Cox Rings

Ivan Arzhantsev · Ulrich Derenthal · Jürgen Hausen · Antonio Laface

8/2014 · Cambridge Studies in Advanced Mathematics 144. kniha · Cambridge University Press

E‑kniha

539

Počet strán

Hodnotenia a recenzie nie sú overené Ďalšie informácie

Táto e‑kniha

Cox rings are significant global invariants of algebraic varieties, naturally generalizing homogeneous coordinate rings of projective spaces. This book provides a largely self-contained introduction to Cox rings, with a particular focus on concrete aspects of the theory. Besides the rigorous presentation of the basic concepts, other central topics include the case of finitely generated Cox rings and its relation to toric geometry; various classes of varieties with group actions; the surface case; and applications in arithmetic problems, in particular Manin's conjecture. The introductory chapters require only basic knowledge in algebraic geometry. The more advanced chapters also touch on algebraic groups, surface theory, and arithmetic geometry. Each chapter ends with exercises and problems. These comprise mini-tutorials and examples complementing the text, guided exercises for topics not discussed in the text, and, finally, several open problems of varying difficulty.

O autorovi

Ivan Arzhantsev received his doctoral degree in 1998 from Lomonosov Moscow State University and is a professor in its department of higher algebra. His research areas are algebraic geometry, algebraic groups and invariant theory.

Ulrich Derenthal received his doctoral degree in 2006 from Universität Göttingen. He is a professor of mathematics at Ludwig-Maximilians-Universität München. His research interests include arithmetic geometry and number theory.

Jürgen Hausen received his doctoral degree in 1995 from Universität Konstanz. He is a professor of mathematics at Eberhard-Karls-Universität Tübingen. His field of research is algebraic geometry, in particular algebraic transformation groups, torus actions, geometric invariant theory and combinatorial methods.

Antonio Laface received his doctoral degree in 2000 from Università degli Studi di Milano. He is an associate professor of mathematics at Universidad de Concepción. His field of research is algebraic geometry, more precisely linear systems and algebraic surfaces and their Cox rings.

Ohodnoťte túto elektronickú knihu

Povedzte nám svoj názor.

Informácie o dostupnosti

Smartfóny a tablety

Nainštalujte si aplikáciu Knihy Google Play pre Android a iPad/iPhone. Automaticky sa synchronizuje s vaším účtom a umožňuje čítať online aj offline, nech už ste kdekoľvek.

Laptopy a počítače

Audioknihy zakúpené v službe Google Play môžete počúvať prostredníctvom webového prehliadača v počítači.

Čítačky elektronických kníh a ďalšie zariadenia

Ak chcete tento obsah čítať v zariadeniach využívajúcich elektronický atrament, ako sú čítačky e‑kníh Kobo, musíte stiahnuť príslušný súbor a preniesť ho do svojho zariadenia. Pri prenose súborov do podporovaných čítačiek e‑kníh postupujte podľa podrobných pokynov v centre pomoci.

Nahlásiť nelegálny obsah