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Covers of algebraic varieties IV. A Bertini theorem for scandinavian covers
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Gianfranco Casnati
Published/Copyright:
March 4, 2009
Abstract
Let Y be an integral scheme and fix locally free 𝒪Y – sheaves ℰ, 𝒜 and ℬ of ranks 5, 3 and 3 respectively. Consider the projective bundle 
and a morphism δ : π*𝒜 → π*ℬ(1) X ≔ D1(δ) be the locus of points x ∈ ℙ where rk(δx) ≤ 1. Then the map ϱ ≔ π|X : X → Y is a cover of degree d = 6 if dim(X ∩ π–1(y)) = 0 for each y ∈ Y. We call such a cover scandinavian. We prove a Bertini – type theorem and we give some examples of scandinavian and non scandinavian covers of degree 6.
Received: 1998-11-26
Revised: 2000-02-17
Accepted: 2000-07-12
Published Online: 2009-03-04
Published in Print: 2001-January
© de Gruyter 2001
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- Regularity theory for some semi-linear equations: the Q-method
- Covers of algebraic varieties IV. A Bertini theorem for scandinavian covers
- Asymptotic Dirichlet problem for harmonic maps via rough isometry
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Articles in the same Issue
- Regularity theory for some semi-linear equations: the Q-method
- Covers of algebraic varieties IV. A Bertini theorem for scandinavian covers
- Asymptotic Dirichlet problem for harmonic maps via rough isometry
- Feller semigroups, Lp-sub-Markovian semigroups, and applications to pseudo-differential operators with negative definite symbols
- On the stability of asymptotic properties of perturbed C0-semigroups
- Nonvanishing of the central critical value of the third symmetric power L-functions
- Nilmanifolds are Jiang-type spaces for coincidences
- BR-groups with critical type set (1, 2)
