On the blowup of affine spaces along monomial ideals: Tameness. (July 2019)
- Record Type:
- Journal Article
- Title:
- On the blowup of affine spaces along monomial ideals: Tameness. (July 2019)
- Main Title:
- On the blowup of affine spaces along monomial ideals: Tameness
- Authors:
- Nasrollah Nejad, Abbas
Nikseresht, Ashkan
Yazdan Pour, Ali Akbar
Zaare-Nahandi, Rashid - Abstract:
- Abstract: A tame ideal is an ideal I ⊂ k [ x 1, …, x n ] such that the blowup of the affine space A k n along I is regular. In this paper, we give a combinatorial characterization of tame squarefree monomial ideals. More precisely, we show that a square free monomial ideal is tame if and only if the corresponding clutter is a complete d -partite d -uniform clutter. Equivalently, a squarefree monomial ideal is tame, if and only if the facets of its Stanley–Reisner complex have mutually disjoint complements. Also, we characterize all monomial ideals generated in degree at most 2 which are tame. Finally, we prove that tame squarefree ideals are of fiber type.
- Is Part Of:
- Journal of symbolic computation. Volume 93(2019)
- Journal:
- Journal of symbolic computation
- Issue:
- Volume 93(2019)
- Issue Display:
- Volume 93, Issue 2019 (2019)
- Year:
- 2019
- Volume:
- 93
- Issue:
- 2019
- Issue Sort Value:
- 2019-0093-2019-0000
- Page Start:
- 85
- Page End:
- 99
- Publication Date:
- 2019-07
- Subjects:
- primary 14M25 14E15 13A30 -- secondary 13F55 14B05
Blowup algebra -- Resolution of singularity -- Tame ideal -- Clutter
Mathematics -- Data processing -- Periodicals
Numerical analysis -- Data processing -- Periodicals
Automatic programming (Computer science) -- Periodicals
Mathématiques -- Informatique -- Périodiques
Analyse numérique -- Informatique -- Périodiques
Programmation automatique -- Périodiques
Automatic programming (Computer science)
Mathematics -- Data processing
Numerical analysis -- Data processing
Periodicals
Electronic journals
510.285 - Journal URLs:
- http://www.sciencedirect.com/science/journal/07477171 ↗
http://www.elsevier.com/journals ↗ - DOI:
- 10.1016/j.jsc.2018.04.009 ↗
- Languages:
- English
- ISSNs:
- 0747-7171
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 5067.900000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 9556.xml