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Record Nr. |
UNINA9910988386403321 |
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Autore |
Dolgachev Igor |
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Titolo |
Enriques Surfaces II / / by Igor Dolgachev, Shigeyuki Kondō |
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Pubbl/distr/stampa |
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Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2025 |
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ISBN |
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Edizione |
[1st ed. 2025.] |
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Descrizione fisica |
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1 online resource (496 pages) |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Algebraic geometry |
Algebra |
Functions of complex variables |
Algebraic Geometry |
Several Complex Variables and Analytic Spaces |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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6 Nodal Enriques Surfaces -- 7 Reye Congruences -- 8 Automorphisms of Enriques Surfaces -- 9 Rational Coble Surfaces -- 10 Supersingular K3 Surfaces and Enriques Surfaces. |
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Sommario/riassunto |
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This book, consisting of two volumes, gives a contemporary account of the study of the class of projective algebraic surfaces known as Enriques surfaces. These surfaces were discovered more than 125 years by F. Enriques in an attempt to extend the characterization of rational algebraic curves to the case of algebraic surfaces. The novel feature of the present exposition is that no assumption on the characteristic of the ground field is assumed. This requirement calls for exploring the geometry of such surfaces by purely geometric and arithmetic methods that do not rely on transcendental methods such as the theory of periods of algebraic surfaces of type K3, which are close relatives of Enriques surfaces. Some of the methods use many technical tools from algebraic geometry that are discussed in Volume 1 and will be a useful source of reference for the study of algebraic surfaces over fields of positive characteristic. Volume 1 also contains a detailed exposition of the theory of elliptic surfaces over fields of arbitrary characteristic. The second volume discusses many new topics — for example, the theory |
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of automorphisms of Enriques surfaces and the relationships with hyperbolic geometry. Together, the two volumes contain many examples and an extensive bibliography made up of more than 700 items. |
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