WebAbstract. Piecewise constant mean curvature (P-CMC) surfaces are generated using the mean curvature flow (MCF). As an extension of the known fact that a CMC surface is … WebAbstract. Let S y m 3 C P ∗ ( k ⊕ S y m 3 k ⊕ S y m 3 k ⊕ k) = P 13, A ↦ ( 1: A: A ′: det A) be the Veronese embedding of the space of symmetric matrices of degree 3, where A ′ is the cofactor matrix of A. The closure SpG ( 3, 6) of this image is a 6-dimensional homogeneous variety of the symplectic group Sp ( 3).
Universal secant bundles and syzygies of canonical curves
WebJul 29, 2007 · We show that the implicit equation of a surface in 3-dimensional projective space parametrized by bi-homogeneous polynomials of bi-degree ( d,d )for a given integer d ≥1 can be represented and computed from the linear syzygies of its parametrization if the base points are isolated and form locally a complete intersection. References WebJan 1, 2005 · This work extends the algorithm provided by Cox [Cox, D.A., 2001. Equations of parametric curves and surfaces via syzygies. In: Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering. chapter 29 over the counter medication
CANONICAL SYZYGIES OF SMOOTH CURVES ON TORIC …
WebCurves Surfaces Square vs non-square Motivation: Matrix representations for curves The set Syz(φ) of all linear syzygies is a graded K[s,s¯]-module and for any integer νthe graded part Syz(φ) ν is a finite-dimensional K-vector space with a basis (L1,...,L k). The matrix M ν of coefficients with respect to a K-basis of K[s,s¯] ν is M ν ... WebApr 10, 2000 · exactly as in the case of elliptic curves: Theorem (char(k)=0). Let Abe an ample line bundle on an abelian variety X. If n p+3,thenA n satis es condition N p. For elliptic curves this amounts to Green’s theorem and, in arbitrary dimension, the cases p=0;1 are the aforementioned results of Koizumi and Mumford. It is WebFeb 2, 2015 · We unveil in concrete terms the general machinery of the syzygy-based algorithms for the implicitization of rational surfaces in terms of the monomials in the … harname fabl mı