Dutour Sikirić, Mathieu; Hulek, Klaus; Schuermann, Achill (2015) Smoothness and singularities of the perfect form and the second Voronoi compactification of Ag. Algebraic Geometry, 2 (5). pp. 642-653. ISSN 2214-2584
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Official URL: http://content.algebraicgeometry.nl/2015-5/2015-5-...
Abstract
We prove that the singular locus of the moduli stack Perf given by the perfect cone or first Voronoi decomposition has codimension 10 if g>=4 and we describe the non-simplicial locus in codimension 10. We also show that the second Voronoi compactification Vor has singularities in codimension 3 for g>=5.
| Item Type: | Article | ||||||||
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| Uncontrolled Keywords: | compactification ; perfect cone ; enumeration | ||||||||
| Subjects: | NATURAL SCIENCES > Mathematics | ||||||||
| Divisions: | Division for Marine and Enviromental Research | ||||||||
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| Depositing User: | Mathieu Dutour | ||||||||
| Date Deposited: | 13 Dec 2018 12:06 | ||||||||
| URI: | http://fulir.irb.hr/id/eprint/4379 | ||||||||
| DOI: | 10.14231/AG-2015-027 |
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