Computing the Dimension of a Projective Variety: the Projective Noether Maple Package

Algorithm 2 refines a view complement consisting of a single projection by computing one that consists of multiple projections and, although not minimal in general, transfers less

When a surface (or a variety) varies in a family, the Picard number takes various values in general, and it is usually not easy to determine which values are actually taken.. In

is a canonical decomposition of the collineation group 0152 == G fG with respect to its reduced symplectic structure (cf. III below). They play a very useful role

From the perspective of classical point-set topology, we now already know that Pt(P(A)) is homeomorphic to the topological space ob- tained by glueing together the Pt [L (A[J-^)\

On the basis of partial results on this conjecture obtained by Eisenbud and Harris we establish an upper bound for the genus and the Clifford index of curves

third spinor (.Q AB or WA/B) arises correspondingly. Defining the concept of special bivectors in the spin-space, we arrive at the hypercomplex numbers of Dirac

We construct the de Rham moduli space M^(X, G) for principal G-bundles with integrable connection, and the Dolbeault moduli space Mp^(X, G) for principal Higgs bundles for the group

This is the moduli space M(A, P) for ^-semistable A-modules with Hilbert polynomial P. In both constructions, that of§ 1 and that of§ 4, we use Grothendieck's embedding of this