Matches in SemOpenAlex for { <https://semopenalex.org/work/W2580457086> ?p ?o ?g. }
Showing items 1 to 81 of
81
with 100 items per page.
- W2580457086 abstract "Let $X$ be a cubic fourfold in $P^5_{C}$. We prove that, assuming the Hodge conjecture for the product $S times S$, where $S$ is a complex surface, and the finite dimensionality of the Chow $h(S)$, there are at most a countable number of decomposable integral polarized Hodge structures, arising from the fibers of a family of smooth projective surfaces. According to the results in [ABB] this is related to a conjecture proving the irrationality of a very general $X$. If $X$ is special, in the sense of B.Hasset, and $F(X) simeq S^{[2]}$, with $S$ a K3 surface associated to $X$, then we show that the Chow $h(X)$ contains as a direct summand a transcendental motive $t(X)$ such that $t(X)simeq t_2(S)(1)$. The of $X$ is finite dimensional if and only if $S$ has a finite dimensional motive, in which case $t(X)$ is indecomposable. Similarly, if $X$ is very general and the $h(X)$ is finite dimensional, then $t(X)$ is indecomposable" @default.
- W2580457086 created "2017-02-03" @default.
- W2580457086 creator A5058834710 @default.
- W2580457086 date "2017-01-20" @default.
- W2580457086 modified "2023-09-27" @default.
- W2580457086 title "On the rationality and the finite dimensionality of a cubic fourfold" @default.
- W2580457086 cites W1545633177 @default.
- W2580457086 cites W1964793590 @default.
- W2580457086 cites W2111308919 @default.
- W2580457086 cites W2160842158 @default.
- W2580457086 cites W2275806699 @default.
- W2580457086 cites W2523587694 @default.
- W2580457086 cites W3099671500 @default.
- W2580457086 cites W3101026266 @default.
- W2580457086 hasPublicationYear "2017" @default.
- W2580457086 type Work @default.
- W2580457086 sameAs 2580457086 @default.
- W2580457086 citedByCount "6" @default.
- W2580457086 countsByYear W25804570862017 @default.
- W2580457086 countsByYear W25804570862018 @default.
- W2580457086 countsByYear W25804570862019 @default.
- W2580457086 countsByYear W25804570862021 @default.
- W2580457086 crossrefType "posted-content" @default.
- W2580457086 hasAuthorship W2580457086A5058834710 @default.
- W2580457086 hasConcept C105795698 @default.
- W2580457086 hasConcept C110729354 @default.
- W2580457086 hasConcept C111030470 @default.
- W2580457086 hasConcept C114614502 @default.
- W2580457086 hasConcept C134306372 @default.
- W2580457086 hasConcept C157480366 @default.
- W2580457086 hasConcept C162392398 @default.
- W2580457086 hasConcept C188370112 @default.
- W2580457086 hasConcept C194254661 @default.
- W2580457086 hasConcept C202444582 @default.
- W2580457086 hasConcept C2524010 @default.
- W2580457086 hasConcept C2776799497 @default.
- W2580457086 hasConcept C2780990831 @default.
- W2580457086 hasConcept C33923547 @default.
- W2580457086 hasConcept C90673727 @default.
- W2580457086 hasConceptScore W2580457086C105795698 @default.
- W2580457086 hasConceptScore W2580457086C110729354 @default.
- W2580457086 hasConceptScore W2580457086C111030470 @default.
- W2580457086 hasConceptScore W2580457086C114614502 @default.
- W2580457086 hasConceptScore W2580457086C134306372 @default.
- W2580457086 hasConceptScore W2580457086C157480366 @default.
- W2580457086 hasConceptScore W2580457086C162392398 @default.
- W2580457086 hasConceptScore W2580457086C188370112 @default.
- W2580457086 hasConceptScore W2580457086C194254661 @default.
- W2580457086 hasConceptScore W2580457086C202444582 @default.
- W2580457086 hasConceptScore W2580457086C2524010 @default.
- W2580457086 hasConceptScore W2580457086C2776799497 @default.
- W2580457086 hasConceptScore W2580457086C2780990831 @default.
- W2580457086 hasConceptScore W2580457086C33923547 @default.
- W2580457086 hasConceptScore W2580457086C90673727 @default.
- W2580457086 hasLocation W25804570861 @default.
- W2580457086 hasOpenAccess W2580457086 @default.
- W2580457086 hasPrimaryLocation W25804570861 @default.
- W2580457086 hasRelatedWork W1498425772 @default.
- W2580457086 hasRelatedWork W1623953602 @default.
- W2580457086 hasRelatedWork W1823641945 @default.
- W2580457086 hasRelatedWork W1970434573 @default.
- W2580457086 hasRelatedWork W1992015796 @default.
- W2580457086 hasRelatedWork W2028329391 @default.
- W2580457086 hasRelatedWork W2071809374 @default.
- W2580457086 hasRelatedWork W2156821978 @default.
- W2580457086 hasRelatedWork W2188143962 @default.
- W2580457086 hasRelatedWork W2275806699 @default.
- W2580457086 hasRelatedWork W2477225323 @default.
- W2580457086 hasRelatedWork W2795075283 @default.
- W2580457086 hasRelatedWork W2887603852 @default.
- W2580457086 hasRelatedWork W2949507898 @default.
- W2580457086 hasRelatedWork W2953085224 @default.
- W2580457086 hasRelatedWork W3098945746 @default.
- W2580457086 hasRelatedWork W3100896340 @default.
- W2580457086 hasRelatedWork W3207272058 @default.
- W2580457086 hasRelatedWork W625385353 @default.
- W2580457086 hasRelatedWork W3146689847 @default.
- W2580457086 isParatext "false" @default.
- W2580457086 isRetracted "false" @default.
- W2580457086 magId "2580457086" @default.
- W2580457086 workType "article" @default.