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» Point Counting on Singular Hypersurfaces
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ANTS
2008
Springer
99views Algorithms» more  ANTS 2008»
13 years 7 months ago
Point Counting on Singular Hypersurfaces
We discuss how one can extend to hypersurfaces with isolated singularities the methods of Gerkmann, Abbott-Kedlaya-Roe and Lauder for counting points on smooth hypersurfaces.
Remke Kloosterman
JMIV
1998
130views more  JMIV 1998»
13 years 5 months ago
Topological Numbers and Singularities in Scalar Images: Scale-Space Evolution Properties
Singular points of scalar images in any dimensions are classified by a topological number. This number takes integer values and can efficiently be computed as a surface integral ...
Stiliyan Kalitzin, Bart M. ter Haar Romeny, Alfons...
PG
2007
IEEE
13 years 11 months ago
Visualisation of Implicit Algebraic Curves
We describe a new algorithm for the visualisation of implicit algebraic curves, which isolates the singular points, compute the topological degree around these points in order to ...
Lionel Alberti, Bernard Mourrain
COMPGEOM
2005
ACM
13 years 7 months ago
On the exact computation of the topology of real algebraic curves
We consider the problem of computing a representation of the plane graph induced by one (or more) algebraic curves in the real plane. We make no assumptions about the curves, in p...
Raimund Seidel, Nicola Wolpert