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Homogeneous prime ideals of two isomorphic rings

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#abstract-algebra #algebraic-geometry #commutative-algebra #localization #projective-schemes
720
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Line bundle on projective $A$-scheme is the difference between two very ample line bundles

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#algebraic-geometry #sheaf-theory #projective-schemes
410
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Scheme-theoreic proof of the projective plane is quasi-compact

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#algebraic-geometry #schemes #projective-schemes
192
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Understanding the scheme theoreic defintion of the projective plane

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#algebraic-geometry #schemes #projective-schemes
709
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Definition of quasi-projective morphism, and closed immersions and open immersions "commute"

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#algebraic-geometry #schemes #projective-schemes
378
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Why are the global sections of structure sheaf of Proj$S$ just the homogenous elements of $S$?

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#algebraic-geometry #projective-space #graded-rings #projective-schemes #quasicoherent-sheaves
211
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Does a locally projective scheme over an affine scheme embed into projective space?

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#algebraic-geometry #schemes #projective-schemes
1.1k
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Behavior of a variety under base change

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#algebraic-geometry #schemes #projective-schemes #affine-varieties
1.1k
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The complement of any projective hyperplane is an affine variety

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#algebraic-geometry #algebraic-topology #projective-space #projective-schemes #zariski-topology
195
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Affine schemes which are also projective schemes

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#algebraic-geometry #schemes #affine-schemes #projective-schemes
1.7k
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Classifying Quasi-coherent Sheaves on Projective Schemes

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#algebraic-geometry #projective-schemes #quasicoherent-sheaves #projective-space
1.3k
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Stalks on Projective Scheme

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#algebraic-geometry #schemes #projective-schemes
1.3k
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graded ring homomorphism induces isomorphism on Proj

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#algebraic-geometry #projective-schemes
1.6k
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Is the graph of morphism of projective varieties $X \rightarrow Y$ closed in $X \times Y$?

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#algebraic-geometry #projective-geometry #projective-schemes
926
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Proj construction and ample dualizing sheaf

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#algebraic-geometry #schemes #projective-schemes

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