FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2997173875> ?p ?o ?g. }

• W2997173875 abstract "Let $d geq 2$ and $mgeq 1$ be integers such that $gcd (d,m)=1.$ Let ${mathfrak p}$ be the defining ideal of the monomial curve in ${mathbb A}_{ Bbbk{k}}^d$ parametrized by $(t^{n_1}, ldots, t^{n_d})$ where $n_i = d + (i-1)m$ for all $i = 1, ldots, d$. In this paper, we describe the symbolic powers ${mathfrak p}^{(n)} $ for all $n geq 1$. As a consequence we show that the symbolic blowup algebras ${mathcal R}_s{({mathfrak p})}$ and $G_{s}({mathfrak p}) $ are Cohen-Macaulay. This gives a positive answer to a question posed by S.~Goto in cite{goto}. We also discuss when these blowup algebras are Gorenstein. Moreover, for $d=3$, considering ${mathfrak p}$ as a weighted homogeneous ideal, we compute the resurgence, the Waldschmidt constant and the Castelnuovo-Mumford regularity of ${mathfrak p}^{(n)}$ for all $n geq 1$. The techniques of this paper for computing ${mathfrak p}^{(n)}$ are new and we hope that these will be useful to study the symbolic powers of other prime ideals." @default.
• W2997173875 created "2020-01-10" @default.
• W2997173875 creator A5051736578 @default.
• W2997173875 creator A5061443456 @default.
• W2997173875 date "2016-10-12" @default.
• W2997173875 modified "2023-09-27" @default.
• W2997173875 title "Symbolic Blowup algebras and invariants of certain monomial curves in an affine space" @default.
• W2997173875 cites W1493250959 @default.
• W2997173875 cites W1493411611 @default.
• W2997173875 cites W1523851530 @default.
• W2997173875 cites W1548944036 @default.
• W2997173875 cites W1992577082 @default.
• W2997173875 cites W1999937153 @default.
• W2997173875 cites W2012240668 @default.
• W2997173875 cites W2016617450 @default.
• W2997173875 cites W2025146412 @default.
• W2997173875 cites W2044872762 @default.
• W2997173875 cites W2045714113 @default.
• W2997173875 cites W2052549554 @default.
• W2997173875 cites W2052636077 @default.
• W2997173875 cites W2056216147 @default.
• W2997173875 cites W2066194247 @default.
• W2997173875 cites W2071498413 @default.
• W2997173875 cites W2079011306 @default.
• W2997173875 cites W2084517882 @default.
• W2997173875 cites W2089089454 @default.
• W2997173875 cites W2162709722 @default.
• W2997173875 cites W2485566865 @default.
• W2997173875 cites W2963753721 @default.
• W2997173875 cites W2963760823 @default.
• W2997173875 cites W2963773485 @default.
• W2997173875 cites W3133728983 @default.
• W2997173875 cites W359175058 @default.
• W2997173875 cites W592838380 @default.
• W2997173875 cites W594531022 @default.
• W2997173875 cites W84710282 @default.
• W2997173875 hasPublicationYear "2016" @default.
• W2997173875 type Work @default.
• W2997173875 sameAs 2997173875 @default.
• W2997173875 citedByCount "2" @default.
• W2997173875 countsByYear W29971738752017 @default.
• W2997173875 countsByYear W29971738752020 @default.
• W2997173875 crossrefType "posted-content" @default.
• W2997173875 hasAuthorship W2997173875A5051736578 @default.
• W2997173875 hasAuthorship W2997173875A5061443456 @default.
• W2997173875 hasConcept C111472728 @default.
• W2997173875 hasConcept C111919701 @default.
• W2997173875 hasConcept C11252640 @default.
• W2997173875 hasConcept C114614502 @default.
• W2997173875 hasConcept C118615104 @default.
• W2997173875 hasConcept C134306372 @default.
• W2997173875 hasConcept C136119220 @default.
• W2997173875 hasConcept C138885662 @default.
• W2997173875 hasConcept C184992742 @default.
• W2997173875 hasConcept C202444582 @default.
• W2997173875 hasConcept C2776639384 @default.
• W2997173875 hasConcept C2777789435 @default.
• W2997173875 hasConcept C2778572836 @default.
• W2997173875 hasConcept C33923547 @default.
• W2997173875 hasConcept C41008148 @default.
• W2997173875 hasConcept C66882249 @default.
• W2997173875 hasConcept C90119067 @default.
• W2997173875 hasConcept C92757383 @default.
• W2997173875 hasConcept C9485509 @default.
• W2997173875 hasConceptScore W2997173875C111472728 @default.
• W2997173875 hasConceptScore W2997173875C111919701 @default.
• W2997173875 hasConceptScore W2997173875C11252640 @default.
• W2997173875 hasConceptScore W2997173875C114614502 @default.
• W2997173875 hasConceptScore W2997173875C118615104 @default.
• W2997173875 hasConceptScore W2997173875C134306372 @default.
• W2997173875 hasConceptScore W2997173875C136119220 @default.
• W2997173875 hasConceptScore W2997173875C138885662 @default.
• W2997173875 hasConceptScore W2997173875C184992742 @default.
• W2997173875 hasConceptScore W2997173875C202444582 @default.
• W2997173875 hasConceptScore W2997173875C2776639384 @default.
• W2997173875 hasConceptScore W2997173875C2777789435 @default.
• W2997173875 hasConceptScore W2997173875C2778572836 @default.
• W2997173875 hasConceptScore W2997173875C33923547 @default.
• W2997173875 hasConceptScore W2997173875C41008148 @default.
• W2997173875 hasConceptScore W2997173875C66882249 @default.
• W2997173875 hasConceptScore W2997173875C90119067 @default.
• W2997173875 hasConceptScore W2997173875C92757383 @default.
• W2997173875 hasConceptScore W2997173875C9485509 @default.
• W2997173875 hasLocation W29971738751 @default.
• W2997173875 hasOpenAccess W2997173875 @default.
• W2997173875 hasPrimaryLocation W29971738751 @default.
• W2997173875 hasRelatedWork W1746550213 @default.
• W2997173875 hasRelatedWork W1775117222 @default.
• W2997173875 hasRelatedWork W1775432478 @default.
• W2997173875 hasRelatedWork W1845436979 @default.
• W2997173875 hasRelatedWork W2053808198 @default.
• W2997173875 hasRelatedWork W2419382516 @default.
• W2997173875 hasRelatedWork W2784103174 @default.
• W2997173875 hasRelatedWork W2787633222 @default.
• W2997173875 hasRelatedWork W2888448691 @default.
• W2997173875 hasRelatedWork W2913577373 @default.
• W2997173875 hasRelatedWork W2950206257 @default.
• W2997173875 hasRelatedWork W2951132000 @default.
• W2997173875 hasRelatedWork W2962750423 @default.
• W2997173875 hasRelatedWork W2963841285 @default.

• next