Title	On the real inflection points of linear (in)complete series on real (hyper)elliptic curves.
Creator	Garay, Cristhian
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-09-10T11:03
Description	Using tools from Tropical and Non-Archimedean Geometry, we show that there is a tight relationship between the following two concepts of real inflection of real linear series defined on real algebraic curves: 1. that of complete series on hyper-elliptic curves, and 2. that of incomplete series on elliptic curves. Concretely, the case (1) can be degenerated to the case (2), and the case (2) can be regenerated to the case (1). This interplay gives us two products: 1. A limit linear series on a (marked) metrized complex of (real) algebraic curves. By this we mean a marked tropical curve with real models. 2. A 2-dimensional family of polynomials generalizing the division polynomials (which are used to compute the torsion points of elliptic curves) This is a joint work with I. Biswas (TATA, India) and E. Cotterill (UFF, Brazil).
Extent	44.0 minutes
Subject	Mathematics; Algebraic geometry; Combinatorics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: CINVESTAV
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2020-03-09
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0389508
URI	http://hdl.handle.net/2429/73701
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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On the real inflection points of linear (in)complete series on real (hyper)elliptic curves. Garay, Cristhian

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