Projective duals to algebraic and tropical hypersurfaces. Issue 5 (27th May 2019)
- Record Type:
- Journal Article
- Title:
- Projective duals to algebraic and tropical hypersurfaces. Issue 5 (27th May 2019)
- Main Title:
- Projective duals to algebraic and tropical hypersurfaces
- Authors:
- Ilten, Nathan
Len, Yoav - Abstract:
- Abstract: We study a tropical analogue of the projective dual variety of a hypersurface. When X is a curve in P 2 or a surface in P 3, we provide an explicit description of Trop ( X ∗ ) in terms of Trop ( X ), as long as Trop ( X ) is smooth and satisfies a mild genericity condition. As a consequence, when X is a curve we describe the transformation of Newton polygons under projective duality, and recover classical formulas for the degree of a dual plane curve. For higher dimensional hypersurfaces X, we give a partial description of Trop ( X ∗ ) .
- Is Part Of:
- Proceedings of the London Mathematical Society. Volume 119:Issue 5(2019)
- Journal:
- Proceedings of the London Mathematical Society
- Issue:
- Volume 119:Issue 5(2019)
- Issue Display:
- Volume 119, Issue 5 (2019)
- Year:
- 2019
- Volume:
- 119
- Issue:
- 5
- Issue Sort Value:
- 2019-0119-0005-0000
- Page Start:
- 1234
- Page End:
- 1278
- Publication Date:
- 2019-05-27
- Subjects:
- 14T05 (primary) -- 14N05 (secondary)
Mathematics -- Periodicals
Mathematics
Periodicals
510 - Journal URLs:
- http://catalog.hathitrust.org/api/volumes/oclc/1606055.html ↗
http://journals.cambridge.org/jid_PLM ↗
http://plms.oxfordjournals.org/content/by/year ↗
http://ukcatalogue.oup.com/ ↗
http://firstsearch.oclc.org ↗
http://firstsearch.oclc.org/journal=0024-6115;screen=info;ECOIP ↗ - DOI:
- 10.1112/plms.12268 ↗
- Languages:
- English
- ISSNs:
- 0024-6115
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 6751.000000
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 12065.xml