AbstractFix an integral variety X⊂Pn, P∈Pn, and an integer k>0. Let S(X,P,k) be the set of all subsets S⊂X such that ♯(S)=k, P∈〈S〉 and P∉〈S′〉 for any S′⫋S. Here we study S(X,P,k) (non-emptiness and dimension) in the extremal case k=n−dim(X)+1
AbstractFor a very ample line bundle L on a projective scheme X, let φLℓ:X↪PH0(X,Lℓ), ℓ⩾1, be the em...
AbstractIn this paper we give a detailed analysis of the interaction between homological self-corres...
For a given monic integral polynomial $f(x)$ of degree $n$, we define local roots $r_i$ of $f(x)$ fo...
Abstract Fix an integral variety X ⊂ P n , P ∈ P n , and an integer k > 0. Let S ( X , P , k ) be th...
2000 Mathematics Subject Classification: 14H45, 14H50, 14J26.We construct linearly normal curves cov...
AbstractLet Vn,d⊆PN, for N:=(n+dn)−1, be the order-d Veronese embedding of Pn, Xn,d:=T(Vn,d)⊆PN the ...
AbstractLet X be a projective variety defined over an infinite field, equipped with a line bundle L,...
Let X _ P6 be a smooth irreducible projective threefold, and d its degree. In this paper we prove th...
AbstractOne of the crucial problem about caps is to determine the spectrum of the values of k for wh...
Let $X\subset \mathbb{P}^N$ be an integral and non-degenerate variety. Recall (A. Bialynicki-Birula,...
AbstractA recent proof that the Grassmannian G1,n,2 of lines of PG(n,2) has polynomial degree n2-1 i...
Let X⊂ℙr be an integral and non-degenerate complex variety. For any q∈ℙr let rX(q) be its X-rank and...
We describe all degree n+3 non degenerate surfaces in P^(n+4), n 651, connected in codimension 1, wh...
AbstractIn this article, we prove that there is no projective plane of order 12 admitting a collinea...
AbstractThis paper studies isometric embeddings of RPn via non-degenerate symmetric bilinear maps. T...
AbstractFor a very ample line bundle L on a projective scheme X, let φLℓ:X↪PH0(X,Lℓ), ℓ⩾1, be the em...
AbstractIn this paper we give a detailed analysis of the interaction between homological self-corres...
For a given monic integral polynomial $f(x)$ of degree $n$, we define local roots $r_i$ of $f(x)$ fo...
Abstract Fix an integral variety X ⊂ P n , P ∈ P n , and an integer k > 0. Let S ( X , P , k ) be th...
2000 Mathematics Subject Classification: 14H45, 14H50, 14J26.We construct linearly normal curves cov...
AbstractLet Vn,d⊆PN, for N:=(n+dn)−1, be the order-d Veronese embedding of Pn, Xn,d:=T(Vn,d)⊆PN the ...
AbstractLet X be a projective variety defined over an infinite field, equipped with a line bundle L,...
Let X _ P6 be a smooth irreducible projective threefold, and d its degree. In this paper we prove th...
AbstractOne of the crucial problem about caps is to determine the spectrum of the values of k for wh...
Let $X\subset \mathbb{P}^N$ be an integral and non-degenerate variety. Recall (A. Bialynicki-Birula,...
AbstractA recent proof that the Grassmannian G1,n,2 of lines of PG(n,2) has polynomial degree n2-1 i...
Let X⊂ℙr be an integral and non-degenerate complex variety. For any q∈ℙr let rX(q) be its X-rank and...
We describe all degree n+3 non degenerate surfaces in P^(n+4), n 651, connected in codimension 1, wh...
AbstractIn this article, we prove that there is no projective plane of order 12 admitting a collinea...
AbstractThis paper studies isometric embeddings of RPn via non-degenerate symmetric bilinear maps. T...
AbstractFor a very ample line bundle L on a projective scheme X, let φLℓ:X↪PH0(X,Lℓ), ℓ⩾1, be the em...
AbstractIn this paper we give a detailed analysis of the interaction between homological self-corres...
For a given monic integral polynomial $f(x)$ of degree $n$, we define local roots $r_i$ of $f(x)$ fo...
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