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Shafarevich's problem 1.7, showing the existence of a rational function.

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#algebraic-geometry #algebraic-curves #birational-geometry
92
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Parabola features

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#algebraic-geometry #conic-sections
48
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Why are transition functions regular, invertible functions?

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#algebraic-geometry
88
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Module and Ring

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#linear-algebra #abstract-algebra #algebraic-geometry #ring-theory #modules
124
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Does $H^2(X_{Zar},\mathcal{O}_X^\times)=0$ for $X$ a regular scheme?

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#algebraic-geometry #sheaf-cohomology
592
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Realize the locus of homogeneous polynomials of degree $d$ as a projective variety.

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#linear-algebra #algebraic-geometry #commutative-algebra #projective-geometry #projective-space
342
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Whats the relationship between a presheaf and its sheafification?

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#algebraic-geometry #sheaf-theory
355
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How are rational algebraic Hodge classes of type $ (p,p) $ defined?

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#algebraic-geometry #homology-cohomology #complex-geometry #hodge-theory
56
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How do we know that reducing $E/K$ commutes with the addition law for $K$ local field

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#number-theory #algebraic-geometry #algebraic-number-theory #elliptic-curves #local-field
170
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Geometry Problem: Find the area of $ABCD$ square

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#algebra-precalculus #geometry #algebraic-geometry #euclidean-geometry
1.5k
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Geometric interpretation of ramification of prime ideals.

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#number-theory #algebraic-geometry #algebraic-number-theory #algebraic-curves #ramification
793
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Hidden variable resultant for solution of a system of polynomial equations

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#linear-algebra #algebraic-geometry #polynomials #systems-of-equations #resultant
205
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Property of the Zariski Topology $V(J) \subset V(I)$

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#algebraic-geometry #commutative-algebra #zariski-topology
83
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First isomorphism theorem of sheaves -- do you need to sheafify if the map is surjective on basis sets?

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#algebraic-geometry #sheaf-theory
470
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Is this a closed embedding of schemes?

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#algebraic-geometry #commutative-algebra #schemes

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