scholarly journals Singularities and radical initial ideals

2020 ◽  
Vol 52 (4) ◽  
pp. 674-686 ◽  
Author(s):  
Alexandru Constantinescu ◽  
Emanuela De Negri ◽  
Matteo Varbaro
Keyword(s):  
Initial Ideals

scholarly journals Initial ideals of Pfaffian ideals

2020 ◽  
Vol 12 (1) ◽  
pp. 91-105
Author(s):  
Colby Long
Keyword(s):  
Initial Ideals

scholarly journals Face Numbers and Nongeneric Initial Ideals

10.37236/1882 ◽  
2006 ◽  
Vol 11 (2) ◽  
Author(s):  
Eric Babson ◽  
Isabella Novik
Keyword(s):  
Cyclic Group ◽  
Simple Proof ◽  
Prime Order ◽  
Necessary Conditions ◽  
Betti Numbers ◽  
Proper Action ◽  
Initial Ideals ◽  
The Face ◽  
Algebraic Shifting

Certain necessary conditions on the face numbers and Betti numbers of simplicial complexes endowed with a proper action of a prime order cyclic group are established. A notion of colored algebraic shifting is defined and its properties are studied. As an application a new simple proof of the characterization of the flag face numbers of balanced Cohen-Macaulay complexes originally due to Stanley (necessity) and Björner, Frankl, and Stanley (sufficiency) is given. The necessity portion of their result is generalized to certain conditions on the face numbers and Betti numbers of balanced Buchsbaum complexes.

scholarly journals Smoothable Gorenstein Points Via Marked Schemes and Double-generic Initial Ideals

2019 ◽  
pp. 1-18 ◽  
Author(s):  
Cristina Bertone ◽  
Francesca Cioffi ◽  
Margherita Roggero
Keyword(s):  
Initial Ideals ◽  
Generic Initial Ideals

scholarly journals Castelnuovo–Mumford regularity of initial ideals

2004 ◽  
Vol 38 (5) ◽  
pp. 1327-1341 ◽  
Author(s):  
Lê Tuân Hoa ◽  
Eero Hyry
Keyword(s):  
Initial Ideals
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