Matches in SemOpenAlex for { <https://semopenalex.org/work/W1964723912> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W1964723912 endingPage "678" @default.
- W1964723912 startingPage "659" @default.
- W1964723912 abstract "We study monomial ideals, always locally given by a monomial, like a reasonable first step to estimate in general the number of monoidal transformations of Villamayor's algorithm of resolution of singularities. The resolution of a monomial ideal [Formula: see text] is interesting due to its identification with the particular toric problem [Formula: see text]. In the special case, when all the exponents a i are greater than or equal to the critical value c, we construct the largest branch of the resolution tree which provides an upper bound involving partial sums of Catalan numbers. This case will be called minimal codimensional case. Partial sums of Catalan numbers (starting 1,2,5,…) are 1,3,8,22,…. These partial sums are well known in Combinatorics and count the number of paths starting from the root in all ordered trees with n + 1 edges. Catalan numbers appear in many combinatorial problems, counting the number of ways to insert n pairs of parenthesis in a word of n + 1 letters, plane trees with n + 1 vertices,…, etc. The non-minimal case, when there exists some exponent a i 0 smaller than c, will be called case of higher codimension. In this case, still unresolved, we give an example to state the foremost troubles. Computation of examples has been helpful in both cases to study the behavior of the resolution invariant. Computations have been made in Singular (see [8]) using the desing package by Bodnár and Schicho, see [4]." @default.
- W1964723912 created "2016-06-24" @default.
- W1964723912 creator A5008923532 @default.
- W1964723912 date "2009-06-01" @default.
- W1964723912 modified "2023-10-14" @default.
- W1964723912 title "COMPLEXITY OF VILLAMAYOR'S ALGORITHM IN THE NON-EXCEPTIONAL MONOMIAL CASE" @default.
- W1964723912 cites W1551177513 @default.
- W1964723912 cites W1653612104 @default.
- W1964723912 cites W1831005296 @default.
- W1964723912 cites W1965010884 @default.
- W1964723912 cites W1968936725 @default.
- W1964723912 cites W1974849843 @default.
- W1964723912 cites W1987006424 @default.
- W1964723912 cites W2059064838 @default.
- W1964723912 doi "https://doi.org/10.1142/s0129167x09005480" @default.
- W1964723912 hasPublicationYear "2009" @default.
- W1964723912 type Work @default.
- W1964723912 sameAs 1964723912 @default.
- W1964723912 citedByCount "9" @default.
- W1964723912 countsByYear W19647239122013 @default.
- W1964723912 countsByYear W19647239122020 @default.
- W1964723912 crossrefType "journal-article" @default.
- W1964723912 hasAuthorship W1964723912A5008923532 @default.
- W1964723912 hasBestOaLocation W19647239122 @default.
- W1964723912 hasConcept C11252640 @default.
- W1964723912 hasConcept C114614502 @default.
- W1964723912 hasConcept C118615104 @default.
- W1964723912 hasConcept C134306372 @default.
- W1964723912 hasConcept C138885662 @default.
- W1964723912 hasConcept C202444582 @default.
- W1964723912 hasConcept C2777789435 @default.
- W1964723912 hasConcept C2780388253 @default.
- W1964723912 hasConcept C33923547 @default.
- W1964723912 hasConcept C41895202 @default.
- W1964723912 hasConcept C43929256 @default.
- W1964723912 hasConcept C77553402 @default.
- W1964723912 hasConcept C83979697 @default.
- W1964723912 hasConcept C90119067 @default.
- W1964723912 hasConcept C9485509 @default.
- W1964723912 hasConceptScore W1964723912C11252640 @default.
- W1964723912 hasConceptScore W1964723912C114614502 @default.
- W1964723912 hasConceptScore W1964723912C118615104 @default.
- W1964723912 hasConceptScore W1964723912C134306372 @default.
- W1964723912 hasConceptScore W1964723912C138885662 @default.
- W1964723912 hasConceptScore W1964723912C202444582 @default.
- W1964723912 hasConceptScore W1964723912C2777789435 @default.
- W1964723912 hasConceptScore W1964723912C2780388253 @default.
- W1964723912 hasConceptScore W1964723912C33923547 @default.
- W1964723912 hasConceptScore W1964723912C41895202 @default.
- W1964723912 hasConceptScore W1964723912C43929256 @default.
- W1964723912 hasConceptScore W1964723912C77553402 @default.
- W1964723912 hasConceptScore W1964723912C83979697 @default.
- W1964723912 hasConceptScore W1964723912C90119067 @default.
- W1964723912 hasConceptScore W1964723912C9485509 @default.
- W1964723912 hasIssue "06" @default.
- W1964723912 hasLocation W19647239121 @default.
- W1964723912 hasLocation W19647239122 @default.
- W1964723912 hasLocation W19647239123 @default.
- W1964723912 hasOpenAccess W1964723912 @default.
- W1964723912 hasPrimaryLocation W19647239121 @default.
- W1964723912 hasRelatedWork W1615791384 @default.
- W1964723912 hasRelatedWork W1964723912 @default.
- W1964723912 hasRelatedWork W1972315136 @default.
- W1964723912 hasRelatedWork W1977013452 @default.
- W1964723912 hasRelatedWork W2950432022 @default.
- W1964723912 hasRelatedWork W2962702699 @default.
- W1964723912 hasRelatedWork W2978751191 @default.
- W1964723912 hasRelatedWork W2979641217 @default.
- W1964723912 hasRelatedWork W4288093578 @default.
- W1964723912 hasRelatedWork W61631898 @default.
- W1964723912 hasVolume "20" @default.
- W1964723912 isParatext "false" @default.
- W1964723912 isRetracted "false" @default.
- W1964723912 magId "1964723912" @default.
- W1964723912 workType "article" @default.