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The Lefschetz Properties
This is a monograph which collects basic techniques, major results and interesting applications of Lefschetz properties of Artinian algebras. The origin of the Lefschetz properties of Artinian algebras is the Hard Lefschetz Theorem, which is a major result in algebraic geometry. However, for the last two decades, numerous applications of the Lefschetz properties to other areas of mathematics have been found, as a result of which the theory of the Lefschetz properties is now of great interest in its own right. It also has ties to other areas, including combinatorics, algebraic geometry, algebraic topology, commutative algebra and representation theory. The connections between the Lefschetz property and other areas of mathematics are not only diverse, but sometimes quite surprising, e.g. its ties to the Schur-Weyl duality. This is the first book solely devoted to the Lefschetz properties and is the first attempt to treat those properties systematically.
Operative Treatment of Pelvic Tumors
This book presents our experience in the operative treatment of bone and soft-tissue tumors arising in and around the pelvis, from 1970 to 1999 in the Department of Orthopedic Surgery at the Niigata University Medical Hospital. Histological diagnoses included both benign and malignant tumors. Surgical plan ning was difficult to perform in our early experience in operative treatment, when only angiography and barium enemas were in use. In the meantime, computed tomog raphy scanning and magnetic resonance imaging became available. Subsequent improvement in the quality of these images made three-dimensional surgical plan ning for pelvic tumor removal much easier. Such progress in diagnostic met...
AHA Scientific Sessions 2016: Program Information
The American Heart Association’s Scientific Sessions 2016 is bringing big science, big technology, and big networking opportunities to New Orleans, Louisiana this November. This event features five days of the best in science and cardiovascular clinical practice covering all aspects of basic, clinical, population and translational content.
Lonely Planet Pocket Hamburg
Lonely Planets Pocket Hamburg is your guide to the citys best experiences and local life - neighbourhood by neighbourhood. Visit an icon of architecture at Elbphilharmonie, get medieval at Rathaus and start your Sunday like a local at Fischmarkt; all with your trusted travel companion. Uncover the best of Hamburg and make the most of your trip! Inside Lonely Planets Pocket Hamburg: Up-to-date information - all businesses were rechecked before publication to ensure they are still open after 2020s COVID-19 outbreak Full-colour maps and travel photography throughout Highlights and itineraries help you tailor a trip to your personal needs and interests Insider tips to save time and money...
