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genus of a curve $y^p=-x^2+x$ for odd prime $p$

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#algebraic-geometry #algebraic-curves #arithmetic-geometry
73
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Jacobian of hyper elliptic curve and $\Bbb{C}^g/Λ$

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#number-theory #algebraic-geometry #elliptic-curves #arithmetic-geometry #abelian-varieties
32
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Numerator of zeta $Z(C/\Bbb{F}_q, T)$ and Cayley-Hamilton theorem and Frobenius

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#number-theory #arithmetic-geometry #zeta-functions
65
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Mazur's theorem for general number fields

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#number-theory #algebraic-geometry #elliptic-curves #arithmetic-geometry
151
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Vector bundles on curves and Adeles

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#algebraic-geometry #algebraic-groups #arithmetic-geometry
129
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If special fiber of $S$ is smooth, can we say $S$ itself is regular?

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#algebraic-geometry #schemes #arithmetic-geometry
32
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Correspondence for $U_p$ operator

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#number-theory #reference-request #modular-forms #arithmetic-geometry #hecke-algebras
83
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For a proper scheme $X,$ $X(\mathbb{Z})=X(\mathbb{Q})?$

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#algebraic-geometry #algebraic-number-theory #schemes #arithmetic-geometry
173
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Is hasse bound of elliptic curve larger when we discard smoothness?

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#number-theory #algebraic-geometry #elliptic-curves #arithmetic-geometry
115
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Bad reduction of normalization of singular curve $5y^2=x^4-17$

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#number-theory #algebraic-geometry #elliptic-curves #arithmetic-geometry
74
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Compatibility between cycle class map and pushforward on Chow group

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#algebraic-geometry #algebraic-topology #smooth-manifolds #homology-cohomology #arithmetic-geometry
176
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How to calculate the Arithmetic Zeta function?

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#algebraic-geometry #computational-geometry #arithmetic-geometry
47
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Books on abelian varieties

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#algebraic-geometry #arithmetic-geometry #abelian-varieties
77
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Let $C'$ be normalization of singular curve $C$. Does $C(K)\neq \emptyset$ imply $C'(K)\neq \emptyset$?

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#algebraic-geometry #schemes #arithmetic-geometry
144
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Gluing two affine curves to make a smooth curve

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#algebraic-geometry #curves #elliptic-curves #arithmetic-geometry #projective-varieties

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