Hyperplane arrangements of Torelli type

DOI10.1112/S0010437X12000577zbMath1278.14027arXiv1011.4611MaRDI QIDQ4911106

Jean Vallès, Daniele Faenzi, Daniel Matei

Publication date: 13 March 2013

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.4611

zbMATH Keywords

hyperplane arrangementsTorelli theoremstable curveslogarithmic vector fieldsunstable hyperplanesDolgachev sheaf of logarithmic differentials

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Torelli problem (14C34)

Related Items (5)

Triple planes with $p_g=q=0$ ⋮ Logarithmic bundles and line arrangements, an approach via the standard construction ⋮ Logarithmic bundles of deformed Weyl arrangements of type $A_2$ ⋮ Torelli theorems for some Steiner bundles ⋮ Logarithmic bundles of hypersurface arrangements in \(\mathbb P^n\)

Cites Work

• Vector bundles on complex projective spaces. With an appendix by S. I. Gelfand
• Schwarzenberger fibers and generalized logarithmic fibers
• Arrangements of hyperplanes and vector bundles on \(\mathbb{P}^ n\)
• The cohomology ring of the colored braid group
• Elementary modifications and line configurations in \(\mathbb P^2\)
• Maximal number of unstable hyperplanes for a Steiner bundle
• Logarithmic sheaves attached to arrangements of hyperplanes
• Unstable hyperplanes for Steiner bundles and mulitdimensional matrices
• The maximum likelihood degree
• The module of logarithmic \(p\)-forms of a locally free arrangement

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