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Is $\mathbb{C}(x,y)$ a rational function field?

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#abstract-algebra #field-theory #function-fields
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Finite extensions of $\mathbb F_p(t)$

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#field-theory #galois-theory #function-fields
249
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Generalisation of Fermat's Little Theorem in Function Fields

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#algebraic-number-theory #function-fields
160
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The sum of all primitive $n$-th roots of unity in the algebraic closure of $F(x)$

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#abstract-algebra #polynomials #field-theory #algebraic-number-theory #function-fields
140
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extension of a valuation on a function field

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#field-theory #valuation-theory #function-fields
193
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Expected genus of a function field over a finite field

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#galois-theory #finite-fields #function-fields
485
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There are no archimedean function fields

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#field-theory #absolute-value #valuation-theory #function-fields
338
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Function field on a regular scheme of dimension $1$

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#algebraic-geometry #schemes #function-fields
432
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Is the function field of a variety a function field?

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#algebraic-geometry #field-theory #schemes #function-fields
513
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Number of square-free polynomials over a finite field - a combinatorial interpretation?

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#number-theory #algebraic-geometry #algebraic-number-theory #finite-fields #function-fields
68
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Analogue of orbit counting formula in $F[x]$

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#group-theory #finite-groups #algebraic-number-theory #finite-fields #function-fields
62
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Analogy between group theoretic number theory proofs and function fields

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#group-theory #algebraic-number-theory #function-fields
29
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compute order x/z in Q

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#algebraic-geometry #algebraic-curves #function-fields
82
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Genus of extension $\mathbb{C}(T)(\sqrt{T^n + 1})$

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#abstract-algebra #number-theory #algebraic-geometry #algebraic-number-theory #function-fields
191
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Some elements of the function field of the Fermat curve

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#algebraic-geometry #algebraic-curves #function-fields

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