منابع مشابه
Quadric Veronesean Caps
In [2], a characterization theorem for Veronesean caps in PG(N,K), with K a skewfield, is provided. This result extends the theorem for the finite case proved in [7]. Although the statement of this theorem is correct, the proof given in [2] is incomplete, as some lemmas from [7] are proved using counting arguments and hence require a different approach in the infinite case. In this paper we use...
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In [4], a characterization theorem for Veronesean varieties in PG(N,K), with K a skewfield, is proved. This result extends the theorem for the finite case proved in [6]. In this paper, we prove analogous results for Hermitian varieties, extending the results obtained in the finite case in [1] in a non-trivial way.
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The chords of a twisted cubic in PG(3, q) are mapped via their Plucker coordinates to the points of a Veronese surface lying on the Klein quadric in PG(5, q). This correspondence over a finite field gives a cap in PG(5, q), that is, a set of points no three of which are collinear. The dual structure, namely the axes of the osculating developable, is also mapped to a Veronese surface. The two su...
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The second Veronese ideal In contains a natural complete intersection Jn generated by the principal 2-minors of a symmetric (n× n)-matrix. We determine subintersections of the primary decomposition of Jn where one intersectand is omitted. If In is omitted, the result is the other end of a complete intersection link as in liaison theory. These subintersections also yield interesting insights int...
متن کاملQuadric splines
Surface rendering or point location on a surface can easier be accomplished in an implicit rather than parametric representation This observation has been the key motivation for developing piecewise algebraic splines In particular Dahmen and Guo used triangular segments of quadrics to build tangent plane continuous surfaces interpolating the vertices of a trian gular net with prescribed normals...
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ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 2013
ISSN: 1370-1444
DOI: 10.36045/bbms/1366306711