Linear systems of rational curves on rational surfaces

Given a curve C on a projective nonsingular rational surface S, over an algebraically closed field of characteristic zero, we are interested in the set Omega_C of linear systems Lambda on S satisfying C is in Lambda, dim Lambda > 0, and the general member of Lambda is a rational curve. The main result of the paper gives a complete description of Omega_C and, in particular, characterizes the curves C for which Omega_C is non empty

Navigation mechanisms of herring during feeding migration: the role of ecological gradients on an oceanic scale

The feeding migration of Norwegian spring-spawning herring was studied in relation to prey abundance and environmental factors that may affect their feeding migration. Temperature, salinity, chlorophyll a, nitrate concentration, abundance of Calanus finmarchicus, zooplankton biomass, acoustic data on herring and trawl samples were collected during four basin-scale surveys in the Norwegian Sea from April to August 1995. Herring abundance was positively associated with the overwintering population of C. finmarchicus. We suggest that spatial gradients and temporal dynamics of the seasonal ascent of the C. finmarchicus overwintering generation provide stimuli for and affect the feeding migration of herring. The clockwise migration pattern of herring, observed during the 1990s, can be explained by delayed ascent and development of C. finmarchicus toward the west and north in the Norwegian Sea. We further suggest that herring leave a specific area before their zooplankton prey is depleted. The first generation of C. finmarchicus likely has a minor influence in directing the herring feeding migration due to the low abundance of older stages available as prey. The feeding migration was constantly directed toward colder water, and temperature probably has a secondary effect on herring distribution

A new social compact: how university engagement can fuel innovation

Richard K. Lester feels that colleges and universities, because they are immobile, can replace local institutions whose leadership has been eroded by globalization. However, university attempts to improve the regional economy must be well-planned. North Dakota clearly illustrates benefits of a strategic approach to university and college interaction with the economy. This paper examines the degree to which their Higher Education Roundtable fits into the specific model of engagement proposed by Lester. Much of the specificity of the North Dakota plan came in the implementation, which has been guided by specific accountability measures. Because such measures can not only reflect priorities but also set them, this paper evaluates the new initiatives in North Dakota with an independent set of metrics that assess university efforts to foster innovation. While the two sets of metrics are largely compatible, North Dakota University System does not evaluate qualitative goals throughout the university system. This paper argues that qualitative outputs from higher education are often under reported in assessments of economic and social benefits attributed to universities and colleges.Education, Higher - Economic aspects

Superisolated Surface Singularities

In this survey, we review part of the theory of superisolated surface singularities (SIS) and its applications including some new and recent developments. The class of SIS singularities is, in some sense, the simplest class of germs of normal surface singularities. Namely, their tangent cones are reduced curves and the geometry and topology of the SIS singularities can be deduced from them. Thus this class \emph{contains}, in a canonical way, all the complex projective plane curve theory, which gives a series of nice examples and counterexamples. They were introduced by I. Luengo to show the non-smoothness of the $\mu$-constant stratum and have been used to answer negatively some other interesting open questions. We review them and the new results on normal surface singularities whose link are rational homology spheres. We also discuss some positive results which have been proved for SIS singularities.Comment: Survey article for the Proceedings of the Conference "Singularities and Computer Algebra" on Occasion of Gert-Martin Greuel's 60th Birthday, LMS Lecture Notes (to appear