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In mathematics, a del Pezzo surface or Fano surface is a two-dimensional Fano variety, in other words a non-singular projective algebraic surface with ample anticanonical divisor class. They are in some sense the opposite of surfaces of general type, whose canonical class is big.
They are named for Pasquale del Pezzo who studied the surfaces with the more restrictive condition that they have a very ample anticanonical divisor class, or in his language the surfaces with a degree n embedding in n-dimensional projective space (del Pezzo 1887), which are the del Pezzo surfaces of degree at least 3.
mathematics, a delPezzosurface or Fano surface is a two-dimensional Fano variety, in other words a non-singular projective algebraic surface with ample...
Many properties of cubic surfaces hold more generally for delPezzosurfaces. A central feature of smooth cubic surfaces X over an algebraically closed...
describing what became known as a delPezzosurface. Ciliberto, Ciro; Del Colombo, Emma Sallent (2013). "Pasquale delPezzo, Duke of Caianello, Neapolitan...
of algebraic surfaces, between the positively curved delPezzosurfaces (which are easy to classify) and the negatively curved surfaces of general type...
They are rational surfaces isomorphic to a projective plane blown up in 5 points with no 3 on a line, and are delPezzosurfaces of degree 4, and have...
the Cayley cubic surface, and the Clebsch diagonal surface. delPezzosurfaces (Fano surfaces) Enneper surface Hirzebruch surfaces Σn P1×P1 The product...
in the n=2 subsection of the article on the Fubini-Study metric. delPezzosurface Toric geometry Fake projective plane C. E. Springer (1964) Geometry...
Bertini, Luigi Campedelli, Oscar Chisini, Michele De Franchis, Pasquale delPezzo, Beniamino Segre, Francesco Severi, Guido Zappa (with contributions also...
Sasaki–Einstein metrics on suitable circle bundles over the 3rd through 8th delPezzosurfaces.) While this Riemannian submersion construction provides a correct...
14025. Browning, T. D. (2007). "An overview of Manin's conjecture for delPezzosurfaces". In Duke, William (ed.). Analytic number theory. A tribute to Gauss...
for 2m=4 they are again rational and called delPezzo double planes, and for 2m=6 they are K3 surfaces.) They are simply connected, and have Chern numbers...
a quartic also correspond to pairs of the 56 lines on a degree-2 delPezzosurface, and to the 28 odd theta characteristics. The 27 lines on the cubic...
have also been constructed on all smooth projective toric varieties, delPezzosurfaces, many projective homogeneous varieties, and some other Fano varieties...
a surface with a well-understood divisor class group, and the simplest cases share with DelPezzosurfaces the property of being a rational surface. But...
University of Chicago Scuola Normale Superiore di Pisa Thesis Families of DelPezzoSurfaces (1992) Doctoral advisor János Kollár Fabrizio Catanese Doctoral students...
Volcanology. 47 (2): 175–185. doi:10.1007/bf01961547. S2CID 129177542. DelPezzo, E.; De Natale, G.; Zoloo, A. (1984). "Space-time distribution of small...
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