114 citations
- Technische Universität BraunschweigDE4 papers
- Stanford UniversityUS2 papers
- Université de MontréalCA2 papers
- University of California San DiegoUS2 papers
- University of CambridgeGB2 papers
- University of GroningenNL2 papers
- Applied Mathematics (United States)US1 paper
- Astronomical Institute of the Slovak Academy of SciencesSK1 paper
- Australian National UniversityAU1 paper
- Cardiff UniversityGB1 paper
- Carleton UniversityCA1 paper
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5 papers · 1 filter
The Gotzmann Coefficients of Hilbert Functions
Jeaman Ahn, Anthony V. Geramita, Yong Su Shin
In this paper we investigate some algebraic and geometric consequences which arise from an extremal bound on the Hilbert function of the general hyperplane section of a variety (Gr…
Extending the idea of compressed algebra to arbitrary socle-vectors, II: cases of non-existence
Fabrizio Zanello
This paper is the continuation of the previous work on generalized compressed algebras (GCA's). First we exhibit a new class of socle-vectors which admit a GCA (whose -vecto…
Extending the idea of compressed algebra to arbitrary socle-vectors
Fabrizio Zanello
Fix a codimension and a socle-vector . Is there an (entry by entry) maximal -vector among the -vectors of all the (standard graded artinian) algebras having data $…
On the linear strand of an edge ideal
Mike Roth, Adam Van Tuyl
Let I(G) be the edge ideal associated to a simple graph G. We study the graded Betti numbers that appear in the linear strand of the minimal free resolution of I(G).
Box-shaped matrices and the defining ideal of certain blowup surfaces
Huy Tai Ha
We study the defining equations of projective embeddings of the blowup of P^2 at a set of {d+1 \choose 2} number of points in generic position. To do this, we first generalize the…