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Support of principal divisor and exceptional locus

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#algebraic-geometry #projective-varieties
167
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Example of morphism of irreducible varieties with reducible fibre

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#algebraic-geometry #affine-varieties #projective-varieties
273
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Why the affine homography matrix can be recovered from the combination of elements of largest eigenvalues?

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#projective-geometry #svd #computer-vision #projective-varieties
65
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Direct image of a vanishing set $V_+(H(\overline{X}))$ expressed as vanishing set of polynomials

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#algebraic-geometry #projective-varieties
30
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Let $V,W$ be quasi-projective varieties. Then $f:V\rightarrow W$ is regular iff $f_i:f^{-1}(W_i)\rightarrow W_i$ are regular for all $i.$

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#algebraic-geometry #projective-varieties
103
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Arrow-reversing Proj and blow-up

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#algebraic-geometry #blowup #birational-geometry #projective-varieties
178
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How many blowups do we need to make a pencil base point free?

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#algebraic-geometry #blowup #projective-varieties
256
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Hartshorne Exercise I.7.7

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#algebraic-geometry #commutative-algebra #projective-varieties
430
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Generators of the ideal of the projective closure

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#algebraic-geometry #affine-varieties #projective-varieties
217
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Hartshorne Chapter 1 exercise 6.4: Maps of curves and function fields.

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#algebraic-geometry #algebraic-curves #projective-varieties
263
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Very ample line bundle and the induced embedding

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#algebraic-geometry #projective-varieties #line-bundles
276
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Analytification of a smooth projective variety is a compact Kähler manifold.

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#algebraic-geometry #kahler-manifolds #hodge-theory #projective-varieties
114
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Transitivity of being parabolic subgroup

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#algebraic-geometry #algebraic-groups #homogeneous-spaces #projective-varieties
548
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Smoothness implies a condition on the Jacobian in every affine open

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#algebraic-geometry #singularity #affine-varieties #projective-varieties
114
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If $X$ is a smooth projective curve and $g(X)=0$, then $X$ is a plane conic.

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#algebraic-geometry #algebraic-curves #projective-varieties

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