Anthropoid 发表于 2025-3-23 10:59:24
Fundamentals of the Theory of Analytic Sets, U.: |z.| < r, counted with multiplicities. Then f can, in a certain neighborhood U = U’ × U. ⊂ V of the coordinate origin in ℂ., be represented in the form . where the functions c.(z’) are holomorphic in U’, while ϕ is holoniorphic and zero free in U.不容置疑 发表于 2025-3-23 16:45:30
Tangent Cones and Intersection Theory,ne with vertex 0 since if ν ∈ .(., .), then .ν also belongs to .(., .) for all . ≥ 0. Geometrically the cone .(., .) is the set of limit positions of secants of . passing through .; it is the set of limit points of the family of sets .(. − .) = {.(. − .):. ∈ .} as .→∞. If . ∉ Ē then, by definition, the set . (., .) is empty.的事物 发表于 2025-3-23 21:35:17
http://reply.papertrans.cn/24/2314/231395/231395_13.pngsynchronous 发表于 2025-3-23 23:56:24
http://reply.papertrans.cn/24/2314/231395/231395_14.pngremission 发表于 2025-3-24 05:25:58
Tangent Cones and Intersection Theory,uch that . → . and . (. − .) → ν as .→ ∞. The set of all such tangent vectors is denoted by .(., .) and is called the . to . at .. This really is a cone with vertex 0 since if ν ∈ .(., .), then .ν also belongs to .(., .) for all . ≥ 0. Geometrically the cone .(., .) is the set of limit positions ofHILAR 发表于 2025-3-24 10:33:32
http://reply.papertrans.cn/24/2314/231395/231395_16.png痛苦一生 发表于 2025-3-24 13:06:12
http://reply.papertrans.cn/24/2314/231395/231395_17.pngcornucopia 发表于 2025-3-24 17:21:30
0169-6378in the purely algebraic language of ideals in commutative algebras..In the present book I have tried to eliminate this noncorrespondence and to give a geometri978-94-010-7565-7978-94-009-2366-9Series ISSN 0169-6378biosphere 发表于 2025-3-24 19:30:25
http://reply.papertrans.cn/24/2314/231395/231395_19.png晚来的提名 发表于 2025-3-24 23:40:58
Metrical Properties of Analytic Sets,ally define in .Ω the operation of multiplication by a complex number ((. + .). = . +.), and complex conjugation Σ{.(∂/∂.)+.(∂/∂.) ↦ Σ{.(∂/∂.)−.(∂/∂.) (in .Ω the operator Σ.(∂/∂.) ↦ Σ̄.(∂/∂.) corresponds to it; do not confuse it with the corresponding operation in ℂ.Ω!). Hermiticity of .(.,.′) means