scholarly journals Real singular Del Pezzo surfaces and 3-folds fibred by rational curves, II

2009 ◽  
Vol 42 (4) ◽  
pp. 531-557
Author(s):  
Fabrizio Catanese ◽  
Frédéric Mangolte
Keyword(s):  
Rational Curves ◽  
Del Pezzo Surfaces ◽  
Del Pezzo

scholarly journals Real singular Del Pezzo surfaces and threefolds fibred by rational curves, I

2008 ◽  
Vol 56 (2) ◽  
pp. 357-373 ◽  
Author(s):  
Fabrizio Catanese ◽  
Frédéric Mangolte
Keyword(s):  
Rational Curves ◽  
Del Pezzo Surfaces ◽  
Del Pezzo

scholarly journals Rational curves on Del Pezzo manifolds

2018 ◽  
Vol 18 (4) ◽  
pp. 451-465
Author(s):  
Adrian Zahariuc
Keyword(s):  
Simple Formula ◽  
Rational Curves ◽  
Del Pezzo Surfaces ◽  
Fano Varieties ◽  
Normal Bundles ◽  
Splitting Type ◽  
Del Pezzo

Abstract We exploit an elementary specialization technique to study rational curves on Fano varieties of index one less than their dimension, known as del Pezzo manifolds. First, we study the splitting type of the normal bundles of the rational curves. Second, we prove a simple formula relating the number of rational curves passing through a suitable number of points in the case of threefolds and the analogous invariants for del Pezzo surfaces.

scholarly journals Cox rings of degree one del Pezzo surfaces

2009 ◽  
Vol 3 (7) ◽  
pp. 729-761 ◽  
Author(s):  
Damiano Testa ◽  
Anthony Várilly-Alvarado ◽  
Mauricio Velasco
Keyword(s):  
Del Pezzo Surfaces ◽  
Cox Rings ◽  
Del Pezzo

scholarly journals Tropicalization of del Pezzo surfaces

2016 ◽  
Vol 300 ◽  
pp. 156-189 ◽  
Author(s):  
Qingchun Ren ◽  
Kristin Shaw ◽  
Bernd Sturmfels
Keyword(s):  
Del Pezzo Surfaces ◽  
Del Pezzo

scholarly journals Manin’s conjecture for quartic Del Pezzo surfaces with a conic fibration

2011 ◽  
Vol 160 (1) ◽  
pp. 1-69 ◽  
Author(s):  
R. De la Bretèche ◽  
T. D. Browning
Keyword(s):  
Del Pezzo Surfaces ◽  
Del Pezzo ◽  
Manin’S Conjecture
Sign in / Sign up

Export Citation Format

Share Document