List questions from projective-varieties

Published on 25 Mar 2026 - 20:34

53

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

Published on 10 Apr 2026 - 20:17

156

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

Published on 08 Apr 2026 - 21:46

45

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Intersection of an arbitrary number of projective varieties

Published on 15 Apr 2026 - 19:04

114

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Compute the Zariski closure of a set

Published on 25 Mar 2026 - 20:42

122

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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 13 Apr 2026 - 18:03

143

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

Published on 07 May 2026 - 3:59

52

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Example of (maximal) projective spectrum

Published on 12 Apr 2026 - 2:49

60

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

Published on 16 Apr 2026 - 10:16

75

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Potential typo in Fulton's "Algebraic Curves"

Published on 15 Apr 2026 - 4:04

90

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Show the fibers are geometrically connected

Published on 13 Apr 2026 - 1:39

147

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

Published on 13 Apr 2026 - 0:30

90

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

Published on 17 Apr 2026 - 10:11

50

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

Published on 11 Apr 2026 - 15:53

152

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

Published on 13 Apr 2026 - 3:25

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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