Geometry & Topology

Modular operads of embedded curves

Satoshi Kondo, Charles Siegel, and Jesse Wolfson

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For each k 5, we construct a modular operad ¯k of “k–log-canonically embedded” curves. We also construct, for k 2, a stable cyclic operad ¯ck of such curves, and, for k 1, a cyclic operad ¯0,ck of “k–log-canonically embedded” rational curves.

Article information

Geom. Topol., Volume 21, Number 2 (2017), 903-922.

Received: 18 August 2014
Revised: 4 May 2016
Accepted: 8 May 2016
First available in Project Euclid: 16 November 2017

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14H10: Families, moduli (algebraic)
Secondary: 18D50: Operads [See also 55P48]

modular operad log-canonical Hilbert scheme


Kondo, Satoshi; Siegel, Charles; Wolfson, Jesse. Modular operads of embedded curves. Geom. Topol. 21 (2017), no. 2, 903--922. doi:10.2140/gt.2017.21.903.

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