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15
111
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Rational points on elliptic curve over a local field correspond to integral points on minimal Weierstrass model

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#elliptic-curves #arithmetic-geometry
160
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Finiteness of the Brauer group and torsion-freeness of Picard group of a rationally connected variety over an algebraically closed field

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#number-theory #algebraic-geometry #arithmetic-geometry
80
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Is rational connectedness a constructible property?

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#number-theory #algebraic-geometry #arithmetic-geometry
63
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Degree of variety over $\mathbb{Q}$ versus over $\mathbb{F}_p$

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#algebraic-geometry #arithmetic-geometry
58
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Global sections of a Vojta divisor: a lemma for Faltings' theorem and Vojta's inequality

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#algebraic-geometry #algebraic-curves #arithmetic-geometry
83
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What would a arithmetic surface look like

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#arithmetic-geometry
178
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Is an integer extension of a ring the integral closure of this ring in some extension?

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#number-theory #algebraic-number-theory #arithmetic-geometry #integral-extensions
29
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Base change to make singular points on singular fibers split

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#algebraic-geometry #arithmetic-geometry
336
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Algebraic 1-cocycles and Galois gerbs

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#algebraic-geometry #galois-theory #algebraic-groups #group-cohomology #arithmetic-geometry
232
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Pullback of a scheme along the Frobenius morphism

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#algebraic-geometry #commutative-algebra #arithmetic-geometry
95
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Frobenius for modular curves.

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#number-theory #algebraic-geometry #modular-forms #arithmetic-geometry
596
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Why é​t​a​l​e​?

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#algebraic-geometry #schemes #arithmetic-geometry #etale-cohomology
643
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Torsion points of an elliptic curve (example in Silverman)

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#number-theory #elliptic-curves #arithmetic-geometry
68
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$\mathbb{C}$-valued points and flatness

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#algebraic-geometry #arithmetic-geometry
921
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Bad reduction at prime numbers for the elliptic curve $y^2+y=x^3-x^2+2x-2$

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#algebraic-geometry #algebraic-number-theory #elliptic-curves #arithmetic-geometry

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