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On the Rationality of Certain Strata of the Lange Stratification of Stable Vector Bundles on Curves
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E. Ballico
Published/Copyright:
February 25, 2010
Abstract
Let π be a smooth projective curve of genus π β₯ 2 and π(π, π) the moduli scheme of all rank π stable vector bundles of degree π on π. Fix an integer π with 0 < π < π. H. Lange introduced a natural stratification of π(π, π) using the degree of a rank π subbundle of any πΈ β π(π, π) with maximal degree. Every non-dense stratum, say π(π, π β π, π, π β π), has in a natural way a fiber structure β : π(π, π β π, π, π β π) β Picπ(π) Γ Picπ(π) with β dominant. Here we study the rationality or the unirationality of the generic fiber of β.
Key words and phrases:: Stable vector bundles on curves; moduli schemes of vector bundles; rational variety; unirational variety
Received: 2001-02-22
Published Online: 2010-02-25
Published in Print: 2001-December
Β© Heldermann Verlag
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- On the Rationality of Certain Strata of the Lange Stratification of Stable Vector Bundles on Curves
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- Some Problems of Thermoelastic Equilibrium of a Rectangular Parallelepiped in Terms of Asymmetric Elasticity
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Keywords for this article
Stable vector bundles on curves;
moduli schemes of vector bundles;
rational variety;
unirational variety
Articles in the same Issue
- On the ΞΎ-Exponentially Asymptotic Stability of Linear Systems of Generalized Ordinary Differential Equations
- On the Rationality of Certain Strata of the Lange Stratification of Stable Vector Bundles on Curves
- On the Existence of Singular Solutions
- Suspension and Loop Objects and Representability of Tracks
- Suspension and Loop Objects in Theories and Cohomology
- Global Geometric Aspects of RiemannβHilbert Problems
- The Rearrangement Inequality for the Ergodic Maximal Function
- Some Remarks on Fractals Generated by a Sequence of Finite Systems of Contractions
- Unilateral Contact of Elastic Bodies (Moment Theory)
- Some Problems of Thermoelastic Equilibrium of a Rectangular Parallelepiped in Terms of Asymmetric Elasticity
- On the Product of Separable Metric Spaces
- On Singular Boundary Value Problems for Functional Differential Equations of Higher Order
- A Remark on Polygonal Quasiconformal Maps
- On Homomorphisms, Open Operators and their Adjoints
