Three-dimensional quartics containing a~plane
    
    
  
  
  
      
      
      
        
Sbornik. Mathematics, Tome 202 (2011) no. 2, pp. 207-241
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			We study Fano threefolds birationally equivalent to a quartic containing a plane. We prove that linear systems that have no maximal singularities at a singular point of the variety can have maximal singularities only along curves of degree one. We construct corresponding birational automorphisms.
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Keywords: 
birational geometry, Fano varieties, method of maximal singularities.
                    
                    
                    
                  
                
                
                @article{SM_2011_202_2_a1,
     author = {M. M. Grinenko},
     title = {Three-dimensional quartics containing a~plane},
     journal = {Sbornik. Mathematics},
     pages = {207--241},
     publisher = {mathdoc},
     volume = {202},
     number = {2},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2011_202_2_a1/}
}
                      
                      
                    M. M. Grinenko. Three-dimensional quartics containing a~plane. Sbornik. Mathematics, Tome 202 (2011) no. 2, pp. 207-241. http://geodesic.mathdoc.fr/item/SM_2011_202_2_a1/
