A note on theta divisors of stable bundles
Copyright policy )A note on theta divisors of stable bundles
Let C be a smooth complex irreducible projective curve of genus g \geq 3 . We show that if C is a Petri curve with g \geq 4 , a general stable vector bundle E on C , with integer slope, admits an irreducible and reduced theta divisor \Theta_E , whose singular locus has dimension g-4 . If C is non-hyperelliptic of genus 3 , then actually \Theta_E is smooth and irreducible for a general stable vector bundle E with integer slope on C .
- University of Milano-Bicocca Italy
- University of Pavia Italy
Theta divisor. Vector bundles., Vector bundles on curves and their moduli, generalised theta divisor, Families, moduli of curves (algebraic), vector bundle, curve, 510, Vector bundles;
Theta divisor. Vector bundles., Vector bundles on curves and their moduli, generalised theta divisor, Families, moduli of curves (algebraic), vector bundle, curve, 510, Vector bundles;
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