This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such as schemes, morphisms, base change, local properties (normality, regularity, Zariski's Main Theorem). This is followed by the more global aspect: coherent sheaves and a finiteness theorem for their cohomology groups. Then follows a chapter on sheaves of differentials, dualizing sheaves, and grothendieck's duality theory. The first part ends with the theorem of Riemann-Roch and its...

This volume contains the papers selected for presentation at the 9th International Conference on Rough Sets, Fuzzy Sets, Data Mining and Granular Computing (RSFDGrC 2003) held at Chongqing University of Posts and Telecommunications, Chongqing, P.R. China, May 26-29, 2003. There were 245 submissions for RSFDGrC 2003 excluding for 2 invited keynote papers and 11 invited plenary papers. Apart from the 13 invited papers, 114 papers were accepted for RSFDGrC 2003 and were included in this volume. The acceptance rate was only 46.5%. These papers were divided into 39 regular oral presentation papers...

The highly distributed scientific research enabled by 'escience' features complex interactions in its infrastructure and thus needs strong data provenance and management systems. This book explains the latest information tracking and authentication techniques.

This unique volume presents the recent advances in tissue regeneration. The authors are all active researchers in their respective fields with extensive experiences. The focus of the book is on the use of stem cells and nano-structured biomaterials for tissue regeneration/tissue engineering. It includes the use of stem cells, naturally derived extracellular matrix (ECM), synthetic biomimetic nano-fibers, synthetic nano-structured ceramics and synthetic nano-structured polymer/ceramic composites that can help/promote tissue regeneration. Methods on how to produce these nano-structured...

This book covers important aspects of fundamental research in data provenance and data management(DPDM), including provenance representation and querying, as well as practical applications in such domains as clinical trials, bioinformatics and radio astronomy.