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BLOWING UP IN THE CATEGORY OF FORMAL COMPLEX SPACES(Real Singularities and Real Algebraic Geometry)
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Full-body rotation measurements of micro-sized curved fibers in turbulence
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Three Algorithms in Algebraic Geometry, Coding Theory and Singularity Theory
2001We describe three algorithms in algebraic geometry, coding theory and singularity theory, which are new, resp. have new ingredients. Moreover, we put special emphasis on their implementation in the computer algebra system Singular. The first algorithm computes the normalization of an affine reduced ring, an ideal defining the non-normal locus and, as ...
G.-M. Greuel, C. Lossen, M. Schulze
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Singularities in Algebraic and Analytic Geometry
2000Factoring the Jacobian by S. S. Abhyankar and A. Assi Weak normalization and weak subintegral closure by M. A. Vitulli Integral dependence and weak subintegrality by L. G. Roberts Singularities and direct-sum decompositions by R. Wiegand Valuations in algebra and geometry by S. D.
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2011
In this chapter, the classical line geometry is modeled in ℝ3,3, where lines are represented by null vectors, and points and planes by null 3-blades. The group of 3D special projective transformations SL(4) when acting upon points in space induces a Lie group isomorphism, with SO(3,3) acting upon lines.
Hongbo Li, Lixian Zhang
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In this chapter, the classical line geometry is modeled in ℝ3,3, where lines are represented by null vectors, and points and planes by null 3-blades. The group of 3D special projective transformations SL(4) when acting upon points in space induces a Lie group isomorphism, with SO(3,3) acting upon lines.
Hongbo Li, Lixian Zhang
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