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A field extension with same transcendental degree is algebraic

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How to detemine an automorphism of elliptic curve is linear

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905
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Problem Fulton Algebraic Curves

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Exercise 2.44 Fulton's Algebraic Curves

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221
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Map induced on Jacobians by ramified morphism of smooth curves

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#algebraic-geometry #algebraic-curves #divisors-algebraic-geometry
144
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Isogeny problem for elliptic curves over the rationals

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140
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Fulton Surjective Polynomial Map Chapter 2

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Prove that two polynomials $f,g \in k[X]$ have a common root in $\bar k$ iff $f,g$ have a common factor in $k[X])$.

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444
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composition of rational maps between two curves in Silverman

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1.2k
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Definition of "good reduction"

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#algebraic-geometry #algebraic-curves #arithmetic-geometry
304
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Is $x^5+x+5=y^2$ solvable over the integers?

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#number-theory #elementary-number-theory #algebraic-geometry #diophantine-equations #algebraic-curves
181
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An introductory book on varieties and smooth algebraic curves?

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#algebraic-geometry #book-recommendation #algebraic-curves #affine-varieties
277
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How a finite extension of transcendence degree $1$ extensions induces a morphism of curves

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#algebraic-geometry #algebraic-curves #schemes #valuation-theory #dedekind-domain
306
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An exercise on the coordinate ring of algebraic curves

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261
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Proving that a cubic curve over $\Bbb{C}$ is homeomorphic to a torus

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