Matches in SemOpenAlex for { <https://semopenalex.org/work/W1939905638> ?p ?o ?g. }
Showing items 1 to 100 of
100
with 100 items per page.
- W1939905638 abstract "Given a finite endomorphism $varphi$ of a variety $X$ defined over the field of fractions $K$ of a Dedekind domain, we study the extension $K(varphi^{-infty}(alpha)) : = bigcup_{n geq 1} K(varphi^{-n}(alpha))$ generated by the preimages of $alpha$ under all iterates of $varphi$. In particular when $varphi$ is post-critically finite, i.e., there exists a non-empty, Zariski-open $W subseteq X$ such that $varphi^{-1}(W) subseteq W$ and $varphi : W to X$ is etale, we prove that $K(varphi^{-infty}(alpha))$ is ramified over only finitely many primes of $K$. This provides a large supply of infinite extensions with restricted ramification, and generalizes results of Aitken-Hajir-Maire in the case $X = mathbb{A}^1$ and Cullinan-Hajir, Jones-Manes in the case $X = mathbb{P}^1$. Moreover, we conjecture that this finite ramification condition characterizes post-critically finite morphisms, and we give an entirely new result showing this for $X = mathbb{P}^1$. The proof relies on Faltings' theorem and a local argument." @default.
- W1939905638 created "2016-06-24" @default.
- W1939905638 creator A5001570714 @default.
- W1939905638 creator A5010807143 @default.
- W1939905638 creator A5031748876 @default.
- W1939905638 creator A5058156788 @default.
- W1939905638 creator A5073896754 @default.
- W1939905638 creator A5075435317 @default.
- W1939905638 creator A5079663061 @default.
- W1939905638 creator A5083187451 @default.
- W1939905638 date "2015-11-01" @default.
- W1939905638 modified "2023-09-27" @default.
- W1939905638 title "Finite ramification for preimage fields of postcritically finite morphisms" @default.
- W1939905638 cites W1538382078 @default.
- W1939905638 cites W1562839392 @default.
- W1939905638 cites W1677037146 @default.
- W1939905638 cites W1984706147 @default.
- W1939905638 cites W1989153895 @default.
- W1939905638 cites W2016963718 @default.
- W1939905638 cites W2061089230 @default.
- W1939905638 cites W2069869445 @default.
- W1939905638 cites W2082435725 @default.
- W1939905638 cites W2153980857 @default.
- W1939905638 cites W2328675509 @default.
- W1939905638 cites W2964048859 @default.
- W1939905638 cites W587902132 @default.
- W1939905638 hasPublicationYear "2015" @default.
- W1939905638 type Work @default.
- W1939905638 sameAs 1939905638 @default.
- W1939905638 citedByCount "2" @default.
- W1939905638 countsByYear W19399056382016 @default.
- W1939905638 countsByYear W19399056382017 @default.
- W1939905638 crossrefType "posted-content" @default.
- W1939905638 hasAuthorship W1939905638A5001570714 @default.
- W1939905638 hasAuthorship W1939905638A5010807143 @default.
- W1939905638 hasAuthorship W1939905638A5031748876 @default.
- W1939905638 hasAuthorship W1939905638A5058156788 @default.
- W1939905638 hasAuthorship W1939905638A5073896754 @default.
- W1939905638 hasAuthorship W1939905638A5075435317 @default.
- W1939905638 hasAuthorship W1939905638A5079663061 @default.
- W1939905638 hasAuthorship W1939905638A5083187451 @default.
- W1939905638 hasConcept C105795698 @default.
- W1939905638 hasConcept C114614502 @default.
- W1939905638 hasConcept C116858840 @default.
- W1939905638 hasConcept C118615104 @default.
- W1939905638 hasConcept C134306372 @default.
- W1939905638 hasConcept C136197465 @default.
- W1939905638 hasConcept C137212723 @default.
- W1939905638 hasConcept C138885662 @default.
- W1939905638 hasConcept C140479938 @default.
- W1939905638 hasConcept C202444582 @default.
- W1939905638 hasConcept C203701370 @default.
- W1939905638 hasConcept C2780813799 @default.
- W1939905638 hasConcept C2780990831 @default.
- W1939905638 hasConcept C33923547 @default.
- W1939905638 hasConcept C41895202 @default.
- W1939905638 hasConcept C81265862 @default.
- W1939905638 hasConceptScore W1939905638C105795698 @default.
- W1939905638 hasConceptScore W1939905638C114614502 @default.
- W1939905638 hasConceptScore W1939905638C116858840 @default.
- W1939905638 hasConceptScore W1939905638C118615104 @default.
- W1939905638 hasConceptScore W1939905638C134306372 @default.
- W1939905638 hasConceptScore W1939905638C136197465 @default.
- W1939905638 hasConceptScore W1939905638C137212723 @default.
- W1939905638 hasConceptScore W1939905638C138885662 @default.
- W1939905638 hasConceptScore W1939905638C140479938 @default.
- W1939905638 hasConceptScore W1939905638C202444582 @default.
- W1939905638 hasConceptScore W1939905638C203701370 @default.
- W1939905638 hasConceptScore W1939905638C2780813799 @default.
- W1939905638 hasConceptScore W1939905638C2780990831 @default.
- W1939905638 hasConceptScore W1939905638C33923547 @default.
- W1939905638 hasConceptScore W1939905638C41895202 @default.
- W1939905638 hasConceptScore W1939905638C81265862 @default.
- W1939905638 hasLocation W19399056381 @default.
- W1939905638 hasOpenAccess W1939905638 @default.
- W1939905638 hasPrimaryLocation W19399056381 @default.
- W1939905638 hasRelatedWork W1490566753 @default.
- W1939905638 hasRelatedWork W151133084 @default.
- W1939905638 hasRelatedWork W1621867678 @default.
- W1939905638 hasRelatedWork W2008345563 @default.
- W1939905638 hasRelatedWork W2076861297 @default.
- W1939905638 hasRelatedWork W2126255604 @default.
- W1939905638 hasRelatedWork W2129153740 @default.
- W1939905638 hasRelatedWork W2338609622 @default.
- W1939905638 hasRelatedWork W2604663196 @default.
- W1939905638 hasRelatedWork W2886006098 @default.
- W1939905638 hasRelatedWork W2941530373 @default.
- W1939905638 hasRelatedWork W2963309042 @default.
- W1939905638 hasRelatedWork W2985205564 @default.
- W1939905638 hasRelatedWork W3037742570 @default.
- W1939905638 hasRelatedWork W3057868265 @default.
- W1939905638 hasRelatedWork W3086402692 @default.
- W1939905638 hasRelatedWork W3099929817 @default.
- W1939905638 hasRelatedWork W3200727580 @default.
- W1939905638 hasRelatedWork W3208091810 @default.
- W1939905638 hasRelatedWork W3097357771 @default.
- W1939905638 isParatext "false" @default.
- W1939905638 isRetracted "false" @default.
- W1939905638 magId "1939905638" @default.
- W1939905638 workType "article" @default.