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Residues and Resultants
http://hdl.handle.net/2261/1350
http://hdl.handle.net/2261/135065eb6105-a3a1-4ac9-b094-916a0827920c
名前 / ファイル | ライセンス | アクション |
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jms050106.pdf (243.8 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-03-04 | |||||
タイトル | ||||||
タイトル | Residues and Resultants | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Cattani, Eduardo
× Cattani, Eduardo |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | Resultants, Jacobians and residues are basic invariants of multivariate polynomial systems. We examine their interrelations in the context of toric geometry. The global residue in the torus, studied by Khovanskii, is the sum over local Grothendieck residues at the zeros of $n$ Laurent polynomials in $n$ variables. Cox introduced the related notion of the toric residue relative to $n+1$ divisors on an $n$-dimensional toric variety. We establish denominator formulas in terms of sparse resultants for both the toric residue and the global residue in the torus. A byproduct is a determinantal formula for resultants based on Jacobians. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 5, 号 1, p. 119-148, 発行日 1998 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR1617074 | ||||||
Mathmatical Subject Classification | ||||||
14M25(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
32A27(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
13D25(MSC1991) | ||||||
Mathmatical Subject Classification | ||||||
52B20(MSC1991) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
1997-02-11 |