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The canonical divisor of the projective line

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#algebraic-geometry #algebraic-curves #schemes #arithmetic-geometry #projective-space
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Are there infinitely many pairs of rational numbers such that...

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#number-theory #algebraic-geometry #algebraic-number-theory #arithmetic-geometry
573
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Abelian subvarieties of a principally polarized abelian variety are principally polarized

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#algebraic-geometry #arithmetic-geometry #abelian-varieties
173
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If $X\times C$ is isomorphic to $Y\times C$, does it follow that $X$ is isomorphic to $Y$

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#algebraic-geometry #algebraic-curves #schemes #arithmetic-geometry #abelian-varieties
126
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Why is the rank of $f_\ast L$ the degree of $f$

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#algebraic-geometry #algebraic-curves #arithmetic-geometry #covering-spaces
618
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Where does this elliptic curve come from?

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#algebraic-geometry #elliptic-curves #characters #arithmetic-geometry #k3-surfaces
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Self-Intersection Number $-2$

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#algebraic-geometry #arithmetic-geometry #intersection-theory
112
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Pulling-back a divisor and reducing it

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#algebraic-geometry #algebraic-curves #arithmetic-geometry #covering-spaces
74
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Are there moduli spaces of higher-dimensional varieties

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#algebraic-geometry #surfaces #arithmetic-geometry
70
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glueing formal sheaves to obtain a maximal ideal

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#algebraic-geometry #sheaf-theory #arithmetic-geometry
901
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Doesn't Abhyankar's lemma contradict faithful flat descent (no, but I'm confused)

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#number-theory #algebraic-geometry #algebraic-number-theory #galois-theory #arithmetic-geometry
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Elliptic curves over Spec Z

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#algebraic-geometry #elliptic-curves #arithmetic-geometry
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Definition of tamely ramified

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#number-theory #algebraic-geometry #algebraic-number-theory #arithmetic-geometry
620
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Ramification indices and residue degrees of a finite Galois extension

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#number-theory #algebraic-geometry #algebraic-number-theory #riemann-surfaces #arithmetic-geometry
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Why should automorphism groups of compact hyperbolic curves be finite

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#algebraic-geometry #riemann-surfaces #algebraic-curves #complex-geometry #arithmetic-geometry

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