Matches in SemOpenAlex for { <https://semopenalex.org/work/W4310826024> ?p ?o ?g. }
Showing items 1 to 74 of
74
with 100 items per page.
- W4310826024 abstract "The Kawaguchi-Silverman conjecture relates two different invariants of a surjective endomorphism, the dynamical and arithmetic degrees. As the Kawaguchi-Silverman conjecture is only meaningful when a morphism has a Zariski dense orbit, it has no content for varieties with positive Kodaira dimension. A generalization of the Kawaguchi-Silverman conjecture which is meaningful in positive Kodaira dimension is the so called sAND conjecture, which involves the set of small arithmetic degrees. Kawaguchi and Silverman showed that a small arithmetic degree is the modulus of an eigenvalue of $f^*colon N^1(X)rightarrow N^1(X)$. In this article we investigate which possible eigenvalues arise as an arithmetic degree. We show that surjective endomorphisms of abelian varieties may have eigenvalues which are not arithmetic degrees. Conversely, we show that every eigenvalue of a surjective endomorphism of a toric variety is an arithmetic degree using the minimal model program. Finally, we investigate how the minimal model program may be applied to study this realizability question for varieties that admit an int-amplified endomorphism." @default.
- W4310826024 created "2022-12-18" @default.
- W4310826024 creator A5015958146 @default.
- W4310826024 date "2022-12-04" @default.
- W4310826024 modified "2023-10-10" @default.
- W4310826024 title "On the realizability of arithmetic degrees of morphisms" @default.
- W4310826024 doi "https://doi.org/10.48550/arxiv.2212.01909" @default.
- W4310826024 hasPublicationYear "2022" @default.
- W4310826024 type Work @default.
- W4310826024 citedByCount "0" @default.
- W4310826024 crossrefType "posted-content" @default.
- W4310826024 hasAuthorship W4310826024A5015958146 @default.
- W4310826024 hasBestOaLocation W43108260241 @default.
- W4310826024 hasConcept C11413529 @default.
- W4310826024 hasConcept C116858840 @default.
- W4310826024 hasConcept C118615104 @default.
- W4310826024 hasConcept C119238805 @default.
- W4310826024 hasConcept C121332964 @default.
- W4310826024 hasConcept C134306372 @default.
- W4310826024 hasConcept C136119220 @default.
- W4310826024 hasConcept C136170076 @default.
- W4310826024 hasConcept C137212723 @default.
- W4310826024 hasConcept C158693339 @default.
- W4310826024 hasConcept C177148314 @default.
- W4310826024 hasConcept C195637984 @default.
- W4310826024 hasConcept C200681373 @default.
- W4310826024 hasConcept C202444582 @default.
- W4310826024 hasConcept C24890656 @default.
- W4310826024 hasConcept C2775997480 @default.
- W4310826024 hasConcept C2776378722 @default.
- W4310826024 hasConcept C2780990831 @default.
- W4310826024 hasConcept C33923547 @default.
- W4310826024 hasConcept C62520636 @default.
- W4310826024 hasConcept C81008192 @default.
- W4310826024 hasConcept C94375191 @default.
- W4310826024 hasConceptScore W4310826024C11413529 @default.
- W4310826024 hasConceptScore W4310826024C116858840 @default.
- W4310826024 hasConceptScore W4310826024C118615104 @default.
- W4310826024 hasConceptScore W4310826024C119238805 @default.
- W4310826024 hasConceptScore W4310826024C121332964 @default.
- W4310826024 hasConceptScore W4310826024C134306372 @default.
- W4310826024 hasConceptScore W4310826024C136119220 @default.
- W4310826024 hasConceptScore W4310826024C136170076 @default.
- W4310826024 hasConceptScore W4310826024C137212723 @default.
- W4310826024 hasConceptScore W4310826024C158693339 @default.
- W4310826024 hasConceptScore W4310826024C177148314 @default.
- W4310826024 hasConceptScore W4310826024C195637984 @default.
- W4310826024 hasConceptScore W4310826024C200681373 @default.
- W4310826024 hasConceptScore W4310826024C202444582 @default.
- W4310826024 hasConceptScore W4310826024C24890656 @default.
- W4310826024 hasConceptScore W4310826024C2775997480 @default.
- W4310826024 hasConceptScore W4310826024C2776378722 @default.
- W4310826024 hasConceptScore W4310826024C2780990831 @default.
- W4310826024 hasConceptScore W4310826024C33923547 @default.
- W4310826024 hasConceptScore W4310826024C62520636 @default.
- W4310826024 hasConceptScore W4310826024C81008192 @default.
- W4310826024 hasConceptScore W4310826024C94375191 @default.
- W4310826024 hasLocation W43108260241 @default.
- W4310826024 hasLocation W43108260242 @default.
- W4310826024 hasOpenAccess W4310826024 @default.
- W4310826024 hasPrimaryLocation W43108260241 @default.
- W4310826024 hasRelatedWork W2103244827 @default.
- W4310826024 hasRelatedWork W2119552535 @default.
- W4310826024 hasRelatedWork W2232278409 @default.
- W4310826024 hasRelatedWork W2402288139 @default.
- W4310826024 hasRelatedWork W2921417187 @default.
- W4310826024 hasRelatedWork W2949887602 @default.
- W4310826024 hasRelatedWork W2964357213 @default.
- W4310826024 hasRelatedWork W3101104277 @default.
- W4310826024 hasRelatedWork W4376309379 @default.
- W4310826024 hasRelatedWork W4377832852 @default.
- W4310826024 isParatext "false" @default.
- W4310826024 isRetracted "false" @default.
- W4310826024 workType "article" @default.