Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 9

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

Vector bundles on Hirzebruch surfaces whose twists by a non-ample line bundle have natural cohomology

100%
Ballico E., Malaspina F.
Open Mathematics
|
2008
|
tom 6
|
nr 1
143-148
EN
Here we study vector bundles E on the Hirzebruch surface F e such that their twists by a spanned, but not ample, line bundle M = $$ \mathcal{O} $$ Fe(h + ef) have natural cohomology, i.e. h 0(F e, E(tM)) > 0 implies h 1(F e, E(tM)) = 0.
2
Content available remote

Instanton bundles on Fano threefolds

81%
Kuznetsov A.
Open Mathematics
|
2012
|
tom 10
|
nr 4
1198-1231
EN
We introduce the notion of an instanton bundle on a Fano threefold of index 2. For such bundles we give an analogue of a monadic description and discuss the curve of jumping lines. The cases of threefolds of degree 5 and 4 are considered in a greater detail.
3
Content available remote

The role of the Ellingsrud-Strømme construction in the classification of instantons

81%
Gruson L., Han F.
Open Mathematics
|
2012
|
tom 10
|
nr 4
1188-1197
EN
We review a construction of Ellingsrud-Strømme relating instantons of charge n on the ordinary projective space and theta-characteristics on a plane curve of degree n with some extra-structure.
4
Content available remote

Vector bundles of finite rank on complete intersections of finite codimension in ind-Grassmannians

62%
Ermakova S.
Complex Manifolds
|
2015
|
tom 2
|
nr 1
EN
In this article we establish an analogue of the Barth-Van de Ven-Tyurin-Sato theorem.We prove that a finite rank vector bundle on a complete intersection of finite codimension in a linear ind-Grassmannian is isomorphic to a direct sum of line bundles.
5
Content available remote

Bubble tree compactification of moduli spaces of vector bundles on surfaces

62%
Markushevich D., Tikhomirov A., Trautmann G.
Open Mathematics
|
2012
|
tom 10
|
nr 4
1331-1355
EN
We announce some results on compactifying moduli spaces of rank 2 vector bundles on surfaces by spaces of vector bundles on trees of surfaces. This is thought as an algebraic counterpart of the so-called bubbling of vector bundles and connections in differential geometry. The new moduli spaces are algebraic spaces arising as quotients by group actions according to a result of Kollár. As an example, the compactification of the space of stable rank 2 vector bundles with Chern classes c 1 = 0, c 1 = 2 on the projective plane is studied in more detail. Proofs are only indicated and will appear in separate papers.
6
Content available remote

Symplectic structures on moduli spaces of framed sheaves on surfaces

62%
Sala F.
Open Mathematics
|
2012
|
tom 10
|
nr 4
1455-1471
EN
We provide generalizations of the notions of Atiyah class and Kodaira-Spencer map to the case of framed sheaves. Moreover, we construct closed two-forms on the moduli spaces of framed sheaves on surfaces. As an application, we define a symplectic structure on the moduli spaces of framed sheaves on some birationally ruled surfaces.
7
Content available remote

On the Brill-Noether theory for K3 surfaces

62%
Leyenson M.
Open Mathematics
|
2012
|
tom 10
|
nr 4
1486-1540
EN
Let (S, H) be a polarized K3 surface. We define Brill-Noether filtration on moduli spaces of vector bundles on S. Assume that (c 1(E), H) > 0 for a sheaf E in the moduli space. We give a formula for the expected dimension of the Brill-Noether subschemes. Following the classical theory for curves, we give a notion of Brill-Noether generic K3 surfaces. Studying correspondences between moduli spaces of coherent sheaves of different ranks on S, we prove our main theorem: polarized K3 surface which is generic in the sense of moduli is also generic in the sense of Brill-Noether theory (here H is the positive generator of the Picard group of S). The harder part of the proof is proving the non-emptiness of the Brill-Noether loci. In the case of algebraic curves such a theorem, proved by Griffiths and Harris and, independently, by Lazarsfeld, is sometimes called the strong theorem of the Brill-Noether theory. We finish by considering a number of projective examples. In particular, we construct explicitly Brill-Noether special K3 surfaces of genus 5 and 6 and show the relation with the theory of Brill-Noether special curves.
8
Content available remote

Recent results on quiver sheaves

52%
Laudin A., Schmitt A.
Open Mathematics
|
2012
|
tom 10
|
nr 4
1246-1279
EN
In this article, we survey recent work on the construction and geometry of representations of a quiver in the category of coherent sheaves on a projective algebraic manifold. We will also prove new results in the case of the quiver • ← • → •.
9
Content available remote

Rank-two vector bundles on Hirzebruch surfaces

52%
Aprodu M., Brînzănescu V., Marchitan M.
Open Mathematics
|
2012
|
tom 10
|
nr 4
1321-1330
EN
We survey some parts of the vast literature on vector bundles on Hirzebruch surfaces, focusing on the rank-two case.
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.