Titlebook: Computational Algebraic Geometry; Frédéric Eyssette,André Galligo Conference proceedings 1993 Birkh?user Boston 1993 Mathematica.Volume.al

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https://doi.org/10.1007/978-1-4612-2752-6Mathematica; Volume; algebra; algebraic geometry; algebraic number theory; commutative algebra; commutativ

Goblet-Cells

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,Gr?bner Bases and Standard Monomial Theory,hadri et al. can be used to compute Gr?bner bases. This generalizes results of Sturmfels and White in which straightening has been interpreted as a normal form computation with respect to a Gr?bner basis.

Diuretic

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 ..

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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.

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,Disproving Hibi’s Conjecture with CoCoA or Projective Curves with bad Hilbert Functions,ly CoCoA (see [G-N] and [A-G-N])) 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.

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Progress in Mathematicshttp://image.papertrans.cn/c/image/232088.jpg

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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.