## Geometry & Topology

### Modular operads of embedded curves

#### Abstract

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

#### Article information

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

Dates
Revised: 4 May 2016
Accepted: 8 May 2016
First available in Project Euclid: 16 November 2017

https://projecteuclid.org/euclid.gt/1510859170

Digital Object Identifier
doi:10.2140/gt.2017.21.903

Mathematical Reviews number (MathSciNet)
MR3626593

Zentralblatt MATH identifier
1364.14020

Subjects
Primary: 14H10: Families, moduli (algebraic)
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