EÎ'(X, A) = Ê\T, H\X, A)) where H denotes the Tate cohomology ofir [l, Chapter 12 ] and H'(X, A) is the jth Cech cohomology group of (X, A) with arbitrary coefficients and with w action induced by that on X. The term Ew is the graded module associated with a certain filtered module J*(XyA). This sequence is natural with respect to ir-equivariant maps of (X, A). If w acts trivially on X, the seq...

For an embedding of sufficiently high degree of a smooth projective variety X into projective space, we use residues to define a filtered holonomic D-module (M, F) on the dual projective space. This gives a concrete description of the intermediate extension to a Hodge module on P of the variation of Hodge structure on the middle-dimensional cohomology of the hyperplane sections of X . We also e...

We develop a suitable version of the stable module category of a finite group G over an arbitrary commutative ring k. The purpose of the construction is to produce a compactly generated triangulated category whose compact objects are the finitely presented kG-modules. The main idea is to form a localisation of the usual version of the stable module category with respect to the filtered colimits...

This paper presents a vision system for tracking a 3D articulated human model from the observation of isolated features from multiple viewpoints. A generic model is instantiated by estimating invariant elements (limb lengths) during tracking. The model is used as feedback both in the estimation module for filtering and in the segmentation module where it predicts the feature’s position and size...

The paper presents a module for topic identification that is embedded into a complex system for acquisition and storing large volumes of text data from the Web. The module processes each of the acquired data items and assigns keywords to them from a defined topic hierarchy that was developed for this purposes and is also described in the paper. The quality of the topic identification is evaluat...

This paper presents a methodology to biological image classification through a Rough-Fuzzy Artificial Neural Network (RFANN). This approach is used in order to improve the learning process by Rough Sets Theory (RS) focusing on the feature selection, considering that the RS feature selection allows the use of low dimension features from the image database. This result could be achieved, once the...

In this paper, we empirically demonstrate what we call the domain restriction hypothesis, claiming that semantically related terms extracted from a corpus tend to be semantically coherent. We apply this hypothesis to define a post-processing module for the output of Espresso, a state of the art relation extraction system, showing that irrelevant and erroneous relations can be filtered out by ou...