The STUDIA UNIVERSITATIS BABE┼×-BOLYAI issue article summary

The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name.

 
       
         
    STUDIA MATHEMATICA - Issue no. 4 / 2007  
         
  Article:   BOOK REVIEWS - J. KOLLAR, LECTURES ON RESOLUTION OF SINGULARITIES, PRINCETON UNIVERSITY PRESS (ANNALS OF MATHEMATICS STUDIES, 166), 2007, PAPERBACK, 208 PAGES.

Authors:  PAUL A. BLAGA.
 
       
         
  Abstract:  Resolution of singularities is one of the most venerable topics in algebraic geometry. We may say that it was, in a way, born before the algebraic geometry, as we know it today, existed. The essence of the theory is easy to explain. If we consider an arbitrary algebraic variety, it usually has singular points and the variety is difficult to study because of these points. It is, however, possible to parameterize any variety by a smooth variety (without singular points) and many properties of the parameterizing variety ar similar to the original one. The process of finding a parameterizing smooth variety of an arbitrary variety is called the resolution of singularities for the given variety.  
         
     
         
         
      Back to previous page