We study the combinatorial structure of the poset H consisting of h-vectors of length s of codimension c standard determinantal schemes, defined by the maximal minors of a t × (t + c − 1) homogeneous, polynomial matrix. We show that H obtains a natural stratification, where each strata contains a maximum h-vector. Moreover, we prove that any h-vector in H is bounded from above by a h-vector of the same length and which corresponds to a codimension c level standard determinantal scheme. Furthermore, we show that the only strata in which there exists also a minimum h-vector is the one consisting of h-vectors of level standard determinantal schemes
Let X be a standard determinantal scheme X of P^n of codimension c, i.e. a scheme defined by the max...
Let $Hilb ^{p(t)}(P^n)$ be the Hilbert scheme of closed subschemes of $P^n$ with Hilbert polynomial ...
We generalize Gaeta's theorem to the family of determinantal schemes. In other words, we show that t...
We study the combinatorial structure of the poset H consisting of h-vectors of length s of codimensi...
We study the combinatorial structure of the poset H consisting of h-vectors of length s of codimensi...
In this dissertation we study the h-vector of a standard determinantal scheme $X\subseteq\mathbb{P...
AbstractA scheme X⊂Pn of codimension c is called standard determinantal if its homogeneous saturated...
Given integers a_0 <= a_1 <= ... <= a_{t+c-2} and b_1 <= ... <= b_t, we denote by W(b;a) \subset Hil...
A scheme $X\subset \mathbb{P} ^{n+c}$ of codimension $c$ is called standard determinantal if its hom...
A scheme X in P^n of codimension c is called standard determinantal if its homogeneous saturated ide...
Given integers $ a_0\le a_1\le \cdots \le a_{t+c-2}$ and $ b_1\le \cdots \le b_t$, we denote by $ W(...
Let X be a standard determinantal scheme X of P^n of codimension c, i.e. a scheme defined by the max...
The goal of this paper is to study irreducible families W(b;a) of codimension 4, arithmetically Gore...
Given integers a_0 <= a_1 <= ... <= a_{t+c-2} and b_1 <= ... <= b_t, we denote by W(b;a) \subset Hil...
Given integers $ a_0\le a_1\le \cdots \le a_{t+c-2}$ and $ b_1\le \cdots \le b_t$, we denote by $ W(...
Let X be a standard determinantal scheme X of P^n of codimension c, i.e. a scheme defined by the max...
Let $Hilb ^{p(t)}(P^n)$ be the Hilbert scheme of closed subschemes of $P^n$ with Hilbert polynomial ...
We generalize Gaeta's theorem to the family of determinantal schemes. In other words, we show that t...
We study the combinatorial structure of the poset H consisting of h-vectors of length s of codimensi...
We study the combinatorial structure of the poset H consisting of h-vectors of length s of codimensi...
In this dissertation we study the h-vector of a standard determinantal scheme $X\subseteq\mathbb{P...
AbstractA scheme X⊂Pn of codimension c is called standard determinantal if its homogeneous saturated...
Given integers a_0 <= a_1 <= ... <= a_{t+c-2} and b_1 <= ... <= b_t, we denote by W(b;a) \subset Hil...
A scheme $X\subset \mathbb{P} ^{n+c}$ of codimension $c$ is called standard determinantal if its hom...
A scheme X in P^n of codimension c is called standard determinantal if its homogeneous saturated ide...
Given integers $ a_0\le a_1\le \cdots \le a_{t+c-2}$ and $ b_1\le \cdots \le b_t$, we denote by $ W(...
Let X be a standard determinantal scheme X of P^n of codimension c, i.e. a scheme defined by the max...
The goal of this paper is to study irreducible families W(b;a) of codimension 4, arithmetically Gore...
Given integers a_0 <= a_1 <= ... <= a_{t+c-2} and b_1 <= ... <= b_t, we denote by W(b;a) \subset Hil...
Given integers $ a_0\le a_1\le \cdots \le a_{t+c-2}$ and $ b_1\le \cdots \le b_t$, we denote by $ W(...
Let X be a standard determinantal scheme X of P^n of codimension c, i.e. a scheme defined by the max...
Let $Hilb ^{p(t)}(P^n)$ be the Hilbert scheme of closed subschemes of $P^n$ with Hilbert polynomial ...
We generalize Gaeta's theorem to the family of determinantal schemes. In other words, we show that t...