Sinuate 发表于 2025-3-21 18:20:39

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negotiable 发表于 2025-3-21 20:28:37

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Solace 发表于 2025-3-22 01:54:23

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分发 发表于 2025-3-22 05:02:46

Continuous Non-linear Systems,surfaces carrying an irrational pencil Σ of curves. Obviously, such a pencil (supposing for simplicity that the curves of the pencil are irreducible) cannot be contained in a linear system of dimension ., where . is necessarily ≧2, because the curves of the pencil are of virtual degree zero (II, 1).

偏见 发表于 2025-3-22 12:12:32

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champaign 发表于 2025-3-22 12:53:11

Magmatic and Sub-magmatic Deformation,. is any 1-cycle on ., the integral . is called . if . ≁ 0 on ., a . if . ∽ 0. A simple integral . without periods (i. e. whose periods all vanish) is a constant, a rational function or a logarithmo-rational function of ., according as . is of the first, second or third kind.

愚笨 发表于 2025-3-22 20:39:08

Simple and Double Integrals on an Algebraic Surface,. is any 1-cycle on ., the integral . is called . if . ≁ 0 on ., a . if . ∽ 0. A simple integral . without periods (i. e. whose periods all vanish) is a constant, a rational function or a logarithmo-rational function of ., according as . is of the first, second or third kind.

有毒 发表于 2025-3-22 21:21:03

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抑制 发表于 2025-3-23 04:12:05

https://doi.org/10.1007/0-306-47543-Xnch point of . if . is fixed and generic. It may be necessary to include the line at infinity of the projective plane (.) in the branch curve. However, we may always choose the coördinates . and . in such a manner that the line at infinity does not belong to the branch curve.

notion 发表于 2025-3-23 07:40:07

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查看完整版本: Titlebook: Algebraic Surfaces; Oscar Zariski Book 1995Latest edition Springer-Verlag Berlin Heidelberg 1995 Dimension.Excel.algebra.algebraic curve.a