WebThis book treats the interaction between discrete convex geometry, commutative ring theory, algebraic K-theory, and algebraic geometry. The basic mathematical objects are … WebThis book treats the interaction between discrete convex geometry, commutative ring theory, algebraic K-theory, and algebraic geometry. The basic mathematical objects are lattice polytopes, rational cones, affine monoids, the algebras derived from them, and toric varieties. The book discusses severa…
Polytopes, Rings, and K-Theory (Springer Monographs in …
WebThen, the toric ring of Pis the subalgebra K[P] of K[X, X 1,t] generated by fXa1t,. . ., Xam tgover K. Here, we need the variable t in order to regard K[P] as a homogeneous algebra by setting each deg Xai t = 1. The toric ideal IPof Pis the kernel of a surjective homomorphism p: K[y1,. . .,ym] !K[P] defined by p(yi) = Xai t for 1 i m. WebJun 12, 2009 · This book treats the interaction between discrete convex geometry, commutative ring theory, algebraic K-theory, and algebraic geometry. The basic … desmos equation of best fit
Polytopes, Rings, and K-Theory sur Apple Books
WebMay 6, 2002 · We show that the family of standard simplices and the family of Stasheff polytopes are dual to each other in the ... Combinatorics (math.CO); Rings and Algebras (math.RA) MSC classes: 18D50, 17D99, 52Bxx, 55Nxx, 55U10: Cite as: arXiv:math/0205043 [math.AT ... Homotopy theory: relations with algebraic geometry, group cohomology ... WebThe last part is an extensive treatment of the K-theory of monoid rings, with extensions to toric varieties and their intersection theory. This monograph has been written with a view … WebCiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): braic K-theory is largely the K-theory of rings. At first sight, polytopes, by their very nature, must appear alien to surveyors of this heartland of algebra. But in the presence of a discrete structure, polytopes define affinemonoids, and, in their turn, affine monoids give rise to monoid … desmos calculator line of best fit