Results 161 to 170 of about 60,914 (171)

THE EULER NUMBER OF A TOPOLOGICALLY STABLE SINGULAR SURFACE IN A 3-MANIFOLD(Real Singularities and Real Algebraic Geometry)

open access: yesTHE EULER NUMBER OF A TOPOLOGICALLY STABLE SINGULAR SURFACE IN A 3-MANIFOLD(Real Singularities and Real Algebraic Geometry)
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BLOWING UP IN THE CATEGORY OF FORMAL COMPLEX SPACES(Real Singularities and Real Algebraic Geometry)

open access: yesBLOWING UP IN THE CATEGORY OF FORMAL COMPLEX SPACES(Real Singularities and Real Algebraic Geometry)
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Dynkin graphs and combinations of singularities on some algebraic varieties(Combinatorial Aspects in Representation Theory and Geometry)

open access: yesDynkin graphs and combinations of singularities on some algebraic varieties(Combinatorial Aspects in Representation Theory and Geometry)
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Some results restricting the mutual position of the components of a nonsingular real algebraic curve in $\mathbb{R}$P$^1 \times \mathbb{R}$P$^1$(Singularities of C$^\infty$ -maps and Contact Geometry)

open access: yesSome results restricting the mutual position of the components of a nonsingular real algebraic curve in $\mathbb{R}$P$^1 \times \mathbb{R}$P$^1$(Singularities of C$^\infty$ -maps and Contact Geometry)
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Three Algorithms in Algebraic Geometry, Coding Theory and Singularity Theory

2001
We 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

2000
Factoring 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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Line Geometry in Terms of the Null Geometric Algebra over ℝ3,3, and Application to the Inverse Singularity Analysis of Generalized Stewart Platforms

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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