Matches in SemOpenAlex for { <https://semopenalex.org/work/W189248002> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W189248002 abstract "AbstractWe prove that every algebraic curve X/Q is birational over C to a Teichmu¨ller curve. keywords: algebraic curve, mapping class group, Teichmuller curve, Veech group¨ .MSC code: 32G15, 37D40. 1 Introduction Write M g,[n] for the moduli space of genus g Riemann surfaces with n (unordered) punctures. A Teichmuller¨curve is a holomorphic curve f : V →M g,[n] such that f generically one-to-one and is a local isometry ofKobayashi metrics. These special immersed curves in M g,[n] have garnered interest for some time (especiallyin the unpunctured case n =0) and are central objects in both Teichmu¨ller and Grothendieck–Teichmu¨llertheory. Additionally, these curves and the Riemann surfaces they parameterize have ties to the dynamicsof polygonal billiards (see for instance [12], [15], [17], and [21]). McMullen proved [18] that every Te-ichmu¨ller curve has a model as an algebraic curve over Q (see also [15] and [21]). The main purpose of thisarticle is to prove the converse.Theorem 1.1. If X/Q is an algebraic curve, then there exists a Teichmuller curve V birational to X¨" @default.
- W189248002 created "2016-06-24" @default.
- W189248002 creator A5071941381 @default.
- W189248002 creator A5086289772 @default.
- W189248002 date "2009-09-10" @default.
- W189248002 modified "2023-09-27" @default.
- W189248002 title "Every curve is a Teichm ¨ uller curve" @default.
- W189248002 cites W1496711271 @default.
- W189248002 cites W1498555331 @default.
- W189248002 cites W1528521152 @default.
- W189248002 cites W1585092387 @default.
- W189248002 cites W1766595441 @default.
- W189248002 cites W1984614267 @default.
- W189248002 cites W2021671567 @default.
- W189248002 cites W2052579244 @default.
- W189248002 cites W2054004793 @default.
- W189248002 cites W2073476072 @default.
- W189248002 cites W2076543581 @default.
- W189248002 cites W2084867702 @default.
- W189248002 cites W2085772715 @default.
- W189248002 cites W2138343699 @default.
- W189248002 cites W2159329216 @default.
- W189248002 cites W2164154881 @default.
- W189248002 cites W353900576 @default.
- W189248002 hasPublicationYear "2009" @default.
- W189248002 type Work @default.
- W189248002 sameAs 189248002 @default.
- W189248002 citedByCount "3" @default.
- W189248002 crossrefType "posted-content" @default.
- W189248002 hasAuthorship W189248002A5071941381 @default.
- W189248002 hasAuthorship W189248002A5086289772 @default.
- W189248002 hasConcept C134306372 @default.
- W189248002 hasConcept C157369684 @default.
- W189248002 hasConcept C184363387 @default.
- W189248002 hasConcept C18556879 @default.
- W189248002 hasConcept C196278274 @default.
- W189248002 hasConcept C202444582 @default.
- W189248002 hasConcept C204575570 @default.
- W189248002 hasConcept C207043602 @default.
- W189248002 hasConcept C2524010 @default.
- W189248002 hasConcept C2776799497 @default.
- W189248002 hasConcept C2776809875 @default.
- W189248002 hasConcept C33923547 @default.
- W189248002 hasConcept C59822182 @default.
- W189248002 hasConcept C69653121 @default.
- W189248002 hasConcept C73373263 @default.
- W189248002 hasConcept C86803240 @default.
- W189248002 hasConcept C9376300 @default.
- W189248002 hasConceptScore W189248002C134306372 @default.
- W189248002 hasConceptScore W189248002C157369684 @default.
- W189248002 hasConceptScore W189248002C184363387 @default.
- W189248002 hasConceptScore W189248002C18556879 @default.
- W189248002 hasConceptScore W189248002C196278274 @default.
- W189248002 hasConceptScore W189248002C202444582 @default.
- W189248002 hasConceptScore W189248002C204575570 @default.
- W189248002 hasConceptScore W189248002C207043602 @default.
- W189248002 hasConceptScore W189248002C2524010 @default.
- W189248002 hasConceptScore W189248002C2776799497 @default.
- W189248002 hasConceptScore W189248002C2776809875 @default.
- W189248002 hasConceptScore W189248002C33923547 @default.
- W189248002 hasConceptScore W189248002C59822182 @default.
- W189248002 hasConceptScore W189248002C69653121 @default.
- W189248002 hasConceptScore W189248002C73373263 @default.
- W189248002 hasConceptScore W189248002C86803240 @default.
- W189248002 hasConceptScore W189248002C9376300 @default.
- W189248002 hasLocation W1892480021 @default.
- W189248002 hasOpenAccess W189248002 @default.
- W189248002 hasPrimaryLocation W1892480021 @default.
- W189248002 hasRelatedWork W1937438699 @default.
- W189248002 hasRelatedWork W1966290027 @default.
- W189248002 hasRelatedWork W1975487707 @default.
- W189248002 hasRelatedWork W1979872255 @default.
- W189248002 hasRelatedWork W2070385985 @default.
- W189248002 hasRelatedWork W2145311310 @default.
- W189248002 hasRelatedWork W2326306575 @default.
- W189248002 hasRelatedWork W2396477615 @default.
- W189248002 hasRelatedWork W2527992653 @default.
- W189248002 hasRelatedWork W2946072229 @default.
- W189248002 hasRelatedWork W2949891177 @default.
- W189248002 hasRelatedWork W2950288642 @default.
- W189248002 hasRelatedWork W2953163908 @default.
- W189248002 hasRelatedWork W2963836535 @default.
- W189248002 hasRelatedWork W2964149187 @default.
- W189248002 hasRelatedWork W2991345748 @default.
- W189248002 hasRelatedWork W3143139522 @default.
- W189248002 hasRelatedWork W3149186307 @default.
- W189248002 hasRelatedWork W3159533351 @default.
- W189248002 hasRelatedWork W950944387 @default.
- W189248002 isParatext "false" @default.
- W189248002 isRetracted "false" @default.
- W189248002 magId "189248002" @default.
- W189248002 workType "article" @default.