Log canonical threshold and Segre classes of monomial schemes

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• 作者：Paolo Aluffi (1)
  
  1. Mathematics Department ; Florida State University ; Tallahassee ; FL ; 32306 ; USA
  
• 关键词：14B05 ; 14C17
• 刊名：manuscripta mathematica
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：146
• 期：1-2
• 页码：1-6
• 全文大小：122 KB
• 参考文献：1. Aluffi, P.: Segre classes as integrals over polytopes. J. Eur. Math. Soc. (JEMS), arXiv:1307.0830 (to appear)
  2. Apostol, T.: Zeta and related functions. In The Digital Library of Mathematical Functions http://dlmf.nist.gov/. National Institute of Standards and Technology (NIST), Gaithersburg, USA (2013)
  3. Fulton, W.: Intersection theory. Springer, Berlin, pp. xi+470 (1984)
  4. Howald J.A.: Multiplier ideals of monomial ideals. Trans. Am. Math. Soc. 353(7), 2665鈥?671 (2001) CrossRef
  5. Musta牛膬, M.: IMPANGA lecture notes on log canonical thresholds. In: Contributions to algebraic geometry, EMS Ser. Congr. Rep., pp. 407鈥?42. Eur. Math. Soc., Z眉rich, 2012. Notes by Tomasz Szemberg (2012)
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Algebraic Geometry
  Topological Groups and Lie Groups
  Geometry
  Number Theory
  Calculus of Variations and Optimal Control
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-1785

文摘

We express the Segre class of a monomial scheme in projective space in terms of log canonical thresholds of associated ideals. Explicit instances of the relation amount to identities involving the classical polygamma functions.