SU(r,L) is separably unirational
Georg Hein
TL;DR
This paper proves that the moduli space of rank r vector bundles with fixed determinant on a smooth projective curve is separably unirational, advancing understanding of its geometric structure.
Contribution
It establishes the separable unirationality of the moduli space SU_X(r,L), a significant result in algebraic geometry.
Findings
Moduli space SU_X(r,L) is separably unirational.
Provides new insights into the geometric properties of vector bundle moduli.
Enhances understanding of the structure of moduli spaces on algebraic curves.
Abstract
We show that the moduli space of SU_X(r,L) of rank r bundles of fixed determinant L on a smooth projective curve X is separably unirational.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Advanced Algebra and Geometry