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Non-radical ideal giving the empty set.

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#algebraic-geometry #ideals
238
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Is $y^2 =$ quartic in $x$ smooth at infinity?

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#algebraic-geometry #elliptic-curves #algebraic-curves
299
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Degree 2 Fermat curve

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#algebraic-geometry #algebraic-curves
488
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The ring of homogeneous polynomials

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#algebraic-geometry #polynomials #ring-theory
5.1k
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Closed immersion definition

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#algebraic-geometry #definition #schemes
420
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Can we prove that a quasi-compact locally noetherian space is noetherian without Axiom of Choice?

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#algebraic-geometry #axiom-of-choice
761
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Application of Lefschetz duality to prove Lefschetz hyperplane theorem

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#algebraic-geometry #algebraic-topology #morse-theory
4.6k
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On the use of "generic" and "general" in algebraic geometry

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#algebraic-geometry #terminology
168
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Can Hom(X,Y) be given a natural scheme structure?

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#algebraic-geometry #schemes
741
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Irreducibility of $x^2+y^2+z^2-xyz-2$

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#algebraic-geometry #polynomials #irreducible-polynomials
426
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Connection(gauge field) in Fubini-Study metric is pull back of a connection A of line bundle $\mathcal{O}(1)$ on $\mathbb{CP}^{N-1}$

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#algebraic-geometry #differential-geometry #mathematical-physics #sheaf-theory #sheaf-cohomology
584
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How are Jacobians of genus $3$ curves different from one another?

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#algebraic-geometry #algebraic-curves
173
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Why do we have $H_2(X,\mathbb Z)\cong\mathbb Z$ for the quintic threefold $X\subset\mathbb P^4$?

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#algebraic-geometry #homology-cohomology
464
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Coherent and Cauchy Sequences.

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#algebraic-geometry #commutative-algebra #formal-completions
1.7k
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Sheafification of the Presheaf of continuous and bounded functions

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#algebraic-geometry #sheaf-theory

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