On the theta divisor of SU(r; 1)

DOI10.1017/S0027763000008205zbMath1020.14011MaRDI QIDQ4545206

Sonia Brivio, Alessandro Verra

Publication date: 14 August 2002

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

moduli spaceRiemann surfacegeneralized theta divisorrational varietytheta map

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Algebraic moduli problems, moduli of vector bundles (14D20) Theta functions and abelian varieties (14K25) Vector bundles on curves and their moduli (14H60)

Cites Work

• Groupe de Picard des variétés de modules de fibrés semi-stable sur les courbes algébriques. (Picard groups of moduli varieties of semi- stable bundles on algebraic curves)
• Classification of vector bundles of rank 2 on hyperelliptic curves
• Remark on the moduli space of rank 2 bundles over a curve
• Rationality of moduli spaces of stable bundles
• The theta divisor of \(SU_ C(2,2d)^ s\) is very ample if \(C\) is not hyperelliptic
• The moduli space of vector bundles over an algebraic curve
• Fibrés de rang 2 sur une courbe, fibré déterminant et fonctions thêta
• Fibrés de rang deux sur une courbe, fibré déterminant et fonctions thêta. II