Albanese varieties with modulus and Hodge theory
Kazuya Kato[1]; Henrik Russell[2]
- [1] University of Chicago Department of Mathematics Chicago, IL 60637 (USA)
- [2] Universität Duisburg-Essen FB6 Mathematik, Campus Essen 45117 Essen (Germany)
Annales de l’institut Fourier (2012)
- Volume: 62, Issue: 2, page 783-806
- ISSN: 0373-0956
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topKato, Kazuya, and Russell, Henrik. "Albanese varieties with modulus and Hodge theory." Annales de l’institut Fourier 62.2 (2012): 783-806. <http://eudml.org/doc/251041>.
@article{Kato2012,
abstract = {Let $X$ be a proper smooth variety over a field $k$ of characteristic $0$ and $Y$ an effective divisor on $X$ with multiplicity. We introduce a generalized Albanese variety Alb$(X,Y)$ of $X$ of modulus $Y$, as higher dimensional analogue of the generalized Jacobian with modulus of Rosenlicht-Serre. Our construction is algebraic. For $k = \mathbb\{C\}$ we give a Hodge theoretic description.},
affiliation = {University of Chicago Department of Mathematics Chicago, IL 60637 (USA); Universität Duisburg-Essen FB6 Mathematik, Campus Essen 45117 Essen (Germany)},
author = {Kato, Kazuya, Russell, Henrik},
journal = {Annales de l’institut Fourier},
keywords = {generalized Albanese variety; modulus of a rational map; generalized mixed Hodge structure},
language = {eng},
number = {2},
pages = {783-806},
publisher = {Association des Annales de l’institut Fourier},
title = {Albanese varieties with modulus and Hodge theory},
url = {http://eudml.org/doc/251041},
volume = {62},
year = {2012},
}
TY - JOUR
AU - Kato, Kazuya
AU - Russell, Henrik
TI - Albanese varieties with modulus and Hodge theory
JO - Annales de l’institut Fourier
PY - 2012
PB - Association des Annales de l’institut Fourier
VL - 62
IS - 2
SP - 783
EP - 806
AB - Let $X$ be a proper smooth variety over a field $k$ of characteristic $0$ and $Y$ an effective divisor on $X$ with multiplicity. We introduce a generalized Albanese variety Alb$(X,Y)$ of $X$ of modulus $Y$, as higher dimensional analogue of the generalized Jacobian with modulus of Rosenlicht-Serre. Our construction is algebraic. For $k = \mathbb{C}$ we give a Hodge theoretic description.
LA - eng
KW - generalized Albanese variety; modulus of a rational map; generalized mixed Hodge structure
UR - http://eudml.org/doc/251041
ER -
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