Editorial Committe e Jerry L . Bon a Donal d S . Ornstei n Theodore W . Gameli n Leonar d L . Scot t (Chair ) 1991 Mathematics Subject Classification. Primar y 13P10 , 14M25 Secondary 52B12 , 90C10 , 14Q99 . ABSTRACT. Thi s book i s about th e interpla y o f computational commutativ e algebr a an d th e theor y of conve x polytopes . A centra l them e i s th e stud y o f tori c ideal s an d thei r application s i n intege r programming. Thi s boo k i s aime d a t graduat e student s i n mathematics , compute r science , an d theoretical operation s research . Library o f Congres s Cataloging-in-Publicatio n Dat a Sturmfels, Bernd , 1962 - Grobner base s an d conve x polytope s / Bern d Sturmfels . p. cm . (Universit y lectur e series , ISS N 1047-3998 v . 8 ) Includes bibliographica l reference s an d index . ISBN 0-8218-0487- 1 1. Grobne r bases . 2 . Conve x polytopes . I . Title . II . Series : Universit y lectur e serie s (Providence, R.I.) 8 . QA251.3.S785 199 5 512/.24—dc20 95-4578 0 CIP Copying an d reprinting . Individua l reader s o f thi s publication , an d nonprofi t librarie s actin g for them , ar e permitte d t o mak e fai r us e o f th e material , suc h a s t o cop y a chapte r fo r us e in teachin g o r research . Permissio n i s grante d t o quot e brie f passage s fro m thi s publicatio n i n reviews, provide d th e customar y acknowledgmen t o f th e sourc e i s given . Republication, systemati c copying , o r multipl e reproductio n o f any materia l i n thi s publicatio n (including abstracts ) i s permitte d onl y unde r licens e fro m th e America n Mathematica l Society . Requests fo r suc h permissio n shoul d b e addresse d t o th e Assistan t t o th e Publisher , America n Mathematical Society , P.O . Bo x 6248 , Providence , Rhod e Islan d 02940-6248 . Request s ca n als o be mad e b y e-mai l t o reprint-permission@ams.org . © Copyrigh t 199 6 b y th e America n Mathematica l Society . Al l right s reserved . The America n Mathematica l Societ y retain s al l right s except thos e grante d t o th e Unite d State s Government . Printed i n th e Unite d State s o f America . @ Th e pape r use d i n thi s boo k i s acid-fre e an d fall s withi n th e guideline s established t o ensur e permanenc e an d durability . U Printe d o n recycle d paper . 10 9 8 7 6 5 4 3 2 0 1 0 0 9 9 9 8 9 7
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