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What is the meaning of the residue field of a point in scheme?

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#algebraic-geometry #schemes #affine-varieties #projective-varieties
302
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How do we construct the projective line?

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#algebraic-geometry #algebraic-groups #projective-varieties
152
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Very Ample sheaves

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#algebraic-geometry #commutative-algebra #schemes #coherent-sheaves #projective-varieties
47
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Quartic in the projective space and exact sequence of sheaves

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#algebraic-geometry #sheaf-theory #exact-sequence #coherent-sheaves #projective-varieties
253
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Divisor class group of $X$ and $X - p$

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#algebraic-geometry #divisors-algebraic-geometry #projective-varieties
472
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What is the moduli space $M _{0,5}$?

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#projective-space #moduli-space #projective-varieties
180
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Map from a curve to the projective plane

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#algebraic-geometry #projective-geometry #projective-varieties
598
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Morphism between a projective and an affine varieties has finitely many points in its image

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#algebraic-geometry #affine-varieties #projective-varieties
623
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Algebraic, Projective, and Riemannian Geometry: How do they interact?

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#differential-geometry #algebraic-geometry #projective-geometry #geodesic #projective-varieties
89
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Existence of a certain polynomial on $\mathbb P_k^n$

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#algebraic-geometry #schemes #divisors-algebraic-geometry #projective-varieties
95
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The tensor product of the canonical line bundle and k(x) for a closed point x

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#algebraic-geometry #projective-varieties #line-bundles
123
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Are complete varieties in the sense of Weil the same as proper varieties?

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#algebraic-geometry #projective-schemes #projective-varieties
95
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Embedding of a variety

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#algebraic-geometry #sheaf-theory #rational-functions #divisors-algebraic-geometry #projective-varieties
121
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Embeddings of a surface that are given by linear systems of divisors

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#algebraic-geometry #surfaces #divisors-algebraic-geometry #coherent-sheaves #projective-varieties
115
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Exercise 8.2 Harris Algebraic Geometry

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#algebraic-geometry #projective-varieties

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