On the Picard bundle
نویسندگان
چکیده
منابع مشابه
On the Picard Bundle
Fix a holomorphic line bundle ξ over a compact connected Riemann surface X of genus g, with g ≥ 2, and also fix an integer r such that degree(ξ) > r(2g−1). Let Mξ(r) denote the moduli space of stable vector bundles overX of rank r and determinant ξ. The Fourier–Mukai transform, with respect to a Poincaré line bundle on X × J(X), of any F ∈Mξ(r) is a stable vector bundle on J(X). This gives an e...
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Let X be a nonsingular algebraic curve of genus g ≥ 3, and let Mξ denote the moduli space of stable vector bundles of rank n ≥ 2 and degree d with fixed determinant ξ over X such that n and d are coprime. We assume that if g = 3 then n ≥ 4 and if g = 4 then n ≥ 3, and suppose further that n0, d0 are integers such that n0 ≥ 1 and nd0 + n0d > nn0(2g − 2). Let E be a semistable vector bundle over ...
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Let X be a nonsingular algebraic curve of genus g ≥ 3, and let M ξ denote the moduli space of stable vector bundles of rank n ≥ 2 and degree d with fixed determinant ξ over X such that n and d are coprime and d > n(2g − 2). We assume that if g = 3 then n ≥ 4 and if g = 4 then n ≥ 3. Let W ξ (L) denote the vector bundle over M ξ defined by the direct image p M ξ * (U ξ ⊗ p * X L) where U ξ is a ...
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It is the purpose of the present paper to outline an introduction in theory of embeddings in the 2-osculator bundle. First, we recall the notion of 2-osculator bundle ([9], [2], [4]) and the notion of submani-folds in the 2-osculator bundle ([9]). A moving frame is constructed. The induced connections and the relative covariant derivation are discussed in the fourth and fifth section ([15], [16...
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ژورنال
عنوان ژورنال: Bulletin des Sciences Mathématiques
سال: 2009
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2008.08.004