Matches in SemOpenAlex for { <https://semopenalex.org/work/W1773914103> ?p ?o ?g. }
Showing items 1 to 65 of
65
with 100 items per page.
- W1773914103 abstract "Motivated by an example, due to Voisin, of a smooth simply-connected projective variety with trivial canonical class and cyclic Picard group, admitting a meromorphic endomorphism of high degree, we study meromorphic fibrations on certain varieties with trivial canonical class. We show (theorem 2.1) that any nontrivial meromorphic fibration of a variety with trivial canonical class and cyclic Picard group is in varieties of general type. Therefore, Voisin's endomorphism cannot preserve a fibration, at least in the generic case. As this example is symplectic, we study meromorphic fibrations on symplectic varieties. In dimension 4 (and in all dimensions modulo minimal model program) we get some results similar to Matsushita's. The main result here is theorem 3.6. We also study the relations between meromorphic endomorphisms and meromorphic fibrations. In particular, we prove that if an endomorphism does not preserve a fibration, then its general iterated orbit is Zariski-dense. We show that some power of an endomorphism preserves the core (a natural fibration constructed by the second author), and ask the similar question about the Iitaka fibration." @default.
- W1773914103 created "2016-06-24" @default.
- W1773914103 creator A5021732597 @default.
- W1773914103 creator A5068611166 @default.
- W1773914103 date "2005-10-14" @default.
- W1773914103 modified "2023-10-17" @default.
- W1773914103 title "Fibrations meromorphes sur certaines varietes de classe canonique triviale" @default.
- W1773914103 cites W15783327 @default.
- W1773914103 cites W1592583921 @default.
- W1773914103 cites W164371952 @default.
- W1773914103 cites W18918147 @default.
- W1773914103 cites W1928182059 @default.
- W1773914103 cites W1988110349 @default.
- W1773914103 cites W1995930390 @default.
- W1773914103 cites W2012549154 @default.
- W1773914103 cites W2018964148 @default.
- W1773914103 cites W2021947926 @default.
- W1773914103 cites W2027262987 @default.
- W1773914103 cites W2033323266 @default.
- W1773914103 cites W2070919777 @default.
- W1773914103 cites W2092079204 @default.
- W1773914103 cites W2119552535 @default.
- W1773914103 cites W2126172817 @default.
- W1773914103 cites W2126479355 @default.
- W1773914103 cites W2170757394 @default.
- W1773914103 cites W2318040692 @default.
- W1773914103 cites W2750069912 @default.
- W1773914103 cites W2962797807 @default.
- W1773914103 cites W65958120 @default.
- W1773914103 hasPublicationYear "2005" @default.
- W1773914103 type Work @default.
- W1773914103 sameAs 1773914103 @default.
- W1773914103 citedByCount "6" @default.
- W1773914103 countsByYear W17739141032014 @default.
- W1773914103 countsByYear W17739141032017 @default.
- W1773914103 crossrefType "posted-content" @default.
- W1773914103 hasAuthorship W1773914103A5021732597 @default.
- W1773914103 hasAuthorship W1773914103A5068611166 @default.
- W1773914103 hasConcept C116858840 @default.
- W1773914103 hasConcept C134306372 @default.
- W1773914103 hasConcept C136119220 @default.
- W1773914103 hasConcept C140479938 @default.
- W1773914103 hasConcept C168619227 @default.
- W1773914103 hasConcept C190333341 @default.
- W1773914103 hasConcept C202444582 @default.
- W1773914103 hasConcept C33923547 @default.
- W1773914103 hasConcept C54486226 @default.
- W1773914103 hasConcept C5961521 @default.
- W1773914103 hasConceptScore W1773914103C116858840 @default.
- W1773914103 hasConceptScore W1773914103C134306372 @default.
- W1773914103 hasConceptScore W1773914103C136119220 @default.
- W1773914103 hasConceptScore W1773914103C140479938 @default.
- W1773914103 hasConceptScore W1773914103C168619227 @default.
- W1773914103 hasConceptScore W1773914103C190333341 @default.
- W1773914103 hasConceptScore W1773914103C202444582 @default.
- W1773914103 hasConceptScore W1773914103C33923547 @default.
- W1773914103 hasConceptScore W1773914103C54486226 @default.
- W1773914103 hasConceptScore W1773914103C5961521 @default.
- W1773914103 hasLocation W17739141031 @default.
- W1773914103 hasOpenAccess W1773914103 @default.
- W1773914103 hasPrimaryLocation W17739141031 @default.
- W1773914103 isParatext "false" @default.
- W1773914103 isRetracted "false" @default.
- W1773914103 magId "1773914103" @default.
- W1773914103 workType "article" @default.