In mathematics, Enriques surfaces are algebraic surfaces such that the irregularity q = 0 and the canonical line bundle K is non-trivial but has trivial...

younger brother was zoologist Paolo Enriques who was also the father of Enzo Enriques Agnoletti and Anna Maria Enriques Agnoletti. He became a student of...

In mathematics, the Enriques–Kodaira classification groups compact complex surfaces into ten classes, each parametrized by a moduli space. For most of...

named algebraic surfaces, compact complex surfaces, and families thereof, sorted according to their Kodaira dimension following Enriques–Kodaira classification...

Huybrechts (2016), Theorem 8.4.2. Enriques (1893), section III.6. Enriques (1909); Severi (1909). Aspinwall, Paul (1996), "K3 surfaces and string duality", Fields...

of the 10 or so classes of surface in the Enriques–Kodaira classification of complex surfaces, and were the first surfaces to be investigated. Every non-singular...

Complex projective plane Del Pezzo surface E8 manifold Enriques surface Exotic R4 Hirzebruch surface K3 surface For more examples see 4-manifold. Brieskorn...

K3 surface. Certain K3 surfaces in non-zero characteristic. Supersingular Enriques surface. Certain Enriques surfaces in characteristic 2. A surface is...

the weak definition above is equivalent to the stronger definition. Enriques surfaces give examples of complex manifolds that have Ricci-flat metrics, but...

an elliptic surface (with no singular fibers). All surfaces of Kodaira dimension 1 are elliptic surfaces. Every complex Enriques surface is elliptic,...

Enriques–Kodaira classification List of algebraic surfaces Ruled surface Cubic surface Veronese surface Del Pezzo surface Rational surface Enriques surface...

the theorem of Babbage-Chisini-Enriques (for Dennis Babbage who completed the proof, Oscar Chisini and Federigo Enriques). The terminology is confused...

cubic surfaces, Veronese surface, del Pezzo surfaces, ruled surfaces κ = 0 : K3 surfaces, abelian surfaces, Enriques surfaces, hyperelliptic surfaces κ = 1:...

finite abelian group. Hyperelliptic surfaces form one of the classes of surfaces of Kodaira dimension 0 in the Enriques–Kodaira classification. The Kodaira...

0 to vanish while h0,1 is positive, while Mumford showed that for Enriques surfaces in characteristic 2 it is possible for h0,1 to vanish while h1,0 is...

form on a smooth projective surface that is not closed, and shows that Hodge symmetry fails for classical Enriques surfaces in characteristic two. This...

Kodaira surfaces have the same relation to primary ones that Enriques surfaces have to K3 surfaces, or bielliptic surfaces have to abelian surfaces. Invariants:...

curves of genus g ≥ 2 has dimension 3g − 3. The Enriques–Kodaira classification classifies algebraic surfaces: coarsely by Kodaira dimension, then in more...

after preliminary versions of it were found by Max Noether (1886) and Enriques (1894). The sheaf-theoretic version is due to Hirzebruch. One form of the...

Levi. His wife Elbina Marianna Enriques was the sister of mathematician Federigo Enriques and zoologist Paolo Enriques. After attending a grammar school...

under the supervision of Oscar Zariski, defending a thesis about Enriques surfaces. In the early 1960s, Artin spent time at the IHÉS in France, contributing...

the intersection form being even. This is not true in general: an Enriques surface is a compact smooth 4 manifold and has even intersection form II1,9...

a fibration. Ruled surfaces appear in the Enriques classification of projective complex surfaces, because every algebraic surface of Kodaira dimension...

(elliptic curve); and g > 1 (Riemann surfaces with independent holomorphic differentials). In the case of surfaces, the Enriques classification was into five...

Chapter 2. Eisenhart 2004, p. 110. Stillwell 1996; Bonola, Carslaw & Enriques 1955. Wilson 2008, Chapter 5. Taylor 1996b, p. 107; Berger 1977, pp. 341–343...

example. It also applies to some other varieties, such as Enriques surfaces and some surfaces of general type. A source of examples is Orlov's blowup formula...

algebraic Brauer-Manin obstruction on Chatelet surfaces, degree 4 del Pezzo surfaces, and Enriques surfaces (2010) Doctoral advisor Bjorn Poonen Website...

In April 2019, an Israeli lunar lander, Beresheet, crash landed on the surface of the Moon carrying a copy of nearly all of the English Wikipedia engraved...

shows all automorphism groups of singular cubic surfaces with no parameters. Algebraic surface Enriques–Kodaira classification Fano variety Schubert calculus...

Thomas Fiedler. with Alexander Degtyarev and Ilya Itenberg: Real Enriques Surfaces, Springer Verlag, 2000 Variétés de Fano réelles, d'après C. Viterbo...