The Eisenbud-Koh-Stillman conjecture on linear syzygies
نویسندگان
چکیده
منابع مشابه
The Eisenbud - Koh - Stillman Conjecture on Linear Syzygies
Although the relationship between minimal free resolutions and Koszul cohomology has been known for a long time, it has been difficult to find a way to fully utilize the " exterior " nature of the Koszul classes. The technique used here seems to be one way to begin to do this. We prove a conjecture of Eisenbud-Koh-Stillman on linear syzygies and in consequence a conjecture of Lazarsfeld and mys...
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We address special cases of a question of Eisenbud on the ideals of secant varieties of Veronese re-embeddings of arbitrary varieties. Eisenbud’s question generalizes a conjecture of Eisenbud, Koh and Stillman (EKS) for curves. We prove that set-theoretic equations of small secant varieties to a high degree Veronese re-embedding of a smooth variety are determined by equations of the ambient Ver...
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ژورنال
عنوان ژورنال: Inventiones Mathematicae
سال: 1999
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s002220050314