Matches in SemOpenAlex for { <https://semopenalex.org/work/W2964114982> ?p ?o ?g. }
Showing items 1 to 76 of
76
with 100 items per page.
- W2964114982 endingPage "47" @default.
- W2964114982 startingPage "39" @default.
- W2964114982 abstract "In this note, we consider two configurations of twelve lines with nineteen triple points (i.e. points where three lines meet). Both of them have the same arrangemental combinatorial features, which means that in both configurations nine of twelve lines have five triple points and one double point, and the remaining three lines have four triple points and three double points. Taking the ideal of the triple points of these configurations we discover that, quite surprisingly, for one of the configurations the containment $$I^{(3)} subset I^2$$ holds, while for the other it does not. Hence, for ideals of points defined by arrangements of lines, the (non)containment of a symbolic power in an ordinary power is not determined alone by arrangemental combinatorial features of the configuration. Moreover, for the configuration with the non-containment $$I^{(3)} nsubseteq I^2$$ , we examine its parameter space, which turns out to be a rational curve, and thus establish the existence of a rational non-containment configuration of points. Such rational examples are very rare." @default.
- W2964114982 created "2019-07-30" @default.
- W2964114982 creator A5005703551 @default.
- W2964114982 creator A5047661515 @default.
- W2964114982 creator A5067236052 @default.
- W2964114982 creator A5077858431 @default.
- W2964114982 date "2018-09-15" @default.
- W2964114982 modified "2023-10-12" @default.
- W2964114982 title "Containment problem and combinatorics" @default.
- W2964114982 cites W1523851530 @default.
- W2964114982 cites W2003457187 @default.
- W2964114982 cites W2059617551 @default.
- W2964114982 cites W2228789273 @default.
- W2964114982 cites W2244087208 @default.
- W2964114982 cites W2326292499 @default.
- W2964114982 cites W2588659360 @default.
- W2964114982 cites W2962768111 @default.
- W2964114982 cites W2963753721 @default.
- W2964114982 cites W3100761429 @default.
- W2964114982 cites W3103331413 @default.
- W2964114982 cites W3104652958 @default.
- W2964114982 cites W3124615899 @default.
- W2964114982 cites W4235401965 @default.
- W2964114982 doi "https://doi.org/10.1007/s10801-018-0838-y" @default.
- W2964114982 hasPublicationYear "2018" @default.
- W2964114982 type Work @default.
- W2964114982 sameAs 2964114982 @default.
- W2964114982 citedByCount "2" @default.
- W2964114982 countsByYear W29641149822020 @default.
- W2964114982 countsByYear W29641149822022 @default.
- W2964114982 crossrefType "journal-article" @default.
- W2964114982 hasAuthorship W2964114982A5005703551 @default.
- W2964114982 hasAuthorship W2964114982A5047661515 @default.
- W2964114982 hasAuthorship W2964114982A5067236052 @default.
- W2964114982 hasAuthorship W2964114982A5077858431 @default.
- W2964114982 hasBestOaLocation W29641149821 @default.
- W2964114982 hasConcept C112497148 @default.
- W2964114982 hasConcept C114614502 @default.
- W2964114982 hasConcept C118615104 @default.
- W2964114982 hasConcept C199360897 @default.
- W2964114982 hasConcept C2777019822 @default.
- W2964114982 hasConcept C33923547 @default.
- W2964114982 hasConcept C41008148 @default.
- W2964114982 hasConcept C549619432 @default.
- W2964114982 hasConceptScore W2964114982C112497148 @default.
- W2964114982 hasConceptScore W2964114982C114614502 @default.
- W2964114982 hasConceptScore W2964114982C118615104 @default.
- W2964114982 hasConceptScore W2964114982C199360897 @default.
- W2964114982 hasConceptScore W2964114982C2777019822 @default.
- W2964114982 hasConceptScore W2964114982C33923547 @default.
- W2964114982 hasConceptScore W2964114982C41008148 @default.
- W2964114982 hasConceptScore W2964114982C549619432 @default.
- W2964114982 hasFunder F4320322511 @default.
- W2964114982 hasIssue "1" @default.
- W2964114982 hasLocation W29641149821 @default.
- W2964114982 hasLocation W29641149822 @default.
- W2964114982 hasLocation W29641149823 @default.
- W2964114982 hasOpenAccess W2964114982 @default.
- W2964114982 hasPrimaryLocation W29641149821 @default.
- W2964114982 hasRelatedWork W1517804705 @default.
- W2964114982 hasRelatedWork W1555979208 @default.
- W2964114982 hasRelatedWork W1964629713 @default.
- W2964114982 hasRelatedWork W1978042415 @default.
- W2964114982 hasRelatedWork W2017331178 @default.
- W2964114982 hasRelatedWork W2260035625 @default.
- W2964114982 hasRelatedWork W2262634370 @default.
- W2964114982 hasRelatedWork W2964072617 @default.
- W2964114982 hasRelatedWork W2976797620 @default.
- W2964114982 hasRelatedWork W3036008594 @default.
- W2964114982 hasVolume "50" @default.
- W2964114982 isParatext "false" @default.
- W2964114982 isRetracted "false" @default.
- W2964114982 magId "2964114982" @default.
- W2964114982 workType "article" @default.