清楚说话 发表于 2025-3-25 07:19:39
https://doi.org/10.1007/978-3-540-35775-9 characteristic zero. There is a theorem that states that such a resolution does exist (), but if we want to know how to resolve the singularities the theorem falls short for providing an algorithm.讽刺 发表于 2025-3-25 11:09:48
https://doi.org/10.1007/978-3-540-35775-9 that ., ., . are homogeneous polynomials of degree ., with no common factors and satisfying Euler’s equation . + . + . ≡ 0. In this way we have a rational map . defined on ℙ.Sing(.) which associates to each . the point in . corresponding to the line defined by . at ..文字 发表于 2025-3-25 14:43:54
https://doi.org/10.1007/978-3-540-35775-9convaincre le lecteur qu’il existe une construction courte et claire d’une désingularisation de .. Ce qui signifie qu’il existe une variété projective régulière .. et un morphisme projectif .: .. → . qui est un isomorphisme au-dessus de l’ouvert de régularité de ..entrance 发表于 2025-3-25 19:07:20
http://reply.papertrans.cn/16/1527/152616/152616_24.png栖息地 发表于 2025-3-25 20:05:16
Decoherence and Quantum Computing,aka proved in 1964 that every algebraic variety over a field of characteristic zero admits a resolution of singularities which is obtained by successive blowing ups of certain regular centers. Moreover, he proves the stronger version of embedded resolution of singularities, i.e., for every (singDiastole 发表于 2025-3-26 02:20:01
Decoherence and Quantum Computing,irreducible components, the resolution complexity, the Puiseux pairs of the irreducible components and their intersection multiplicities. In fact, the Puiseux pairs of the irreducible components and their intersection multiplicities are enough to describe the embedding topological type of . (see [17Customary 发表于 2025-3-26 05:44:28
http://reply.papertrans.cn/16/1527/152616/152616_27.png工作 发表于 2025-3-26 08:58:53
https://doi.org/10.1007/978-3-540-35775-9 that ., ., . are homogeneous polynomials of degree ., with no common factors and satisfying Euler’s equation . + . + . ≡ 0. In this way we have a rational map . defined on ℙ.Sing(.) which associates to each . the point in . corresponding to the line defined by . at ..anticipate 发表于 2025-3-26 15:27:15
Decoherence and Quantum Computing,neous polynomial defining an isolated singularity, and deg .. < deg ... We assume that ..,…,.. are positive integers and let deg always denote the weighted degree, i.e., deg .. = ..α. +⋯+ ..α. for a monomial .. For an arbitrary power series ., deg . denotes the smallest weighted degree of a monomial注射器 发表于 2025-3-26 19:40:09
The Varieties of Master Equationsy. In constructible geometry we apply the Grassmann blowing-up to rephrase the proof of the Henry-Merle Proposition (cf. section 4). This proposition plays an important role in the theory of polar varieties , . After that (cf. section 5) we give a certain description of Whit