The vanishing cycles of curves in toric surfaces I. (18th July 2018)
- Record Type:
- Journal Article
- Title:
- The vanishing cycles of curves in toric surfaces I. (18th July 2018)
- Main Title:
- The vanishing cycles of curves in toric surfaces I
- Authors:
- Crétois, Rémi
Lang, Lionel - Abstract:
- Abstract : This article is the first in a series of two in which we study the vanishing cycles of curves in toric surfaces. We give a list of possible obstructions to contract vanishing cycles within a given complete linear system. Using tropical means, we show that any non-separating simple closed curve is a vanishing cycle whenever none of the listed obstructions appears.
- Is Part Of:
- Compositio mathematica. Volume 154:Number 8(2018)
- Journal:
- Compositio mathematica
- Issue:
- Volume 154:Number 8(2018)
- Issue Display:
- Volume 154, Issue 8 (2018)
- Year:
- 2018
- Volume:
- 154
- Issue:
- 8
- Issue Sort Value:
- 2018-0154-0008-0000
- Page Start:
- 1659
- Page End:
- 1697
- Publication Date:
- 2018-07-18
- Subjects:
- 14T05, -- 14M25, -- 32S30 (primary)
tropical geometry, -- toric varieties and Newton polygons, -- vanishing cycles and monodromy, -- simple Harnack curves
Mathematics -- Periodicals
510 - Journal URLs:
- http://journals.cambridge.org/action/displayJournal?jid=COM ↗
- DOI:
- 10.1112/S0010437X18007200 ↗
- Languages:
- English
- ISSNs:
- 0010-437X
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 3366.000000
British Library STI - ELD Digital Store - Ingest File:
- 9701.xml