Title	On a problem of PoincarÃ©: Bounds on degrees of vector fields
Creator	Polini, Claudia
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-06-26T10:31
Description	In 1891, PoincarÃ© asked if it is possible to bound the degree of a projective plane curve that is left invariant by a vector field in terms of the degree of the vector field. In joint work with Chardin, Hassenzadeh, Simis, and Ulrich we address this question. The question can be restated as a problem about the initial degree of the module of derivations of the coordinate ring R of the curve modulo the Euler derivation in terms of invariants of R. We exhibit lower and upper bounds for this initial degree and in several instances we are able to determine the initial degree. Examples will be given to illustrate the situation.
Extent	70.0
Subject	Mathematics; Commutative rings and algebras; Algebraic geometry; Algebraic structures
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Notre Dame
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-23
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377338
URI	http://hdl.handle.net/2429/69096
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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