Second Chern class and Riemann-Roch for vector bundles on resolutions of surface singularities.
Page 1
Jonathan Wahl (1993)
Mathematische Annalen
Gentiana Danila (2000)
Annales de l'institut Fourier
La conjecture de “dualité étrange” de Le Potier donne un isomorphisme entre l’espace des sections du fibré déterminant sur deux espaces de modules différents de faisceaux semi-stables sur le plan projectif . Si on considère deux classes orthogonales dans l’algèbre de Grothendieck telles que est de rang strictement positif et est de rang zéro, on note et les espaces de modules de faisceaux semi-stables de classe , respectivement , sur . Il existe sur (resp. ) un fibré déterminant...
Maria Chiara Brambilla (2009)
Revista Matemática Complutense
Zhenbo Qin (1992)
Mathematische Zeitschrift
Tohru Nakashima (1996)
Compositio Mathematica
Sonia Brivio (1993)
Mathematische Zeitschrift
Stefan Bauer (1992)
Journal für die reine und angewandte Mathematik
Kai-Cheong Mong (1991)
Journal für die reine und angewandte Mathematik
Edoardo Ballico, Luca Chiantini (1992)
Forum mathematicum
Daniel Naie (1994)
Mathematische Annalen
Ulrich Schlickewei (2010)
Rendiconti del Seminario Matematico della Università di Padova
Carla Dionisi (2004)
Revista Matemática Complutense
In this paper nondegenerate multidimensional matrices of boundary format in V0 ⊗ ... ⊗ Vp are investigated by their link with Steiner vector bundles on product of projective spaces. For any nondegenerate matrix A the stabilizer for the SL(V0) x ... x SL(Vp)-action, Stab(A), is completely described. In particular we prove that there exists an explicit action of SL(2) on V0 ⊗ ... ⊗ Vp such that Stab(A)0 ⊆ SL(2) and the equality holds if and only if A belongs to a unique SL(V0) x ... x SL(Vp)-orbit...
Rüdiger Plantiko (1995)
Manuscripta mathematica
Aspinwall, Paul S. (1998)
Documenta Mathematica
Francesco Sala (2012)
Open Mathematics
We provide generalizations of the notions of Atiyah class and Kodaira-Spencer map to the case of framed sheaves. Moreover, we construct closed two-forms on the moduli spaces of framed sheaves on surfaces. As an application, we define a symplectic structure on the moduli spaces of framed sheaves on some birationally ruled surfaces.
Robert Lazarsfeld, Lawrence Ein (1993)
Inventiones mathematicae
Page 1