vector bundles
The action of the Frobenius map on rank 2 vector bundles over a supersingular genus 2 curve in characteristic 2.
... classes of semistable rank 2 vector bundles E with trivial determinant over X such that F abs (n) ∗ E is semistable for all n ≥ 1. Proposition 5.3 Let X be a smooth, proper, and supersingular curve of genus ...
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ON THE STABILITY OF FLAT COMPLEX VECTOR BUNDLES OVER PARALLELIZABLE MANIFOLDS
... For cocompact lattices Γ with first Betti number ≥ 2, Ghys constructed in [7] group homomorphisms from Γ to SL(2, C) which are close to the identity and such that the image is Zariski dense. One can also see [12] in ...
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Maximal accretive extensions of Schrödinger operators on vector bundles over infinite graphs
... of vector bundles over M . But the notion of vector bundle is also relevant on graphs; see for example [1], [11], [20], and ...a vector bun- dle over an infinite weighted ...
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Unipotent vector bundles and higher-order non-holomorphic Eisenstein series
... rank vector bundles V from certain unipotent representations π of Γ and show that higher-order non-holomorphic Eisenstein series can be viewed as components of certain eigensections, E, of ...
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Hitchin-Mochizuki morphism, Opers and Frobenius-destabilized vector bundles over curves
... semistable vector bundles of rank r and degree 0 over a curve X and denote by J (r) the closed subvariety of M(r) parameterizing semistable bundles E such that F ∗ (E) is not ...
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Iterated destabilizing modifications for vector bundles with connection
... Hodge bundles with given parabolic structure then the parabolic structure can be perturbed keeping stability and keeping the same Hodge type (it is the same argument as was used above at the interior points of the ...
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The action of the Frobenius map on rank 2 vector bundles over genus 2 curves in small characteristics
... one can find an integer n > 0 such that F abs (n) ∗ E ∼ = E. Thus, natural questions about the generalized Verschiebung V r : M X 1 (r) 99K M X (r) arise like, e.g., its surjectivity, its degree, the density of ...
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Irreducibility of the moduli space of stable vector bundles of rank two and odd degree on a very general quintic surface
... The eigenvalues of φ| Y are therefore ±p(z + x)(z − x), generically distinct. For a general choice of the surface X, our curve Y = X ∩ (y = 0) will intersect the planes x = z and x = −z transversally, so the two ...
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A relation between the parabolic Chern characters of the de Rham bundles
... parabolic bundles associated to logarithmic connections (sec- tion 3) instead of canonical ...parabolic bundles associated to such local ...parabolic bundles are compatible with pullback morphisms ...
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Moduli spaces of orthogonal bundles over an algebraic curve
... the vector bundle case, there is a coarse mod- uli scheme (which is not projective when rank and degree are not coprime) for stable vector ...semi-stable vector bundles (which is a ...
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Exceptional bundles and moduli spaces of stable sheaves on P_n
... exceptional bundles can be useful to study vector bundles on the projective ...exceptional bundles appeared in [5], and they were used to describe the ranks and Chern classes of semi-stable ...
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HOLOMORPHIC BUNDLES TRIVIALIZABLE BY PROPER SURJECTIVE HOLOMORPHIC MAP
... HOLOMORPHIC BUNDLES TRIVIALIZABLE BY PROPER SURJECTIVE HOLOMORPHIC MAP INDRANIL BISWAS AND SORIN DUMITRESCU ...holomorphic vector bundles E on M such that ϕ ∗ E is trivial for some surjective ...
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Affine bundles are affine spaces
... 5. Vector bundles are C ∞ (M) -modules The space of sections Γ(η) is a C ∞ (M)-module : (s 1 + s 2 )(x ) := s 1 (x ) + s 2 (x ) ∈ η x , ...of vector bundles β : η → η 0 induces a C ∞ ...
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Ulrich bundles on abelian surfaces
... 2 vector bundles with the same Chern classes as F is smooth of dimension 2n + 2 [?]; the Ulrich bundles form a Zariski open subset M U of this moduli ...
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Computing persistent Stiefel-Whitney classes of line bundles
... of vector bundle fil- trations. It relies on seeing vector bundles as subsets of some Euclidean ...a vector bundle structure, that we call a ˇ Cech bundle ...
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Light Composite Vector Bosons
... In this particular SU (4) model, we will also have 28 fermions transforming as doublets under the SU (2) to which the light vector meson couples, and as an antisymmetric tensor under the suriving SU (8) global ...
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Obstructed bundles of rank two on a quintic surface
... stable bundles with c 2 = 8 are in Σ 8 , so all components of the moduli space have dimension ≥ ...of bundles having co-obstruction with irreducible spectral covering, is ≤ 13 (Corollary ...such ...
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An analogue of Serre fibrations for C*-algebra bundles
... algebra bundles. Although the fibres of these bundles are quite irregular, they are locally trivial in a K-theoritical sense and we shall call these fibrations ...-algebra bundles over X by certain C ...
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The Chern invariants for parabolic bundles at multiple points
... THE CHERN INVARIANTS FOR PARABOLIC BUNDLES AT MULTIPLE POINTS CHADI HASSAN TAHER Abstract. If D ⊂ X is a curve with multiple points in a surface, a parabolic bundle defined on (X, D) away from the singularities ...
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Unsupervised Fiber Bundles Registration using Weighted Measures Geometric Demons
... For registration we take the largest (i.e. more than 50 fibers) and the longest ones (i.e. more than 50mm) as we believe they can better lead the alignment of the white matter. Ideally this yields to 50-100 fiber ...
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