Fulton-Hansen and Barth-Lefschetz Theorems for Subvarieties of Abelian Varieties
O. Debarre
TL;DR
This paper explores the Fulton-Hansen and Barth-Lefschetz theorems in the context of subvarieties within abelian varieties, providing new insights into their geometric properties.
Contribution
It extends classical theorems to subvarieties of abelian varieties, offering new conditions and results in algebraic geometry.
Findings
Generalization of Fulton-Hansen theorem to abelian varieties
New criteria for subvarieties satisfying Barth-Lefschetz conditions
Enhanced understanding of the topology of subvarieties in abelian varieties
Abstract
This is the published (Crelles Journal 467 (1995), 187--197) version of an e-print entitled "ON SUBVARIETIES OF ABELIAN VARIETIES".
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Taxonomy
TopicsMathematical Dynamics and Fractals · semigroups and automata theory