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Meaning of "isomorphism over the regular points"

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#algebraic-geometry #definition #schemes
549
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Proof explanation, singular point of an affine variety

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#abstract-algebra #algebraic-geometry #commutative-algebra
424
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A Presheaf satisfying a sort of Unique Gluing axiom is a Sheaf ?

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#algebraic-geometry #commutative-algebra #category-theory #sheaf-theory
369
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Pullback of divisors and pullback of invertible sheaves

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#algebraic-geometry
55
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Ordering rotational axis of symmetry

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#linear-algebra #geometry #algebraic-geometry #symmetry
810
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Twisted cubic as a complete intersection

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#algebraic-geometry
134
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Different version of Lefschetz hyperplane theorem

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#algebraic-geometry #homology-cohomology #complex-geometry
83
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What is the use of considering non-reduced schemes?

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#algebraic-geometry #soft-question #schemes
797
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Why is any finite set of points on a twisted cubic curve, in general position?

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#algebraic-geometry #intersection-theory
61
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$p_*(F) \simeq \prod_{s \in S} F_s$ where $F$ is a sheaf, $S$ is discrete space.

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#algebraic-geometry #sheaf-theory
78
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How to find the prime ideals of $\mathbb{Z}[i]$ using the associated map of spectra?

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#algebraic-geometry #ring-theory #algebraic-number-theory
304
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Symmetric power of Euler sequence

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#algebraic-geometry #sheaf-theory
404
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Cohomology and inverse image of divisors

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#algebraic-geometry #algebraic-curves #schemes #sheaf-cohomology
259
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$Pic^0$ as Ker of the first Chern class in connection with homological equivalence

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#algebraic-geometry
555
Views

$\dim H^0(X, \mathcal{O}_D) \leq 1 + \deg D$ when $-1 \leq \deg D \leq g - 1$

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#algebraic-geometry #complex-geometry #sheaf-theory #riemann-surfaces #sheaf-cohomology

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