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What is a quotient of given Fermat curve?

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#number-theory #algebraic-geometry #curves #arithmetic-geometry
70
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Number of rational points of $C:y^5=-x^2+x$ over $ \Bbb{F}_5$

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#algebraic-number-theory #elliptic-curves #arithmetic-geometry #abelian-varieties
155
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When is the generic fibre geometrically irreducible?

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#algebraic-geometry #schemes #arithmetic-geometry
83
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How elliptic curve $E/ \Bbb{Q}: X^3+Y^3+60Z^3=0$ acts simply transitively on $C/ \Bbb{Q}: 3X^3+4Y^3+5Z^3=0$?

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#elliptic-curves #group-actions #arithmetic-geometry
90
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Definition of degree of Frobenius of abelian variety and its dual

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#algebraic-geometry #definition #elliptic-curves #arithmetic-geometry #abelian-varieties
33
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Rational sections of the relative dualising sheaf

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#algebraic-geometry #differential-forms #schemes #arithmetic-geometry
171
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To prove given elliptic curve is Jacobi variety of given genus $1$ curve

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#algebraic-geometry #elliptic-curves #arithmetic-geometry #abelian-varieties
139
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Action of the complex conjugation on modular Galois representations

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#number-theory #algebraic-number-theory #elliptic-curves #modular-forms #arithmetic-geometry
58
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Convergence of Riemann Zeta function for curves over the field $\mathbb{F_{q}}$

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#schemes #riemann-zeta #arithmetic-geometry #zeta-functions
109
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Endmorphism $φ$ of genus $2$ curve which satisfies $φ^2+φ-1=0$

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#number-theory #algebraic-geometry #arithmetic-geometry
131
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The relation between formal group $\frac{X+Y}{1-XY}$ and algebraic group $x^2+y^2=1$ with group law $*$

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#number-theory #power-series #tangent-line #arithmetic-geometry #formal-groups
42
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Is $\log_p(x^z)=z \log_p(x)$ for $z \in \mathbb Z_p$?

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#number-theory #p-adic-number-theory #arithmetic-geometry
325
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number of rational points of hyper elliptic curve $y^5=-x^2+x$ over $\Bbb{F}_{121}$

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#number-theory #finite-fields #elliptic-curves #algebraic-curves #arithmetic-geometry
78
Views

Definition $L$ function of elliptic curve

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#algebraic-geometry #representation-theory #arithmetic-geometry #abelian-varieties #l-functions
148
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Why $[K:\Bbb{Q}]\leq2\dim A$ holds for CM abelian variety?

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#number-theory #algebraic-geometry #arithmetic-geometry #abelian-varieties #complex-multiplication

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