Aphorism
发表于 2025-3-26 22:15:23
Projective algebraic sets,n intersections always contain a certain number of special cases due to parallel lines or asymptotes. For example, in the plane two distinct lines meet at a unique point except when they are parallel. In projective space, there are no such exceptions.
食物
发表于 2025-3-27 04:19:28
Sheaves and varieties,he role played by homogeneous polynomials and graded rings in projective geometry. The most important difference, however, is the functions. If . is an affine algebraic set, we have a lovely function algebra .(.) and an almost perfect dictionary translating properties of . into properties of .(.). O
Infant
发表于 2025-3-27 08:34:09
Dimension,(curves) and 2 (surfaces)… We will give a very natural topological definition of dimension, which is not always easy to work with, followed by other definitions which are easier to work with but which depend on results from algebra.
stress-test
发表于 2025-3-27 13:25:39
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轨道
发表于 2025-3-27 16:27:03
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星星
发表于 2025-3-27 18:42:08
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GULP
发表于 2025-3-27 23:42:33
C. Loebbecke,P. Powell,P. Finnegan,W. Goldenne of the problems of projective geometry is that elements of .(.) do not define functions on ., even in the simplest case, namely a homogeneous polynomial, since if . ∈ . and . is homogeneous of degree ., then the quantity .(.) depends on the choice of representative: .(λ.) = λ.(.).
抛物线
发表于 2025-3-28 05:05:47
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一加就喷出
发表于 2025-3-28 08:35:31
Sheaves and varieties,ne of the problems of projective geometry is that elements of .(.) do not define functions on ., even in the simplest case, namely a homogeneous polynomial, since if . ∈ . and . is homogeneous of degree ., then the quantity .(.) depends on the choice of representative: .(λ.) = λ.(.).
落叶剂
发表于 2025-3-28 12:26:26
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