Results 11 to 20 of about 95 (76)
Ulrich bundles on K3 surfaces [PDF]
Algebra & Number Theory, 2019 International audienceWe show that any polarized K3 surface supports special Ulrich bundles of rank ...
Faenzi, Daniele
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On Ampleness of vector bundles
Comptes rendus. Mathematique, 2021 In this article, we give a necessary and sufficient condition for ampleness of semistable vector bundles with vanishing discriminant on a smooth projective variety X .
Snehajit Misra, Nabanita Ray
semanticscholar +1 more source
Kobayashi-Hitchin correspondence for tame harmonic bundles II [PDF]
, 2006 Let X be a smooth irreducible projective complex variety with an ample line bundle L, and D be a simple normal crossing hypersurface. We establish the Kobayashi‐ Hitchin correspondence between tame harmonic bundles on X D and L ‐stable parabolic ‐flat ...
T. Mochizuki
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Spectral involutions on rational elliptic surfaces [PDF]
, 2000 In this paper we describe a four dimensional family of special rational elliptic surfaces admitting an involution with isolated fixed points. For each surface in this family we calculate explicitly the action of a spectral version of the involution ...
R. Donagi +3 more
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Verlinde formulae on complex surfaces: K-theoretic invariants
Forum of Mathematics, Sigma, 2021 We conjecture a Verlinde type formula for the moduli space of Higgs sheaves on a surface with a holomorphic 2-form. The conjecture specializes to a Verlinde formula for the moduli space of sheaves.
L. Göttsche, M. Kool, R. A. Williams
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L‐equivalence for degree five elliptic curves, elliptic fibrations and K3 surfaces
Bulletin of the London Mathematical Society, Volume 52, Issue 2, Page 395-409, April 2020., 2020 Abstract We construct non‐trivial L‐equivalence between curves of genus one and degree five, and between elliptic surfaces of multisection index five. These results give the first examples of L‐equivalence for curves (necessarily over non‐algebraically closed fields) and provide a new bit of evidence for the conjectural relationship between L ...
Evgeny Shinder, Ziyu Zhang
wiley +1 more source
Postnikov-stability versus semistability of sheaves [PDF]
, 2009 We present a novel notion of stable objects in a triangulated category. This Postnikov-stability is preserved by equivalences. We show that for the derived category of a projective variety this notion includes the case of semistable sheaves.
G. Hein, D. Ploog
semanticscholar +1 more source
Brill-Noether problems, Ulrich bundles and the cohomology of moduli spaces of sheaves
, 2020 In this paper, we survey some recent developments on computing the cohomology of the moduli spaces of sheaves on surfaces and the Brill-Noether problem.
Izzet Coskun, J. Huizenga
semanticscholar +1 more source
Zero-dimensional Schemes on Abelian Surfaces
, 1994 . The moduli spaces of semistable torsion-free sheaves with c 1 = 0 and c 2 = \Gamma2 and \Gamma3 over a principally polarised complex torus are described explicitly in terms of zero-dimensional subschemes of the torus.
Antony Maciocia
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Vector bundles of finite rank on complete intersections of finite codimension in ind-Grassmannians
Complex Manifolds, 2015 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.
Ermakova Svetlana
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