Semi-Infinite Algebraic Geometry of Quasi-Coherent Sheaves on Ind-Schemes

Released on by Leonid Positselski
preview-18

  • Semi-Infinite Algebraic Geometry of Quasi-Coherent Sheaves on Ind-Schemes Book Detail

  • Author : Leonid Positselski
  • Release Date : 2023-10-16
  • Publisher : Springer Nature
  • Genre : Mathematics
  • Pages : 225
  • ISBN 13 : 3031379055
  • File Size : 43,43 MB
DOWNLOAD BOOK

Semi-Infinite Algebraic Geometry of Quasi-Coherent Sheaves on Ind-Schemes by Leonid Positselski PDF Summary

Book Description: Semi-Infinite Geometry is a theory of "doubly infinite-dimensional" geometric or topological objects. In this book the author explains what should be meant by an algebraic variety of semi-infinite nature. Then he applies the framework of semiderived categories, suggested in his previous monograph titled Homological Algebra of Semimodules and Semicontramodules, (Birkhäuser, 2010), to the study of semi-infinite algebraic varieties. Quasi-coherent torsion sheaves and flat pro-quasi-coherent pro-sheaves on ind-schemes are discussed at length in this book, making it suitable for use as an introduction to the theory of quasi-coherent sheaves on ind-schemes. The main output of the homological theory developed in this monograph is the functor of semitensor product on the semiderived category of quasi-coherent torsion sheaves, endowing the semiderived category with the structure of a tensor triangulated category. The author offers two equivalent constructions of the semitensor product, as well as its particular case, the cotensor product, and shows that they enjoy good invariance properties. Several geometric examples are discussed in detail in the book, including the cotangent bundle to an infinite-dimensional projective space, the universal fibration of quadratic cones, and the important popular example of the loop group of an affine algebraic group.

Disclaimer: www.yourbookbest.com does not own Semi-Infinite Algebraic Geometry of Quasi-Coherent Sheaves on Ind-Schemes books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Fundamental Algebraic Geometry

Fundamental Algebraic Geometry

File Size : 89,89 MB
Total View : 1047 Views
DOWNLOAD

Presents an outline of Alexander Grothendieck's theories. This book discusses four main themes - descent theory, Hilbert and Quot schemes, the formal existence

Coherent Analytic Sheaves

Coherent Analytic Sheaves

File Size : 30,30 MB
Total View : 723 Views
DOWNLOAD

... Je mehr ich tiber die Principien der Functionentheorie nachdenke - und ich thue dies unablassig -, urn so fester wird meine Uberzeugung, dass diese auf dem