List questions from projective-varieties

Published on 11 Dec 2020 - 10:10

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Showing the inclusion is a birational equivalence.

Published on 26 Mar 2026 - 7:33

296

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Global sections of powers of a line bundle which is of the form $L' \otimes L$, where $L'$ is globally generated and $L$ is a torsion element.

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Homogeneous ideal vs. cone

Published on 18 Dec 2020 - 20:03

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Two different definitions of Grassmannian

Published on 21 Dec 2020 - 13:00

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Non-projective variety which is topologically homeomorphic to closed subset of $\mathbb{P}^n_k$

Published on 28 Dec 2020 - 20:10

167

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The Underlying Set of Product Variety in the Classic Language

Published on 06 Jan 2021 - 19:17

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Differential of defining Equation System (from David Mumfords Complex Algebraic Geometry)

Published on 12 Jan 2021 - 21:46

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Integral cohomology. follows from GAGA?

Published on 15 Jan 2021 - 4:24

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Is a rational and projectively normal curve a rational normal curve?

Published on 18 Jan 2021 - 21:13

276

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Fallacy in solution attempt to Hartshorne exercise chapter I, 2.11

Published on 21 Jan 2021 - 19:38

842

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Description of ideal of intersection of two projective varieties

Published on 21 Jan 2021 - 22:13

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Priving that the degree of an irreducible nondegenerate subvariety of $\mathbb{P^n}$ satisfies $d\ge n-k+1$

Published on 04 Feb 2021 - 20:59

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An explicit construction of the "Veronese embedding".

Published on 15 Feb 2021 - 0:32

99

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Counting dimension of hypersurfaces in $\mathbb{P}^3$ containing three disjoint lines

Published on 17 Feb 2021 - 20:33

List Question

Zeroes of homogeneous polynomial on projective curve

Showing the inclusion is a birational equivalence.

Global sections of powers of a line bundle which is of the form $L' \otimes L$, where $L'$ is globally generated and $L$ is a torsion element.

Homogeneous ideal vs. cone

Two different definitions of Grassmannian

Non-projective variety which is topologically homeomorphic to closed subset of $\mathbb{P}^n_k$

The Underlying Set of Product Variety in the Classic Language

Differential of defining Equation System (from David Mumfords Complex Algebraic Geometry)

Integral cohomology. follows from GAGA?

Is a rational and projectively normal curve a rational normal curve?

Fallacy in solution attempt to Hartshorne exercise chapter I, 2.11

Description of ideal of intersection of two projective varieties

Priving that the degree of an irreducible nondegenerate subvariety of $\mathbb{P^n}$ satisfies $d\ge n-k+1$

An explicit construction of the "Veronese embedding".

Counting dimension of hypersurfaces in $\mathbb{P}^3$ containing three disjoint lines

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