Kodaira dimension of symmetric powers-Reference-Cited by-同舟云学术

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Kodaira dimension of symmetric powers

Published:2002-10-01 Issue:5 Volume:131 Page:1369-1372
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Arapura Donu,Archava Sviatoslav

Abstract

We compute the plurigenera and the Kodaira dimension of the d d th symmetric power S d X S^dX of a smooth projective variety X X . As an application we obtain genus estimates for the curves lying on X X .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2003-131-05/S0002-9939-02-06797-7/S0002-9939-02-06797-7.pdf

Reference8 articles.

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3. Classification of higher-dimensional varieties;Mori, Shigefumi,1987

4. Rational equivalence of 0-cycles on surfaces;Mumford, D.;J. Math. Kyoto Univ.,1968

5. Canonical 3-folds;Reid, Miles,1980

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Hyperbolicity and specialness of symmetric powers;Journal de l’École polytechnique — Mathématiques;2022-02-16

2. Automorphisms of the Hilbert schemes of n points of a rational surface and the anticanonical Iitaka dimension;Geometriae Dedicata;2020-01-08

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