Handbook of moduli. Volume I.

*(English)*Zbl 1260.14001
Advanced Lectures in Mathematics (ALM) 24. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-257-2/pbk; 978-1-57146-265-7/set). xv, 578 p. (2013).

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This is the first of three volumes constituting the Handbook of Moduli.

The articles of this volume will be reviewed individually. For Vol. II and III see [Zbl 1260.14003; Zbl 1260.14002].

Indexed articles:

Abramovich, Dan; Chen, Qile; Gillam, Danny; Huang, Yuhao; Olsson, Martin; Satriano, Matthew; Sun, Shenghao, Logarithmic geometry and moduli, 1-61 [Zbl 1322.14023]

Brion, Michel, Invariant Hilbert schemes, 64-117 [Zbl 1322.14001]

Caporaso, Lucia, Algebraic and tropical curves: comparing their moduli spaces, 119-160 [Zbl 1322.14045]

Catanese, F., A superficial working guide to deformations and moduli, 161-215 [Zbl 1322.14002]

Do, Norman, Moduli spaces of hyperbolic surfaces and their Weil-Petersson volumes, 217-258 [Zbl 1322.32011]

Edidin, Dan, Equivariant geometry and the cohomology of the moduli space of curves, 259-292 [Zbl 1322.14003]

Faber, C.; Pandharipande, R., Tautological and non-tautological cohomology of the moduli space of curves, 293-330 [Zbl 1322.14046]

Fedorchuk, Maksym; Smyth, David Ishii, Alternate compactifications of moduli spaces of curves, 331-413 [Zbl 1322.14048]

van der Geer, Gerard, The cohomology of the moduli space of abelian varieties, 415-457 [Zbl 1322.14019]

Gritsenko, V.; Hulek, K.; Sankaran, G. K., Moduli of \(K3\) surfaces and irreducible symplectic manifolds, 459-526 [Zbl 1322.14004]

Hain, Richard, Normal functions and the geometry of moduli spaces of curves, 527-578 [Zbl 1322.14049]

##### MSC:

14-06 | Proceedings, conferences, collections, etc. pertaining to algebraic geometry |

14-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to algebraic geometry |

14D20 | Algebraic moduli problems, moduli of vector bundles |

14H10 | Families, moduli of curves (algebraic) |

14K10 | Algebraic moduli of abelian varieties, classification |

14E30 | Minimal model program (Mori theory, extremal rays) |

14D15 | Formal methods and deformations in algebraic geometry |

14K22 | Complex multiplication and abelian varieties |

00B15 | Collections of articles of miscellaneous specific interest |