Modular operads of embedded curves

Kondo, Satoshi; Siegel, Charles; Wolfson, Jesse

doi:10.2140/gt.2017.21.903

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Modular operads of embedded curves

Satoshi Kondo, Charles Siegel and Jesse Wolfson

Geometry & Topology 21 (2017) 903–922

DOI: 10.2140/gt.2017.21.903

Abstract

For each $k \geq 5$ , we construct a modular operad ${\bar{ℰ}}^{k}$ of “ $k$ –log-canonically embedded” curves. We also construct, for $k \geq 2$ , a stable cyclic operad ${\bar{ℰ}}_{c}^{k}$ of such curves, and, for $k \geq 1$ , a cyclic operad ${\bar{ℰ}}_{0, c}^{k}$ of “ $k$ –log-canonically embedded” rational curves.

Keywords

modular operad, log-canonical Hilbert scheme

Mathematical Subject Classification 2010

Primary: 14H10

Secondary: 18D50

References

Publication

Received: 18 August 2014

Revised: 4 May 2016

Accepted: 8 May 2016

Published: 17 March 2017

Proposed: Lothar Göttsche

Seconded: Jim Bryan, Dan Abramovich

Authors

Satoshi Kondo
Faculty of Mathematics Higher School of Economics National Research University 6 Usacheva Str. Moscow 119048 Russia

Charles Siegel
Pacific Northwest National Laboratory 902 Battelle Blvd Richland, WA 99354 United States

Jesse Wolfson
Department of Mathematics University of Chicago 5734 S University Ave. Chicago, IL 60637 United States

Volume 21, issue 2 (2017)