A limit linear series moduli scheme

Brian Osserman[1]

  • [1] University of California Department of mathematics Berkeley CA 94707-3840 (USA)

Annales de l’institut Fourier (2006)

  • Volume: 56, Issue: 4, page 1165-1205
  • ISSN: 0373-0956

Abstract

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We develop a new, more functorial construction for the basic theory of limit linear series, which provides a compactification of the Eisenbud-Harris theory. In an appendix, in order to obtain the necessary dimensional lower bounds on our limit linear series scheme we develop a theory of “linked Grassmannians”; these are schemes parametrizing sub-bundles of a sequence of vector bundles, which map into one another under fixed maps of the ambient bundles.

How to cite

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Osserman, Brian. "A limit linear series moduli scheme." Annales de l’institut Fourier 56.4 (2006): 1165-1205. <http://eudml.org/doc/10169>.

@article{Osserman2006,
abstract = {We develop a new, more functorial construction for the basic theory of limit linear series, which provides a compactification of the Eisenbud-Harris theory. In an appendix, in order to obtain the necessary dimensional lower bounds on our limit linear series scheme we develop a theory of “linked Grassmannians”; these are schemes parametrizing sub-bundles of a sequence of vector bundles, which map into one another under fixed maps of the ambient bundles.},
affiliation = {University of California Department of mathematics Berkeley CA 94707-3840 (USA)},
author = {Osserman, Brian},
journal = {Annales de l’institut Fourier},
keywords = {Limit linear series; compactification; linked Grassmannian; limit linear series; deformations},
language = {eng},
number = {4},
pages = {1165-1205},
publisher = {Association des Annales de l’institut Fourier},
title = {A limit linear series moduli scheme},
url = {http://eudml.org/doc/10169},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Osserman, Brian
TI - A limit linear series moduli scheme
JO - Annales de l’institut Fourier
PY - 2006
PB - Association des Annales de l’institut Fourier
VL - 56
IS - 4
SP - 1165
EP - 1205
AB - We develop a new, more functorial construction for the basic theory of limit linear series, which provides a compactification of the Eisenbud-Harris theory. In an appendix, in order to obtain the necessary dimensional lower bounds on our limit linear series scheme we develop a theory of “linked Grassmannians”; these are schemes parametrizing sub-bundles of a sequence of vector bundles, which map into one another under fixed maps of the ambient bundles.
LA - eng
KW - Limit linear series; compactification; linked Grassmannian; limit linear series; deformations
UR - http://eudml.org/doc/10169
ER -

References

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