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Find a rational parametrization of an affine conic section

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#geometry #conic-sections #projective-geometry
208
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A degree of an embedding and a self-intersection of a hyperplane section

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#algebraic-geometry #surfaces #projective-geometry
16
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Induced collinearities

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#linear-algebra #geometry #projective-geometry
72
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Automorphism group of the projective line $\mathbb{P}^1(\mathbb{Z})$

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#algebraic-geometry #projective-geometry #automorphism-group
32
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A question regarding to the Wikipedia definition of homography (or projective transformation).

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#definition #projective-geometry #projective-space #projection-matrices
72
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Non-singular Conics are equivalent to some projective line.

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#solution-verification #conic-sections #projective-geometry #bilinear-form
227
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Projective Mapping of translated Quadric

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#conic-sections #projective-geometry #quadrics
294
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Order of Vanishing on Projective Variety

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#algebraic-geometry #projective-geometry #algebraic-curves #valuation-theory
268
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Understanding projective plane conceptually (page-342, Road to Reality by Roger Penrose)

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#projective-geometry
39
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Matrix powers up to multiplicative factor

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#linear-algebra #matrix-decomposition #projective-geometry
94
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Non singular point of a projective plane curve

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#algebraic-geometry #projective-geometry #algebraic-curves
154
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Straight line in projective plane is plane in vector space (Road to Reality , page-343)

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#linear-algebra #differential-geometry #projective-geometry #projective-space
57
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Projective Basis Explanation, Visualisation

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#geometry #projective-geometry
285
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Does tautological line bundle $\mathcal{O}(-1)$ over complex projective space have zero section?

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#differential-geometry #complex-geometry #vector-bundles #projective-geometry #projective-space
139
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How do we project a coordinate in 4-dimensions to that of a 3-dimensional coordinate?

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#projective-geometry #projection

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