Then 12 research papers report on such matters as the Alexander module of a trigonal curve, fibered links of singularities of polar weighted homogeneous mixed polynomials, classes in the classification of curves on rational surfaces with respect to logarithmic pluri-genera, computing algebraic local cohomology classes
associated with semi-quasihomogeneous singularities, some geometric-arithmetic aspects of separated variable curves, and mirror symmetry between orbifold projective lines and cusp singularities.
5, the iso-classes of ample division algebras in C(G,[omega],R) with D = C are in 1-1 correspondence with the cohomology classes
of s, hence are parametrized by the second cohomology group [H.
The quantum product of two cohomology classes
is defined in terms of three point Gromov-Witten invariants
All these cohomology classes
are represented by closed differential form, and they generate the characteristic cohomology ring of P.
In this way the dependence of the conjecture on the role of the canonical cohomology classes of Tate in defining [[omega].
12 will in particular indicate the vital dependence of Chinburg's conjecture upon the use of the canonical cohomology classes of Tate in the definition of [[omega].
Among details are generalities on homogeneous complex manifolds, generalities on homogeneous vector bundles, the Penrose transform in the compact case, and special values of cuspidal automorphic cohomology classes
The equivariant cohomology classes
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] are called the equivariant Chern classes of [eta].
The consequences for the attendant cohomology classes
are as follows.
2] -cup-length, cup(X), of a compact path connected topological space X is defined to be the maximum of all numbers c such that there exist, in positive degrees, cohomology classes [a.
We now examine the cup-length of the oriented Grassmann manifolds; we first present some results on the height of cohomology classes.