Zobrazeno 1 - 10
of 436
pro vyhledávání: '"Roig, R"'
Publikováno v:
Alg. Number Th. 16 (2022) 155-178
In this note we show that the complete symmetric polynomials are dual generators of compressed artinian Gorenstein algebras satisfying the Strong Lefschetz Property. This is the first example of an explicit dual form with these properties. For comple
Externí odkaz:
http://arxiv.org/abs/2009.13002
We consider the following question: for which invariants $g$ and $e$ is there a geometrically ruled surface $S \rightarrow C$ over a curve $C$ of genus $g$ with invariant $e$ such that $S$ is the support of an Ulrich line bundle with respect to a ver
Externí odkaz:
http://arxiv.org/abs/1904.01498
Autor:
Costa, L., Miró-Roig, R. M.
Let $V$ be a $K$-vector space of dimension $n+1$. In this paper, we focus our attention into the existence of irreducible homogeneous Ulrich bundles on flag manifolds $\FF(p, q,n)$ which parameterizes all chains of linear subspaces $L_{p} \subset L_{
Externí odkaz:
http://arxiv.org/abs/1506.03586
Autor:
Costa, L., Miró-Roig, R. M.
In this paper, we give a full classification of all homogeneous Ulrich bundles on a Grassmannian $\Gr(k,n)$ of $k$-planes on $\PP^n$.
Comment: To appear in Math. Annalen
Comment: To appear in Math. Annalen
Externí odkaz:
http://arxiv.org/abs/1407.2779
Autor:
Hartshorne, R., Miró-Roig, R. M.
Bezout's theorem gives us the degree of intersection of two properly intersecting projective varieties. As two curves in P^3 never intersect properly, Bezout's theorem cannot be directly used to bound the number of intersection points of such curves.
Externí odkaz:
http://arxiv.org/abs/1403.2840
This paper is devoted to the theory of symplectic instanton bundles on an odd dimensional projective space ${\mathbb P}^{2n+1}$ with $n\ge 2$. We study the 't Hooft instanton bundles introduced by Ottaviani and a new family of instanton bundles which
Externí odkaz:
http://arxiv.org/abs/1204.5077
Let X ->Y be a Zariski locally trivial fibration of smooth complex projective varieties, with fiber F. We give a structure theorem for the derived category of X provided both F and Z have a full strongly exceptional collection of line bundles.
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Externí odkaz:
http://arxiv.org/abs/1102.1956
Autor:
Costa, L., Miró-Roig, R. M.
The splitting of the Frobenius direct image of line bundles on toric varieties is used to explicitly construct an orthogonal basis of line bundles in the derived category D^b(X) where X is a Fano toric variety with (almost) maximal Picard number.
Externí odkaz:
http://arxiv.org/abs/1006.5315
Publikováno v:
Memoirs AMS 218 (2012), no. 2024, vii + 78 pp
An order ideal is a finite poset X of (monic) monomials such that, whenever M is in X and N divides M, then N is in X. If all, say t, maximal monomials of X have the same degree, then X is pure (of type t). A pure O-sequence is the vector, h=(1,h_1,.
Externí odkaz:
http://arxiv.org/abs/1003.3825
The derived category of bounded complexes of coherent sheaves is one of the most important algebraic invariants of a smooth projective variety. An important approach to understand derived categories is to construct full strongly exceptional sequences
Externí odkaz:
http://arxiv.org/abs/0908.0846