Koppelman formulas on Grassmannians

We construct Koppelman formulas on Grassmannians for forms with values in any holomorphic line bundle as well as in the tautological vector bundle and its dual. As a consequence we obtain some vanishing theorems of the Bott-Borel-Weil type. We also relate the projection part of our formulas to the Bergman kernels associated to the line bundles.Comment: sections 5.3 and 6.2 are ne

Odlingsvärda arter inom släktet Schisandra

Schisandra tillhör familjen Schisandraceae och omfattar runt 23 arter, varav flertalet återfinns i östra och sydöstra Asien. Släktet är fascinerande genom sitt klängande växtsätt, uppseendeväckande röda fruktklasar, och sitt innehåll av verksamma medicinska substanser. Släktet är välkänt inom folkhälsomedicin och har länge använts i uppiggande syfte. Växtdelar tros också kunna bota olika åkommor och sjukdomar. Ofta används frukterna, vilka innehåller nyttiga ämnen såsom C- och E-vitamin, flavonoider, jod, mineralämnen och det centralstimulerande ämnet schizandrin. Av löv och unga skott kan man göra ett uppiggande te. Släktet, som på svenska fått namnet fjärilsrankor, börjar med rätta uppmärksammas även hos oss i Sverige

Public Opinions about Causes of Declining Fertility in Developing Countries

Research indicates multiple causes of declining total fertility rate (TFR) in developing countries, including reduced child mortality, improved education and economy, family planning programmes and female empowerment. However, public opinions about the causes have rarely been studied. Using surveys in 2022 in Sweden and Nigeria, we compare answers of educated citizens to the question of why fertility (birth rate) has fallen in developing countries (also in Nigeria). In Sweden, 72 per cent of respondents suggested improved living conditions, including economy and education, lower infant mortality and generally progressive development. In contrast, in Nigeria 66 per cent of the respondents suggested that poverty, bad socioeconomic conditions and poor health cause declining birth rates. Birth rates were thus assumed to be falling mainly because the conditions in Nigeria are generally getting worse, not better. A contributing reason for the difference of opinions between the countries may be social norms for large families in Nigeria. Few Swedish respondents suggested family planning (1.9% of answers) but this answer was more common in Nigeria (5.9%). In Sweden, women answered contraceptive use (17%) more often than did men (4.5%), while in Nigeria the contraception answer hardly differed between men (6.1%) and women (5.7%). Only minor differences in opinion existed between the southern and northern (Muslim-dominated) states in Nigeria, among educated respondents that participated in this survey. We recommend more, and extended surveys

potential environmental impacts of EU immigration policy: future population numbers, greenhouse gas emissions and biodiversity preservation

This article clarifies the potential environmental impacts of more or less expansive EU immigration policies. First, we project the demographic impacts of different immigration policy scenarios on future population numbers, finding that relatively small annual differences in immigration levels lead to large differences in future population numbers, both nationally and region-wide. Second, we analyze the potential impacts of future population numbers on two key environmental goals: reducing the EU’s greenhouse gas emissions and preserving its biodiversity. We find that in both cases, smaller populations make success in these endeavors more likely – though only in conjunction with comprehensive policy changes which lock in the environmental benefits of smaller populations. Reducing immigration in order to stabilize or reduce populations thus can help EU nations create ecologically sustainable societies, while increasing immigration will tend to move them further away from this goal

Aging human populations: good for us, good for the Earth

As the nations of the world grapple with the task of creating sustainable societies, ending and in some cases reversing population growth will be necessary to succeed. Yet stable or declining populations are typically reported in the media as a problem, or even a crisis, due to demographic aging. This is misguided, as economic analyses show that the costs connected with aging societies are manageable, while the economic, social, and environmental benefits of smaller populations are substantial. Earth's human-carrying capacity has been exceeded; hence, population growth must end and aging societies are unavoidable. They should be embraced as part of a just and prosperous future for people and the other species with whom we share our planet

Weighted integral formulas on manifolds

We present a method of finding weighted Koppelman formulas for $(p,q)$-forms on $n$-dimensional complex manifolds $X$ which admit a vector bundle of rank $n$ over $X \times X$, such that the diagonal of $X \times X$ has a defining section. We apply the method to \Pn and find weighted Koppelman formulas for $(p,q)$-forms with values in a line bundle over \Pn. As an application, we look at the cohomology groups of $(p,q)$-forms over \Pn with values in various line bundles, and find explicit solutions to the \dbar-equation in some of the trivial groups. We also look at cohomology groups of $(0,q)$-forms over \Pn \times \Pm with values in various line bundles. Finally, we apply our method to developing weighted Koppelman formulas on Stein manifolds.Comment: 25 page

Landscape‐mediated variation in diet is associated with egg size and maculation in a generalist forager

Human impacts alter landscapes with consequences for the distribution and availability of high‐quality food resources to populations inhabiting those landscapes, which may impact on the reproductive output of individuals in those populations. Sensitivity of wild populations to changes in food resources may vary among stages of the annual cycle. For example, in birds, effects are likely to be greater during costly stages such as egg production. Here we compare assimilated diet (from stable isotope analysis of chick feathers) and egg traits (egg size, shape, eggshell colour and maculation, using pattern‐analysis software) in Herring Gulls Larus argentatus, across seven colonies in southwest Scotland and Northern Ireland