# Curves and Their Jacobians by David Mumford

By David Mumford

Lecture 1, what's a curve and the way explicitly will we describe them?--Lecture 2, The moduli house of curves: definition, coordinatization, and a few properties.--Lecture three, How Jacobians and theta services arise.--Lecture four, The Torelli theorem and the Schottky challenge

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Stockholm residents’ energy use per capita in 2000 and in images of 2050 for Care.................................................. Stockholm residents’ energy use in 2000 for Facilities (calculated as a proportion of the national energy use for facilities), TWh..................................................................... Energy for goods transports for Stockholmers tentatively distributed among the six household functions, TWh................ Energy for business travel for people in the Greater Stockholm region, distributed among five of the six household functions (except Support)..................................

Thus they tend to relate to nature in a more distant way. This development can be traced to the very first city-states some 6,000 years M. V. 1 Both geographical and psychological distance grew between urban residents and their life necessities. Even though this has led to delusions about an urban ­liberation from nature, it must still have been clear over a long time that nature set limits for city life as well. For those city livers who farmed the land and kept domestic animals the connection was surely obvious, as it must have been for those who came into contact with the city’s support questions – how edibles, energy raw materials and renewable building materials competed with the scarce access to fruitful land near the city.

Nor is our ambition here to predict the most likely development. Rather we seek to present a frame in which the images of the future are not unlikely and which at the same time holds challenges for the urban adventure in the nearest half-century. 11 In Base the average population growth is assumed to be 22% between 2005 and 2050, while in High it is assumed to be 48%, corresponding to a growth between 450 and 950 thousand inhabitants from year 2005. In this book we use a population increase for Greater Stockholm of 700,000, or 44% for the period 2000–2050.