A complex hyperbolic structure for the moduli space of curves of genus three

By S. Kondo. 2000

95 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/65f58d8a75d65420f266515eca9e403e5ed689ef

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In Geometry and Topology

In Mathematical Physics

Citations in the corpus

New non-arithmetic complex hyperbolic lattices (2014, background): “The few other examples of moduli spaces that are known to admit a complex hyperbolic uniformization (see [ACT02], [Kon00] for instance) produce arithmetic lattices.”
Reflection groups in algebraic geometry (2006, background): “c, groups were found in dimensions 6 and 8 [56], [72], [71].”
Compactifications defined by arrangements I: The Ball Quotient case (2001, methodology): “A period map taking values in a ball quotient has been constructed by Kond¯ o [ 12 ].”
Alternate Compactifications of Moduli Spaces of Curves (2010, background): “s. Here, Xcan be realized as the image of M3 under the natural map to Alexeev’s space of semi-abelic pairs [Ale02]. Around the same time, Kondo proved that M3 is birational to a complex ball quotient [Kon00], which gives rise to proper birational model of M3 by taking the Baily-Borel compactication ”
The Moduli Space of Rational Elliptic Surfaces (2000, unknown): “Modification of the Baily-Borel compactification 229”
Classical Algebraic Geometry: A Modern View (2012, unknown): “We refer to [13], [15],[285], [347], [368], [369].”
Log minimal model program for the moduli space of stable curves of genus three (2007, methodology): “He extends this correspondence to the whole D by allowing hyperelliptic curves of genus 3 and singular pseudo-stable plane curves of genus 3 [12].”
Special cycles on unitary Shimura varieties II: global theory (2009, background): “he eigenspaces for the k-action corresponding to the complex embeddings in Σ, resp. in Σ. 15.6. Curves of genus three. Our third example concerns the moduli space of curves of genus 3 following Kondo [56]. Let Cbe a non-hyperelliptic smooth projective curve of genus 3. The canonical system embeds Ca”