Zobrazeno 1 - 10
of 39
pro vyhledávání: '"13C40 (secondary)"'
Autor:
Nambi, Marie Amalore, Kumar, Neeraj
In this paper, we prove the conjectures of Gharakhloo and Welker (2023) that the positive matching decomposition number (pmd) of a $3$-uniform hypergraph is bounded from above by a polynomial of degree $2$ in terms of the number of vertices. Moreover
Externí odkaz:
http://arxiv.org/abs/2309.15424
We discuss the property of (almost) complete intersection of LSS-ideals of graphs of some special forms, like trees, unicyclic, and bicyclic. We also study the regularity of powers of LSS-ideals and make observations related to the Koszul property of
Externí odkaz:
http://arxiv.org/abs/2305.09190
Autor:
Kennard, Lee, Wu, Yantao
A 1976 conjecture of Halperin on positively elliptic spaces was recently confirmed in formal dimensions up to 16. In this article, we shorten the proof and extend the result up to formal dimension 20. We work with Meier's algebraic characterization o
Externí odkaz:
http://arxiv.org/abs/2104.04086
Autor:
Celikbas, Ela, Dufresne, Emilie, Fouli, Louiza, Gorla, Elisa, Lin, Kuei-Nuan, Polini, Claudia, Swanson, Irena
We determine the defining equations of the Rees algebra and of the special fiber ring of the ideal of maximal minors of a $2\times n$ sparse matrix. We prove that their initial algebras are ladder determinantal rings. This allows us to show that the
Externí odkaz:
http://arxiv.org/abs/2101.03222
Autor:
Kleppe, Jan O., Miró-Roig, Rosa M.
Publikováno v:
Mem. Amer. Math. Soc. 286 (2023), no 1418, 1-113
Let $Hilb ^{p(t)}(P^n)$ be the Hilbert scheme of closed subschemes of $P^n$ with Hilbert polynomial $p(t) \in Q[t]$, and let $W:= \overline{W(\underline{b};\underline{a};r)}$ be the closure of the locus in $Hilb ^{p(t)}(P^n)$ of determinantal schemes
Externí odkaz:
http://arxiv.org/abs/2007.12119
Autor:
Hellus, Michael
It is a well-known result that, in projective space over a field, every set-theoretical complete intersection of positive dimension in connected in codimension one (Hartshorne [H1,3.4.6] or [H2, Theorem 1.3]). Another important connectedness result i
Externí odkaz:
http://arxiv.org/abs/1903.00874
While every grade 2 perfect ideal in a regular local ring is linked to a complete intersection ideal, it is known not to be the case for ideals of grade 3. We soften the blow by proving that every grade 3 perfect ideal in a regular local ring is link
Externí odkaz:
http://arxiv.org/abs/1812.11552
Autor:
Sammartano, Alessio
Publikováno v:
Trans. Amer. Math. Soc. 373 (2020), 797-818
We determine the equations of the blowup of $\mathbb{P}^n$ along a $d$-fold rational normal scroll $S$, and we prove that the Rees ring and special fiber ring of $S \subseteq \mathbb{P}^n$ are Koszul algebras.
Comment: To appear on Transactions
Comment: To appear on Transactions
Externí odkaz:
http://arxiv.org/abs/1610.03931
Autor:
Puthenpurakal, Tony J.
Let $(A,\mathfrak{m})$ be a Gorenstein local ring and let $M, N$ be two Cohen-Macaulay \ $A$-modules with $M$ linked to $N$ via a Gorenstein ideal $\mathfrak{q}$. Let $L$ be another finitely generated $A$-module. We show that $Ext^i_A(L,M) = 0 $ for
Externí odkaz:
http://arxiv.org/abs/1512.05105
Star configurations are certain unions of linear subspaces of projective space that have been studied extensively. We develop a framework for studying a substantial generalization, which we call matroid configurations, whose ideals generalize Stanley
Externí odkaz:
http://arxiv.org/abs/1507.00380