Lines on the fermat quintic threefold and the infinitesimal generalized hodge conjecture

Alberto Albano; Sheldon Katz

doi:10.1090/S0002-9947-1991-1024767-6

Lines on the fermat quintic threefold and the infinitesimal generalized hodge conjecture

Research output: Contribution to journal › Article › peer-review

Abstract

We study the deformation theory of lines on the Fermat quintic threefold. We formulate an infinitesimal version of the generalized Hodge conjecture, and use our analysis of lines to prove it in a special case.

Original language	English (US)
Pages (from-to)	353-368
Number of pages	16
Journal	Transactions of the American Mathematical Society
Volume	324
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9947-1991-1024767-6
State	Published - Mar 1991
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-1991-1024767-6

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Lines on the fermat quintic threefold and the infinitesimal generalized hodge conjecture

Abstract

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