𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Monomial localizations and polymatroidal ideals

✍ Scribed by Bandari, Somayeh; Herzog, Jürgen

Book ID
122826389
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
256 KB
Volume
34
Category
Article
ISSN
0195-6698

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Local Cohomology at Monomial Ideals
Local Cohomology at Monomial Ideals
✍ Mircea Mustaţa 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 266 KB

We prove that if B ⊂ R = k[X 1 , . . . , Xn] is a reduced monomial ideal, then d] , R), where B [d] is the dth Frobenius power of B. We give two descriptions for H i B (R) in each multidegree, as simplicial cohomology groups of certain simplicial complexes. As a first consequence, we derive a relati

Monomial Cut Ideals
Monomial Cut Ideals
✍ Olteanu, Anda 📂 Article 📅 2013 🏛 Taylor and Francis Group 🌐 English ⚖ 186 KB
Skeletons of monomial ideals
Skeletons of monomial ideals
✍ Jürgen Herzog; Ali Soleyman Jahan; Xinxian Zheng 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 105 KB

## Abstract In analogy to the skeletons of a simplicial complex and their Stanley–Reisner ideals we introduce the skeletons of an arbitrary monomial ideal __I__ ⊂ __S__ = __K__ [__x__~1~, …, __x~n~__ ]. This allows us to compute the depth of __S__ /__I__ in terms of its skeleton ideals. We apply th

Generic and Cogeneric Monomial Ideals
Generic and Cogeneric Monomial Ideals
✍ Ezra Miller; Bernd Sturmfels; Kohji Yanagawa 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 346 KB

Monomial ideals which are generic with respect to either their generators or irreducible components have minimal free resolutions encoded by simplicial complexes. There are numerous equivalent ways to say that a monomial ideal is generic or cogeneric. For a generic monomial ideal, the associated pri