scholarly journals Maximal Generating Degrees of Powers of Homogeneous Ideals

2022 ◽  
Author(s):  
Le Tuan Hoa
Keyword(s):  
Homogeneous Ideals

*-Almost Super-Homogeneous Ideals in *-H-Local Domains

2021 ◽  
Author(s):  
Shiqi Xing ◽  
D. D. Anderson ◽  
Muhammad Zafrullah
Keyword(s):  
Homogeneous Ideals

scholarly journals Depth functions of symbolic powers of homogeneous ideals

2019 ◽  
Vol 218 (3) ◽  
pp. 779-827 ◽  
Author(s):  
Hop Dang Nguyen ◽  
Ngo Viet Trung
Keyword(s):  
Depth Functions ◽  
Symbolic Powers ◽  
Homogeneous Ideals

Initial ideals of truncated homogeneous ideals

1998 ◽  
Vol 26 (3) ◽  
pp. 813-824 ◽  
Author(s):  
Jan Snellman
Keyword(s):  
Initial Ideals ◽  
Homogeneous Ideals

scholarly journals A criterion for intersection multiplicity one

1985 ◽  
Vol 100 ◽  
pp. 49-63 ◽  
Author(s):  
Rüdiger Achilles ◽  
Craig Huneke ◽  
Wolfgang Vogel
Keyword(s):  
Closed Field ◽  
Intersection Multiplicity ◽  
Algebraically Closed Field ◽  
Multiplicity One ◽  
Homogeneous Ideals

Let X and Y be any pure dimensional subschemes of Pnk over an algebraically closed field K and let I(X) and I(Y) be the largest homogeneous ideals in K[x0,…, xn] defining X and Y, respectively. By a pure dimensional subscheme X of Pnk we shall always mean a closed pure dimensional subscheme without imbedded components, i.e., all primes belonging to I(X) have the same dimension.

EQUATIONS FOR $\overline M_{0,n}$

2009 ◽  
Vol 20 (09) ◽  
pp. 1159-1184 ◽  
Author(s):  
SEAN KEEL ◽  
JENIA TEVELEV
Keyword(s):  
Symmetric Group ◽  
Canonical Bundle ◽  
Coordinate Ring ◽  
Homogeneous Ideal ◽  
Log Canonical ◽  
Homogeneous Ideals

We show that the log canonical bundle, κ, of [Formula: see text] is very ample, show the homogeneous coordinate ring is Koszul, and give a nice set of rank 4 quadratic generators for the homogeneous ideal: The embedding is equivariant for the symmetric group, and the image lies on many Segre embedded copies of ℙ1 × ⋯ × ℙn-3, permuted by the symmetric group. The homogeneous ideal of [Formula: see text] is the sum of the homogeneous ideals of these Segre embeddings.

scholarly journals The homogeneous ideals of higher secant varieties

2001 ◽  
Vol 158 (2-3) ◽  
pp. 123-129 ◽  
Author(s):  
Michael L. Catalano-Johnson
Keyword(s):  
Secant Varieties ◽  
Homogeneous Ideals
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