28,363 research outputs found
Hodge filtered complex bordism
We construct Hodge filtered cohomology groups for complex manifolds that
combine the topological information of generalized cohomology theories with
geometric data of Hodge filtered holomorphic forms. This theory provides a
natural generalization of Deligne cohomology. For smooth complex algebraic
varieties, we show that the theory satisfies a projective bundle formula and
\A^1-homotopy invariance. Moreover, we obtain transfer maps along projective
morphisms.Comment: minor revision; final version accepted for publication by the Journal
of Topolog
Algorithm 830: Another Visit With Standard and Modified Givens Transformations and A Remark on Algorithm 539
First we report on a correction and improvement to the Level 1 Blas routine srotmg for computing the Modified Givens Transformation (MG). We then, in the light of the performance of the code on modern compiler/hardware combinations, reconsider the strategy of supplying separate routines to compute and apply the transformation. Finally, we show that the apparent savings in multiplies obtained by using MG rather than the Standard Givens Transformation (SG) do not always translate into reductions in execution time
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