Table of contents

Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.

" America is in the midst of a sports building boom. Professional sports teams are demanding and receiving fancy new playing facilities that are heavily subsidized by government. In many cases, the rationale given for these subsidies is that attracting or retaining a professional sports franchise--even a minor league baseball team or a major league pre-season training facility--more than pays for itself in increased tax revenues, local economic development, and job creation. But are these claims true? To assess the case for subsidies, this book examines the economic impact of new stadiums and the presence of a sports franchise on the local economy. It first explores such general issues as the appropriate method for measuring economic benefits and costs, the source of the bargaining power of teams in obtaining subsidies from local government, the local politics of attracting and retaining teams, the relationship between sports and local employment, and the importance of stadium design in influencing the economic impact of a facility. The second part of the book contains case studies of major league sports facilities in Baltimore, Chicago, Cincinnati, Cleveland, Indianapolis, San Francisco, and the Twin Cities, and of minor league stadiums and spring training facilities in baseball. The primary conclusions are: first, sports teams and facilities are not a source of local economic growth and employment; second, the magnitude of the net subsidy exceeds the financial benefit of a new stadium to a team; and, third, the most plausible reasons that cities are willing to subsidize sports teams are the intense popularity of sports among a substantial proportion of voters and businesses and the leverage that teams enjoy from the monopoly position of professional sports leagues. "

"In this analysis, Sexton pursues a critique of contemporary multiracialism, from the splintered political initiatives of the multiracial movement to the academic field of multiracial studies, to the melodramatic media declarations about "the browning of America." He contests the rationales of colorblindness and multiracial exceptionalism and the promotion of a repackaged family values platform in order to demonstrate that the true target of multiracialism is the singularity of blackness as a social identity, a political organizing principle, and an object of desire. From this vantage, Sexton interrogates the trivialization of sexual violence under chattel slavery and the convoluted relationship between racial and sexual politics in the new multiracial consciousness."--BOOK JACKET.

We restrict ourselves to two aspects of the field of group schemes, in which the results are fairly complete: commutative algebraic group schemes over an algebraically closed field (of characteristic different from zero), and a duality theory concern ing abelian schemes over a locally noetherian prescheme. The prelim inaries for these considerations are brought together in chapter I. SERRE described properties of the category of commutative quasi-algebraic groups by introducing pro-algebraic groups. In char8teristic zero the situation is clear. In characteristic different from zero information on finite group schemee is needed in order to handle group schemes; this information can be found in work of GABRIEL. In the second chapter these ideas of SERRE and GABRIEL are put together. Also extension groups of elementary group schemes are determined. A suggestion in a paper by MANIN gave crystallization to a fee11ng of symmetry concerning subgroups of abelian varieties. In the third chapter we prove that the dual of an abelian scheme and the linear dual of a finite subgroup scheme are related in a very natural way. Afterwards we became aware that a special case of this theorem was already known by CARTIER and BARSOTTI. Applications of this duality theorem are: the classical duality theorem ("duality hy pothesis", proved by CARTIER and by NISHI); calculation of Ext(~a,A), where A is an abelian variety (result conjectured by SERRE); a proof of the symmetry condition (due to MANIN) concerning the isogeny type of a formal group attached to an abelian variety.

This account of deformation theory in classical algebraic geometry over an algebraically closed field presents for the first time some results previously scattered in the literature, with proofs that are relatively little known, yet relevant to algebraic geometers. Many examples are provided. Most of the algebraic results needed are proved. The style of exposition is kept at a level amenable to graduate students with an average background in algebraic geometry.