On the geometry of moduli spaces of holomorphic chains over compact Riemann surfaces

DOI10.1155/IMRP/2006/73597zbMath1111.32012arXivmath/0512498OpenAlexW2067456245MaRDI QIDQ3421208

Oscar García-Prada, Luis Álvarez-Cónsul, Alexander H. W. Schmitt

Publication date: 12 February 2007

Published in: International Mathematics Research Papers (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512498

zbMATH Keywords

hypercohomologyBetti numbersholomorphic vector bundleschamberswallswall-crossingHitchin-Kobayashi correspondencevortex equationtriplestability parametersparameter regionbirational characterization of moduli spacesbirationality of moduli spacesbirationality regionextensions and deformations of chainsextremal moduli spaces for 3-chainsholomorphic \((n+1)\)-chain over a compact Riemann surfacemoduli space of \(\alpha\)-stable triplesparameter region for semistable 3-chainsparameter structure

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Vector bundles on curves and their moduli (14H60) Symplectic structures of moduli spaces (53D30)

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