Towards a combinatorial Intersection Cohomology for Fans

The real intersection cohomology of a toric variety is described in a purely combinatorial way using methods of elementary commutative algebra only. We define, for arbitrary fans, the notion of a ``minimal extension sheaf'' on the fan as an axiomatic characterization of the equivariant intersection cohomology sheaf. This provides a purely algebraic interpretation of Stanley's generalized f- and g-vector of an arbitrary polytope or complete fan under a natural vanishing condition. -- The results presented in this note originate from joint work with G.Barthel, J.-P.Brasselet and L.Kaup, continuing earlier research (see math.AG/9904159). A detailed exposition will appear elsewhere (see math.AG/0002181).Comment: 8 pages, TeX, special macros are included, To appear in CRAS, Acad. Sci. Pari

Partnerships, Lemons and Efficient Trade

We analyze the possibility of efficient trade with informationally interdependent valuations and with a dispersed ownership. A crucial role is played by the sign of the derivatives that measure how valuation functions depend on others’ signals. If valuations are increasing functions of other agents’ signals, it is more difficult to achieve efficient trade with interdependent values than with private values (where the respective derivatives are zero.) In contrast, if valuations are decreasing functions of other agents’ signals, it is easier to achieve efficient trade with interdependent values. Our results unify and generalize the insights of Cramton et al. [1987], Myerson and Satterthwaite [1983], and Akerlof [1970].

Diversity and function of phage encoded depolymerases

Bacteriophages of the Podoviridae family often exhibit so-called depolymerases as structural components of the virion. These enzymes appear as tail spike proteins (TSPs). After specific binding to capsular polysaccharides (CPS), exopolysaccharides (EPS) or lipopolysaccharide (LPS) of the host bacteria, polysaccharide-repeating units are specifically cleaved. Finally, the phage reaches the last barrier, the cell wall, injects its DNA, and infects the cell. Recently, similar enzymes from bacteriophages of the Ackermannviridae, Myoviridae, and Siphoviridae families were also described. In this mini-review the diversity and function of phage encoded CPS-, EPS-, and LPSdegrading depolymerases is summarized. The function of the enzymes is described in terms of substrate specificity and applications in biotechnology

Equivariant Intersection Cohomology of Toric Varieties

We investigate the equivariant intersection cohomology of a toric variety. Considering the defining fan of the variety as a finite topological space with the subfans being the open sets (that corresponds to the "toric" topology given by the invariant open subsets), equivariant intersection cohomology provides a sheaf (of graded modules over a sheaf of graded rings) on that "fan space". We prove that this sheaf is a "minimal extension sheaf", i.e., that it satisfies three relatively simple axioms which are known to characterize such a sheaf up to isomorphism. In the verification of the second of these axioms, a key role is played by "equivariantly formal" toric varieties, where equivariant and "usual" (non-equivariant) intersection cohomology determine each other by Kunneth type formulae. Minimal extension sheaves can be constructed in a purely formal way and thus also exist for non-rational fans. As a consequence, we can extend the notion of an equivariantly formal fan even to this general setup. In this way, it will be possible to introduce "virtual" intersection cohomology for equivariantly formal non-rational fans.Comment: 31 pages, AMS-Latex (all "private" macros included), to be published in "Algebraic Geometry - Hirzebruch 70" (Proceedings of the conference at the Banach Centre, Warszawa, May 1998), Contemporary Mathematics, AM

Partnerships, lemons and efficient trade

We analyze the possibility of efficient trade with informationally interdependent valuations and with a dispersed ownership. A crucial role is played by the sign of the derivatives that measure how valuation functions depend on others’ signals. If valuations are increasing functions of other agents’ signals, it is more difficult to achieve efficient trade with interdependent values than with private values (where the respective derivatives are zero.) In contrast, if valuations are decreasing functions of other agents’ signals, it is easier to achieve efficient trade with interdependent values. Our results unify and generalize the insights of Cramton et al. [1987], Myerson and Satterthwaite [1983], and Akerlof [1970]

Social Media — Herausforderungen für den Journalismus

Zusammenfassung: Das journalistische Geschäftsmodell steckt in einer Krise. Nicht nur die Leserzahlen sinken, sondern auch die Werbeeinnahmen — sowohl die Leser als auch die Werbegelder wandern ab ins Internet. Doch genau dort bietet das Internet mit den sozialen Medien dem Journalismus auch eine Chance, sich neu zu definieren. Durch ein neues Rollenverständnis und ein verändertes Verhältnis zwischen Lesern und Journalisten kann der Journalismus beweisen, dass er noch immer Mehrwerte schafft, die nicht ersetzt werden könne

Complete genome sequences of escherichia coli phages vB_EcoM-EP75 and vB_EcoP-EP335

Phages vB_EcoM-EP75 (EP75) and vB_EcoP-EP335 (EP335) specifically infect Shiga toxin (Stx)-producing Escherichia coli (STEC) O157 strains. EP75 has a genome size of 158,143 bp and belongs to the genus Vi1virus The genome size of EP335 is 76,622 bp, and it belongs to the genus Phieco32virus