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15
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An intersection calculation over a finite field

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#algebraic-geometry #arithmetic-geometry #intersection-theory
66
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Smoothness of diagonal hypersurfaces

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#algebraic-geometry #zeta-functions #arithmetic-geometry
141
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A twisted version of the modular curve $X_1(N)$

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#modular-forms #arithmetic-geometry
50
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Product formula for zeta function over finite field

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#algebraic-geometry #arithmetic-geometry
230
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Explicit elliptic fibration for $x_0^4+x_1^4+x_2^4+x_3^4=0$ (Fermat's quartic)

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#algebraic-geometry #arithmetic-geometry #k3-surfaces
305
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Fraction field of $p$-adic power series ring

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#algebraic-number-theory #p-adic-number-theory #arithmetic-geometry
368
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Lang-Nishimura theorem still carries through or fails when assumptions are dropped?

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#abstract-algebra #number-theory #algebraic-geometry #algebraic-number-theory #arithmetic-geometry
75
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Constructing a morphism out of a family of morphisms of algebraic varieties

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#number-theory #algebraic-geometry #arithmetic-geometry
1.7k
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Gauss circle problem : a simple asymptotic estimation.

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#geometry #asymptotics #integer-lattices #arithmetic-geometry
283
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What is $\text{Res}_{\mathbb{F}_p(t)/\mathbb{F}_p(t^p)}(\text{Spec}\,\mathbb{F}_p(t)[x]/(x^p - t))$?

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#abstract-algebra #number-theory #algebraic-geometry #algebraic-number-theory #arithmetic-geometry
1.9k
Views

"Spreading out" a smooth, connected $\mathbb{C}$-scheme of finite type.

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#number-theory #algebraic-geometry #schemes #fiber-bundles #arithmetic-geometry
851
Views

Why is the fundamental group a sheaf in the etale topology?

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#algebraic-geometry #galois-theory #fundamental-groups #arithmetic-geometry #grothendieck-topologies
234
Views

Which modular forms correspond to abelian varieties?

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#algebraic-number-theory #modular-forms #arithmetic-geometry #abelian-varieties
175
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Why must the universal cover of a variety with a rational point also have a rational point?

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#algebraic-geometry #arithmetic-geometry
243
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Divisor on an arithmetic surface and "base change"

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#number-theory #algebraic-geometry #schemes #arithmetic-geometry #divisors-algebraic-geometry

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