A Variation Formula for the Determinant Line Bundle. Compact Subspaces of Moduli Spaces of Stable Bundles over Class VII Surfaces

DOI10.1007/978-3-319-49638-2_10zbMath1390.32015arXiv1309.0350OpenAlexW1547861435MaRDI QIDQ5275149

Andrei Teleman

Publication date: 10 July 2017

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.0350

zbMATH Keywords

moduli spacesclass-VII surfacesGrothendieck-Riemann-Roch theoremholomorphic bundlesdeterminant line bundle

Mathematics Subject Classification ID

Complex-analytic moduli problems (32G13) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Determinants and determinant bundles, analytic torsion (58J52) Classification theorems for complex manifolds (32Q57)

Related Items (4)

Analytic cycles in flip passages and in instanton moduli spaces over non-Kählerian surfaces ⋮ Donaldson theory in non-Kählerian geometry ⋮ On the torsion of the first direct image of a locally free sheaf ⋮ Numerically anticanonical divisors on Kato surfaces

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