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prime index coefficients of $L$-functions of Elliptic Curves over $\mathbb{Q}$ and analytical rank

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#number-theory #elliptic-curves #arithmetic-geometry
55
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Global functions on arithmetic varieties

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#algebraic-geometry #schemes #sheaf-cohomology #arithmetic-geometry
495
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What is a shtuka?

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#algebraic-geometry #arithmetic-geometry
174
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$4$-torsion points of elliptic curve in field extension of odd degree

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#algebraic-geometry #elliptic-curves #arithmetic-geometry
70
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Meaning of Torsion in Chow groups

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#complex-analysis #number-theory #algebraic-geometry #terminology #arithmetic-geometry
36
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Existence of a model for $(X,L)$

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#algebraic-geometry #schemes #arithmetic-geometry #line-bundles
107
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If E is non-singular then it has non-singular weierstrass equation

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#algebraic-geometry #riemann-surfaces #arithmetic-geometry
91
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Equality of divisors under Galois action in Silverman

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#number-theory #algebraic-geometry #galois-theory #elliptic-curves #arithmetic-geometry
59
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Rank of $E: y^2 = x^3 + t^{p+1} + 1$ over $k(t)$ with $k = \mathbb{F}_{p^2}$ and $p \equiv -1 \mod 6$

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#algebraic-geometry #elliptic-curves #arithmetic-geometry
108
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Computing Divisors with MAGMA

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#number-theory #algebraic-geometry #elliptic-curves #arithmetic-geometry #magma-cas
62
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When is the anticanonical sheaf ample, on an arithmetic surface of genus 0?

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#algebraic-geometry #schemes #arithmetic-geometry #coherent-sheaves #line-bundles
146
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Criteria for splitting of exact sequences of flat $R$-algebras

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#abstract-algebra #commutative-algebra #homological-algebra #arithmetic-geometry #group-schemes
95
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Isomorphism of Brauer groups

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#algebraic-geometry #arithmetic-geometry #brauer-group
189
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Is $H^1_{et}( \overline{C},\mathbb Q_l)$ irreducible as a Galois representation?

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#algebraic-curves #arithmetic-geometry #etale-cohomology #galois-representations
223
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Method of associating Galois representation to normalized Hecke eigenform of weight 2 not work for other weights. Why?

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#modular-forms #arithmetic-geometry #galois-representations

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