The geometry of large fundamental groups

DOI10.1007/BF02367250zbMath0929.14010OpenAlexW1993179589MaRDI QIDQ1296195

Ludmil Katzarkov

Publication date: 16 August 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02367250

zbMATH Keywords

vanishing theoremsShafarevich conjecturenon-vanishing theoremslarge fundamental groups

Mathematics Subject Classification ID

Vanishing theorems in algebraic geometry (14F17) Coverings of curves, fundamental group (14H30) Homotopy theory and fundamental groups in algebraic geometry (14F35)

Cites Work

• Coreduction algébrique d'un espace analytique faiblement Kählerien compact
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• Moduli of representations of the fundamental group of a smooth projective variety. II
• Linear Shafarevich conjecture
• Théorie de Hodge. II. (Hodge theory. II)
• Kähler hyperbolicity and \(L_ 2\)-Hodge theory
• On the universal coverings of algebraic surfaces
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