimension $n+1$

Published on 07 Sep 2023 - 8:34

87

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Cokernel of $\mathcal{O}_m\to\mathcal{O}_n$ on $\mathbb{P}^1$

Published on 11 Sep 2023 - 12:14

47

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Chow's Lemma proof in Milne's Book: Locality of immersions.

Published on 14 Sep 2023 - 15:11

149

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Chow's Lemma proof in Milne's Book: Cartesian diagram

Published on 14 Sep 2023 - 17:35

List Question

Trouble understanding Hartshorne's Algebraic Geometry Exercise 2.2 (Chapter 1).

Reducing elliptic curves -- why can we also reduce the endomorphisms?

Is a morphism of varieties determined by its behaviour on an open subset

Intersection of an arbitrary number of projective varieties

Compute the Zariski closure of a set

Does the completions $\hat{\mathscr{O}}_P(X)\simeq \hat{\mathscr{O}}_Q(Y)$ could deduce local rings $\mathscr{O}_P(X)\simeq \mathscr{O}_Q(Y)$?

Composition of Gysin and restriction maps on $\ell$-adic cohomology

Example of (maximal) projective spectrum

Segre Embedding and lines on $x^2+y^2+z^2=1$ over $\mathbb{C}$

Potential typo in Fulton's "Algebraic Curves"

Show the fibers are geometrically connected

Is Every Closed Algebraic Set of Dimension $n$ Contained in a Closed Variety of Dimension $n+1$

Cokernel of $\mathcal{O}_m\to\mathcal{O}_n$ on $\mathbb{P}^1$

Chow's Lemma proof in Milne's Book: Locality of immersions.

Chow's Lemma proof in Milne's Book: Cartesian diagram

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