Matches in SemOpenAlex for { <https://semopenalex.org/work/W2965497593> ?p ?o ?g. }
Showing items 1 to 73 of
73
with 100 items per page.
- W2965497593 abstract "Let $A = K[X_1,ldots, X_d]$ and let $I$, $J$ be monomial ideals in $A$. Let $I_n(J) = (I^n colon J^infty)$ be the $n^{th}$ symbolic power of $I$ wrt $J$. It is easy to see that the function $f^I_J(n) = e_0(I_n(J)/I^n)$ is of quasi-polynomial type, say of period $g$ and degree $c$. For $n gg 0$ say [ f^I_J(n) = a_c(n)n^c + a_{c-1}(n)n^{c-1} + text{lower terms}, ] where for $i = 0, ldots, c$, $a_i colon mathbb{N} rt mathbb{Z}$ are periodic functions of period $g$ and $a_c neq 0$. In an earlier paper we (together with Herzog and Verma) proved that $dim I_n(J)/I^n$ is constant for $n gg 0$ and $a_c(-)$ is a constant. In this paper we prove that if $I$ is generated by some elements of the same degree and height $I geq 2$ then $a_{c-1}(-)$ is also a constant." @default.
- W2965497593 created "2019-08-13" @default.
- W2965497593 creator A5049108479 @default.
- W2965497593 date "2019-08-06" @default.
- W2965497593 modified "2023-09-27" @default.
- W2965497593 title "Symbolic powers of monomial ideals" @default.
- W2965497593 cites W1595605524 @default.
- W2965497593 cites W3099634593 @default.
- W2965497593 hasPublicationYear "2019" @default.
- W2965497593 type Work @default.
- W2965497593 sameAs 2965497593 @default.
- W2965497593 citedByCount "0" @default.
- W2965497593 crossrefType "posted-content" @default.
- W2965497593 hasAuthorship W2965497593A5049108479 @default.
- W2965497593 hasConcept C11252640 @default.
- W2965497593 hasConcept C114614502 @default.
- W2965497593 hasConcept C121332964 @default.
- W2965497593 hasConcept C134306372 @default.
- W2965497593 hasConcept C14036430 @default.
- W2965497593 hasConcept C18903297 @default.
- W2965497593 hasConcept C199360897 @default.
- W2965497593 hasConcept C24890656 @default.
- W2965497593 hasConcept C2775997480 @default.
- W2965497593 hasConcept C2777027219 @default.
- W2965497593 hasConcept C2777299769 @default.
- W2965497593 hasConcept C33923547 @default.
- W2965497593 hasConcept C41008148 @default.
- W2965497593 hasConcept C78458016 @default.
- W2965497593 hasConcept C86803240 @default.
- W2965497593 hasConcept C90119067 @default.
- W2965497593 hasConceptScore W2965497593C11252640 @default.
- W2965497593 hasConceptScore W2965497593C114614502 @default.
- W2965497593 hasConceptScore W2965497593C121332964 @default.
- W2965497593 hasConceptScore W2965497593C134306372 @default.
- W2965497593 hasConceptScore W2965497593C14036430 @default.
- W2965497593 hasConceptScore W2965497593C18903297 @default.
- W2965497593 hasConceptScore W2965497593C199360897 @default.
- W2965497593 hasConceptScore W2965497593C24890656 @default.
- W2965497593 hasConceptScore W2965497593C2775997480 @default.
- W2965497593 hasConceptScore W2965497593C2777027219 @default.
- W2965497593 hasConceptScore W2965497593C2777299769 @default.
- W2965497593 hasConceptScore W2965497593C33923547 @default.
- W2965497593 hasConceptScore W2965497593C41008148 @default.
- W2965497593 hasConceptScore W2965497593C78458016 @default.
- W2965497593 hasConceptScore W2965497593C86803240 @default.
- W2965497593 hasConceptScore W2965497593C90119067 @default.
- W2965497593 hasLocation W29654975931 @default.
- W2965497593 hasOpenAccess W2965497593 @default.
- W2965497593 hasPrimaryLocation W29654975931 @default.
- W2965497593 hasRelatedWork W1966850448 @default.
- W2965497593 hasRelatedWork W1988725641 @default.
- W2965497593 hasRelatedWork W1989606834 @default.
- W2965497593 hasRelatedWork W2049731779 @default.
- W2965497593 hasRelatedWork W2062868715 @default.
- W2965497593 hasRelatedWork W2159690282 @default.
- W2965497593 hasRelatedWork W2393843578 @default.
- W2965497593 hasRelatedWork W2516972250 @default.
- W2965497593 hasRelatedWork W2564834207 @default.
- W2965497593 hasRelatedWork W2783952778 @default.
- W2965497593 hasRelatedWork W2950667627 @default.
- W2965497593 hasRelatedWork W2953049856 @default.
- W2965497593 hasRelatedWork W2964074261 @default.
- W2965497593 hasRelatedWork W3012573083 @default.
- W2965497593 hasRelatedWork W3020167392 @default.
- W2965497593 hasRelatedWork W3073717275 @default.
- W2965497593 hasRelatedWork W3098041435 @default.
- W2965497593 hasRelatedWork W3214197174 @default.
- W2965497593 hasRelatedWork W39887928 @default.
- W2965497593 hasRelatedWork W588556429 @default.
- W2965497593 isParatext "false" @default.
- W2965497593 isRetracted "false" @default.
- W2965497593 magId "2965497593" @default.
- W2965497593 workType "article" @default.