circumvent 发表于 2025-3-23 13:00:52
https://doi.org/10.1007/978-1-4612-2752-6Mathematica; Volume; algebra; algebraic geometry; algebraic number theory; commutative algebra; commutativGoblet-Cells 发表于 2025-3-23 16:19:45
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,Gröbner Bases and Standard Monomial Theory,hadri et al. can be used to compute Gröbner bases. This generalizes results of Sturmfels and White in which straightening has been interpreted as a normal form computation with respect to a Gröbner basis.Diuretic 发表于 2025-3-24 00:50:31
Versal deformations of powers of volume forms,. has a μ-parameter versal deformation for almost every value of .. Exceptional values of . form a discrete set of negative rational numbers. Given ., the versal deformation can be obtained algorithmically. For non-exceptional values of . it is the same as the versal deformation of the germ of a function ..半身雕像 发表于 2025-3-24 03:45:03
Applications of Algebraic Geometry to Computer Vision,in vision problems naturally involve polynomial equations; ii) with the increase in available computing power it is easier to implement algorithms which stay close to the geometry underlying vision; and iii) algebraic geometry may in future provide methods for assessing the stability of algorithms against small perturbations in the data.paleolithic 发表于 2025-3-24 09:16:52
,Disproving Hibi’s Conjecture with CoCoA or Projective Curves with bad Hilbert Functions,ly CoCoA (see and )) in order to explicitly construct Cohen-Macaulay domains, which are standard .-algebras and whose Hilbert function is “bad”. In particular we disprove a well-known conjecture by Hibi.conflate 发表于 2025-3-24 11:36:27
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Progress in Mathematicshttp://image.papertrans.cn/c/image/232088.jpgCOUCH 发表于 2025-3-24 21:44:44
http://reply.papertrans.cn/24/2321/232088/232088_19.pngBLANC 发表于 2025-3-24 23:27:53
Sorin Adam Matei,Brian C. BrittWe prove some new facts concerning metric properties of semi algebraic sets and on this base establish some geometric properties of nearcritical trajectories in polynomial control problems.