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Why is the degree of a rational map of projective curves equal to the degree of the homogeneous polynomials?

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#algebraic-geometry #extension-field #algebraic-curves #function-fields
24
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Degree of the field extension $\bar{k}(Z_f) /\bar{k}(x)$

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#field-theory #extension-field #arithmetic-geometry #function-fields
101
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how to check for irreducibility

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#polynomials #finite-fields #function-fields
204
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Another Tangent on Tangents

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#complex-analysis #algebraic-geometry #ordinary-differential-equations #function-fields
152
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On Intermediate Fields of $\mathbb{C}(x_1,\dots,x_n)$

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#field-theory #galois-theory #function-fields
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Is a field perfect iff the primitive element theorem holds for all extensions, and what about function fields

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#abstract-algebra #field-theory #finite-fields #function-fields
164
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Linear disjointness of two "explicit" field extensions

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#field-theory #function-fields
1k
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Existence of morphism of curves such that field extension degree > any possible ramification?

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#algebraic-geometry #function-fields
325
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Separability of compositum of fields

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#field-theory #function-fields
264
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A field isomorphism related to polynomial rings and their field of fractions

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#algebraic-curves #function-fields
339
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Residue map of a place

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#algebraic-curves #function-fields
641
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Artin-Schreier extensions over characteristic two fields

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#algebraic-geometry #algebraic-curves #function-fields
487
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Hyper-elliptic curves in positive characteristic

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#algebraic-geometry #algebraic-curves #function-fields
1.1k
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Two notions of uniformizer

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#algebraic-geometry #field-theory #algebraic-curves #function-fields
1.3k
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Completion of a rational function field w.r.t. place at infinity

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#number-theory #function-fields

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