Matches in SemOpenAlex for { <https://semopenalex.org/work/W312906850> ?p ?o ?g. }
Showing items 1 to 83 of
83
with 100 items per page.
- W312906850 abstract "In this paper, we shall examine the finite generation of symbolic Rees rings of the defining ideal of the space monomial curves (ta, tb, tc) for pairwise coprime integers a, b, c such that (a, b, c) = (1, 1, 1). If such a ring is not finitely generated over a base field, then it is a counterexample to the Hilbert’s fourteenth problem. The finite generation of such rings is deeply related to the existence of negative curves on certain normal projective surfaces. Herein, we prove that, in the case of (a+ b+ c)2 > abc, a negative curve exists. Using a computer, we shall show that a negative curve exists if all of a, b, c are at most 300 in the case where a base field is of characteristic zero. As a corollary, the symbolic Rees rings of space monomial curves are shown to be finitely generated if a base field is of positive characteristic and all of a, b, c are less than or equal to 300." @default.
- W312906850 created "2016-06-24" @default.
- W312906850 creator A5034742509 @default.
- W312906850 creator A5044851783 @default.
- W312906850 creator A5055630802 @default.
- W312906850 date "2008-01-01" @default.
- W312906850 modified "2023-09-27" @default.
- W312906850 title "On finite generation of symbolic Rees rings of space monomial curves in characteristic positive –existence of negative curves in characteristic zero–" @default.
- W312906850 cites W1590507302 @default.
- W312906850 cites W186383389 @default.
- W312906850 cites W2009823429 @default.
- W312906850 cites W2045714113 @default.
- W312906850 cites W2047768994 @default.
- W312906850 cites W2052532747 @default.
- W312906850 cites W2052549554 @default.
- W312906850 cites W2054228423 @default.
- W312906850 cites W2058017392 @default.
- W312906850 cites W2102265874 @default.
- W312906850 cites W2326857801 @default.
- W312906850 cites W3152384467 @default.
- W312906850 hasPublicationYear "2008" @default.
- W312906850 type Work @default.
- W312906850 sameAs 312906850 @default.
- W312906850 citedByCount "0" @default.
- W312906850 crossrefType "journal-article" @default.
- W312906850 hasAuthorship W312906850A5034742509 @default.
- W312906850 hasAuthorship W312906850A5044851783 @default.
- W312906850 hasAuthorship W312906850A5055630802 @default.
- W312906850 hasConcept C111472728 @default.
- W312906850 hasConcept C11252640 @default.
- W312906850 hasConcept C114614502 @default.
- W312906850 hasConcept C118615104 @default.
- W312906850 hasConcept C134306372 @default.
- W312906850 hasConcept C138885662 @default.
- W312906850 hasConcept C202444582 @default.
- W312906850 hasConcept C2776639384 @default.
- W312906850 hasConcept C2780813799 @default.
- W312906850 hasConcept C33923547 @default.
- W312906850 hasConcept C41895202 @default.
- W312906850 hasConcept C42058472 @default.
- W312906850 hasConcept C77926391 @default.
- W312906850 hasConcept C9652623 @default.
- W312906850 hasConceptScore W312906850C111472728 @default.
- W312906850 hasConceptScore W312906850C11252640 @default.
- W312906850 hasConceptScore W312906850C114614502 @default.
- W312906850 hasConceptScore W312906850C118615104 @default.
- W312906850 hasConceptScore W312906850C134306372 @default.
- W312906850 hasConceptScore W312906850C138885662 @default.
- W312906850 hasConceptScore W312906850C202444582 @default.
- W312906850 hasConceptScore W312906850C2776639384 @default.
- W312906850 hasConceptScore W312906850C2780813799 @default.
- W312906850 hasConceptScore W312906850C33923547 @default.
- W312906850 hasConceptScore W312906850C41895202 @default.
- W312906850 hasConceptScore W312906850C42058472 @default.
- W312906850 hasConceptScore W312906850C77926391 @default.
- W312906850 hasConceptScore W312906850C9652623 @default.
- W312906850 hasLocation W3129068501 @default.
- W312906850 hasOpenAccess W312906850 @default.
- W312906850 hasPrimaryLocation W3129068501 @default.
- W312906850 hasRelatedWork W12332492 @default.
- W312906850 hasRelatedWork W151133084 @default.
- W312906850 hasRelatedWork W1812990345 @default.
- W312906850 hasRelatedWork W1984821303 @default.
- W312906850 hasRelatedWork W2001722474 @default.
- W312906850 hasRelatedWork W2047274178 @default.
- W312906850 hasRelatedWork W2057500645 @default.
- W312906850 hasRelatedWork W2062411851 @default.
- W312906850 hasRelatedWork W2169031737 @default.
- W312906850 hasRelatedWork W2232669682 @default.
- W312906850 hasRelatedWork W2315979080 @default.
- W312906850 hasRelatedWork W2430578992 @default.
- W312906850 hasRelatedWork W2566354837 @default.
- W312906850 hasRelatedWork W2775597703 @default.
- W312906850 hasRelatedWork W2949624367 @default.
- W312906850 hasRelatedWork W2949720582 @default.
- W312906850 hasRelatedWork W2962819503 @default.
- W312906850 hasRelatedWork W2963629518 @default.
- W312906850 hasRelatedWork W3102016131 @default.
- W312906850 hasRelatedWork W3149413523 @default.
- W312906850 isParatext "false" @default.
- W312906850 isRetracted "false" @default.
- W312906850 magId "312906850" @default.
- W312906850 workType "article" @default.