Carter, P. J., Marsh, Tom, Steeghs, D., Groot, P. J., Nelemans, G., Levitan, D., Rau, A., Copperwheat, C. M., Kupfer, T. and Roelofs, G. H. A. (2013) A search for the hidden population of AM CVn binaries in the Sloan Digital Sky Survey. Monthly Notices of the Royal Astronomical Society, Volume 429 (Number 3). pp. 2143-2160. doi:10.1093/mnras/sts485 ISSN 0035-8711.

Research output not available from this repository.

Request-a-Copy directly from author or use local Library Get it For Me service.

Request Changes to record.

Abstract

We give a definition of Newton non-degeneracy independent of the system of generators defining the variety. This definition extends the notion of Newton non-degeneracy to varieties that are not necessarily complete intersection. As in the previous definition of non-degeneracy for complete intersection varieties, it is shown that the varieties satisfying our definition can be resolved with a toric modification. Using tools of both toric and tropical geometry we describe the toric modification in terms of the Gröbner fan of the ideal defining the variety. The first part of the paper is devoted to introducing the classical concepts and the proof for the hypersurface case.

Item Type:	Journal Article
Divisions:	Faculty of Science, Engineering and Medicine > Science > Physics
Journal or Publication Title:	Monthly Notices of the Royal Astronomical Society
Publisher:	Oxford University Press
ISSN:	0035-8711
Official Date:	March 2013
Dates:	Date Event March 2013 Published
Volume:	Volume 429
Number:	Number 3
Page Range:	pp. 2143-2160
DOI:	10.1093/mnras/sts485
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access

Request changes or add full text files to a record

Repository staff actions (login required)

View Item