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15
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Finding the integral closure of $k[x]$ in $k(x)(\sqrt{f})$, where $f(x)=x^6+tx^5+t^2x^3+t\in k[x]$.

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#arithmetic-geometry
257
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decomposition group and inertia group, the minimal polynomial,surjectivity of the map $D_{M/P}\rightarrow Gal$

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#abstract-algebra #number-theory #galois-theory #algebraic-number-theory #arithmetic-geometry
150
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Modular parametrization from equality of $L$-functions

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#reference-request #elliptic-curves #modular-forms #arithmetic-geometry #l-functions
451
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An abelian variety not isogenous to a Jacobian

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#algebraic-geometry #algebraic-number-theory #finite-fields #arithmetic-geometry #abelian-varieties
480
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Finding elliptic curves achieving the upper and lower bounds of Hasse's Interval

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#algebraic-geometry #finite-fields #elliptic-curves #arithmetic-geometry
222
Views

Roadmap to rigid cohomology

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#reference-request #homology-cohomology #p-adic-number-theory #arithmetic-geometry
277
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Are there counterexamples of isogeny elliptic curves with non-isomorphic integral Tate modules?

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#elliptic-curves #arithmetic-geometry #galois-representations
103
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Moduli interpretation of the integral anticanonical tower

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#number-theory #algebraic-geometry #arithmetic-geometry
70
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$p$-th coefficient of weight $2$ new form with $p | N$ must be $1$ or $0$ or $-1$?

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#number-theory #algebraic-geometry #modular-forms #arithmetic-geometry
89
Views

Is $p$ an anomalous prime?

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#number-theory #elliptic-curves #arithmetic-geometry
53
Views

Torsion of elliptic curves and abelian extensions

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#galois-theory #elliptic-curves #arithmetic-geometry
305
Views

Proposition 1.6.6, Etale Cohomology theory, Lei Fu

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#algebraic-geometry #arithmetic-geometry #flatness #etale-cohomology #descent
450
Views

Are problems in "Arithmetica" of Diophantus all solved now?

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#number-theory #elementary-number-theory #math-history #elliptic-curves #arithmetic-geometry
83
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Strong Approximation theorems in Function Fields versus Groups

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#abstract-algebra #algebraic-geometry #lie-groups #arithmetic-geometry
246
Views

Smooth proper variety over $\mathbb Q$ with everywhere bad reduction

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#algebraic-geometry #reference-request #arithmetic-geometry

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