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Dimension of Closed Projective Scheme

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#algebraic-geometry #proof-explanation
56
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Degree of curve where matrix of polynomials has rank 1

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#algebraic-geometry #vector-bundles #intersection-theory
423
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Isomorphisms of complex (foliated) n-tori

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#algebraic-geometry #foliations #holomorphic-foliations
309
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A natural isomorphism $\Omega_X \to T_{X,0}^* \otimes _k \mathscr{O}_X$ on an abelian variety $X$ (and the identification of vector fields)

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#algebraic-geometry #abelian-varieties
67
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On the notion of projective isomorphism

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#algebraic-geometry
293
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Vanishing locus of global section of invertible sheaf has codimension one

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#algebraic-geometry #reference-request #sheaf-theory #line-bundles
104
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Level sets and quotients on affine varieties

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#algebraic-geometry #equivalence-relations #quotient-spaces #affine-varieties
83
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Find unique solution to certain $N$ and related $N+1$ order polynomial (one solution, numerically known, looking for proof)

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#number-theory #algebraic-geometry #polynomials #induction
632
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Homomorphism of coordinate rings induces a polynomial map

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#algebraic-geometry
223
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An affine variety $W\subset V$ is an irreducible component of $V$ if and only if $I(W)$ is a minimal prime ideal over $I(V)$.

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#algebraic-geometry
129
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Is $k[x,y]/{(f,g)}$ an integral domain, where $f$ and $g$ are irreducibles?

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#abstract-algebra #algebraic-geometry #commutative-algebra #ideals #maximal-and-prime-ideals
54
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Is it possible to characterize all quotient rings of $\mathbb{C}[t]$?

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#algebraic-geometry #commutative-algebra #ideals
969
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Why does a flat finite type morphism of irreducible noetherian schemes map generic pt to generic pt

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#algebraic-geometry #commutative-algebra #schemes #flatness
352
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Can two projective surfaces intersect in points only?

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#geometry #algebraic-geometry #surfaces #intersection-theory
51
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How to show $f^{-1}(D)/f^{-1}(C)\simeq D/C$ by the language of Abelian category?

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#algebraic-geometry #category-theory #homology-cohomology #homological-algebra

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