Yet another version of Mumford's theorem

The aim of this note is to provide a variant statement of Mumford's theorem. This variant states that for a general variety, all Chow groups are "as large as possible", in the sense that they cannot be supported on a divisor.Comment: 7 pages. Comments welcome

The Future US Role in Internet Governance: 7 points in response to the US Commerce Department's "Statement of Principles"

On June 30, 2005, the United States Department of Commerce National Telecommunications and Information Administrtation (NTIA) released the "US Statement of Principles on the Internet's Domain Name and Addressing System." The Internet Governance Project (IGP) has issued the following response to the NTIA's declaration. We applaud the attention Commerce Department officials are giving to this critical issue. The NTIA's declaration is welcome as a formalization of current US policy, in advance of the now-released report of the UN Working Group on Internet Governance. However, the debate has moved on, and so too must US policy. We make 7 points in response to the "Statement of Principles" showing the direction we believe is in the interests of the United States and the world

CONDITIONS AND CONSEQUENCES

This elementary 4-page paper is a preliminary survey of some of the most important uses of ‘condition’ and ‘consequence’ in American Philosophy. A more comprehensive treatment is being written. Your suggestions, questions, and objections are welcome. A statement of a conditional need not be a conditional statement and conditional statement need not be a statement of a conditional

Twisted K-homology,Geometric cycles and T-duality

Twisted $K$-homology corresponds to $D$-branes in string theory. In this paper we compare two different models of geometric twisted $K$-homology and get their equivalence. Moreover, we give another description of geometric twisted $K$-homology using bundle gerbes. We establish some properties of geometric twisted $K$-homology. In the last part we construct $T$-duality isomorphism for geometric twisted $K$-homology.Comment: We modify the statement about the six-term exact sequence of geometric twisted $K$-homology. Some Typos are corrected. Comments are welcome

L^2-Betti numbers of hypersurface complements

In \cite{DJL07} it was shown that if \scra is an affine hyperplane arrangement in \C^n, then at most one of the $L^2$--Betti numbers b_i^{(2)}(\C^n\sm \scra,\id) is non--zero. In this note we prove an analogous statement for complements of complex affine hyperurfaces in general position at infinity. Furthermore, we recast and extend to this higher-dimensional setting results of \cite{FLM,LM06} about $L^2$--Betti numbers of plane curve complements.Comment: 10 pages; comments are very welcome; v2: minor clarifications added in the tex