Combinatorial commutative algebra

著者

• Miller, Ezra
• Sturmfels, Bernd

書誌事項

Combinatorial commutative algebra

Ezra Miller, Bernd Sturmfels

（Graduate texts in mathematics, 227）

Springer, c2005

注記

Includes bibliographical references (p. 379-395) and index

内容説明・目次

内容説明

Recent developments are covered Contains over 100 figures and 250 exercises Includes complete proofs

目次

Monomial Ideals.- Squarefree monomial ideals.- Borel-fixed monomial ideals.- Three-dimensional staircases.- Cellular resolutions.- Alexander duality.- Generic monomial ideals.- Toric Algebra.- Semigroup rings.- Multigraded polynomial rings.- Syzygies of lattice ideals.- Toric varieties.- Irreducible and injective resolutions.- Ehrhart polynomials.- Local cohomology.- Determinants.- Plucker coordinates.- Matrix Schubert varieties.- Antidiagonal initial ideals.- Minors in matrix products.- Hilbert schemes of points.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA70661099
• ISBN:
  • 0387223568
• LCCN: 2004052495
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: xiv, 417 p.
• 大きさ: 25 cm
• 分類:
  • LCC : QA251.3
  • DC22 : 512/.44
• 件名:
  • LCSH : Commutative algebra
• 親書誌ID:
  • BA00010074