Connections Between Algebra, Combinatorics, and Geometry

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Cooper, Susan M. (Επιμελητής έκδοσης), Sather-Wagstaff, Sean (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2014.
• Σειρά: Springer Proceedings in Mathematics & Statistics, 76
• Θέματα: Mathematics.; Algebraic geometry.; Commutative algebra.; Commutative rings.; Commutative Rings and Algebras.; Algebraic Geometry.

Commutative algebra, combinatorics, and algebraic geometry are thriving areas of mathematical research with a rich history of interaction. Connections Between Algebra, Combinatorics, and Geometry contains lecture notes, along with exercises and solutions, from the Workshop on Connections Between Alg...

Πίνακας περιεχομένων:

• Preface
• Differential Graded Commutative Algebra
• Secant Varieties
• Fat Points and Symbolic Powers
• An Introduction to Stanley-Reisner Rings
• Combinatorial Resolutions
• Geometric Properties of the Tor Algebra Structure for Trivariate Monomial Ideals
• Interactions Between Linear Algebra and Algebraic Geometry
• Fat Points
• Primary Decomposition of Certain Permanental Ideals.