Title	Counting sheaves on singular curves and surfaces
Creator	Gholampour, Amin
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-11-18T11:42
Description	Given a virtually smooth quasi-projective scheme \(M\), and a morphism from \(M\) to a nonsingular quasi-projective variety \(B\), we show it is possible to find an affine bundle \(M'/ M\) that admits a perfect obstruction theory relative to \(B\). We study the resulting virtual cycles on the fibers of \(M'/B\) and relate them to the image of the virtual cycle \([M]^{vir}\) under refined Gysin homomorphisms. Our main application is when \(M\) is a moduli space of stable codimension 1 sheaves on a nonsingular projective surface or Fano threefold.
Extent	58.0 minutes
Subject	Mathematics; Algebraic geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Maryland
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2020-05-17
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0390895
URI	http://hdl.handle.net/2429/74497
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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