Symbolic powers and matroids

M Varbaro - Proceedings of the American Mathematical Society, 2011 - JSTOR
SYMBOLIC POWERS AND MATROIDS Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 139, Number 7, July 2011, Pages 2357-2366 S 0002-9939(2010)10685-8 …

Koszulness, Krull dimension, and other properties of graph-related algebras

A Constantinescu, M Varbaro - Journal of Algebraic Combinatorics, 2011 - Springer
The algebra of basic covers of a graph G, denoted by ̄A(G), was introduced by Herzog as a
suitable quotient of the vertex cover algebra. In this paper we compute the Krull dimension of …

Cohen–Macaulayness and limit behavior of depth for powers of cover ideals

A Constantinescu, MR Pournaki… - Communications in …, 2015 - Taylor & Francis
Let 𝕂 be a field, and let R= 𝕂 [x 1,…, xn] be the polynomial ring over 𝕂 in n indeterminates x
1,…, xn. Let G be a graph with vertex-set {x 1,…, xn}, and let J be the cover ideal of G in R …

Unmixed graphs that are domains

B Benedetti, M Varbaro - Communications in Algebra, 2011 - Taylor & Francis
We extend a theorem of Villareal on bipartite graphs to the class of all graphs. On the way to
this result, we study the basic covers algebra of an arbitrary graph G. We characterize with …

Cohomological and Combinatorial Methods in the Study of Symbolic Powers and Equations defining Varieties

M Varbaro - arXiv preprint arXiv:1105.5507, 2011 - arxiv.org
In this PhD thesis we will discuss some aspects in Commutative Algebra which have
interactions with Algebraic Geometry, Representation Theory and Combinatorics. In …

[PDF][PDF] On the Hilbert series of vertex cover algebras of Cohen-Macaulay bipartite graphs

C Ion - arXiv preprint arXiv:0912.2438, 2009 - arxiv.org
arXiv:0912.2438v1 [math.AC] 13 Dec 2009 Page 1 arXiv:0912.2438v1 [math.AC] 13 Dec 2009
ON THE HILBERT SERIES OF VERTEX COVER ALGEBRAS OF COHEN-MACAULAY …

On the Hilbert function of vertex cover algebras of Cohen-Macaulay bipartite graphs

C Ion - Analele Universității” Dunărea de Jos” din Galați …, 2022 - gup.ugal.ro
[ ]n [ ]n [ ]n Page 1 ANNALS OF “DUNAREA DE JOS” UNIVERSITY OF GALATI – FASCICLE
II █████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████ …

Koszulness of vertex cover algebras of bipartite graphs

G Rinaldo - Communications in Algebra, 2011 - Taylor & Francis
Full article: Koszulness of Vertex Cover Algebras of Bipartite Graphs Skip to Main Content Taylor
and Francis Online homepage Browse Search Publish Login | Register Log in or Register Login …

JOURNAL OF ALGEBRAIC COMBINATORICS

A Constantinescu, M Varbaro - kurims.kyoto-u.ac.jp
The algebra of basic covers of a graph G, denoted by [(A)](G)\bar {A}(G), was introduced by
Herzog as a suitable quotient of the vertex cover algebra. In this paper we compute the Krull …

On the Hilbert series of vertex cover algebras of unmixed bipartite graphs

C Ion - arXiv preprint arXiv:1005.1256, 2010 - arxiv.org
arXiv:1005.1256v1 [math.AC] 7 May 2010 Page 1 arXiv:1005.1256v1 [math.AC] 7 May 2010
ON THE HILBERT SERIES OF VERTEX COVER ALGEBRAS OF UNMIXED BIPARTITE …