Read e-book online The Lefschetz Properties (Lecture Notes in Mathematics) PDF

By Tadahito Harima,Toshiaki Maeno,Hideaki Morita,Yasuhide Numata,Akihito Wachi,Junzo Watanabe

ISBN-10: 3642382053

ISBN-13: 9783642382055

this can be a monograph which collects simple suggestions, significant effects and engaging purposes of Lefschetz homes of Artinian algebras. The starting place of the Lefschetz houses of Artinian algebras is the difficult Lefschetz Theorem, that's an incredible lead to algebraic geometry. besides the fact that, for the final twenty years, a variety of purposes of the Lefschetz homes to different parts of arithmetic were came upon, because of which the speculation of the Lefschetz homes is now of serious curiosity in its personal correct. It additionally has ties to different parts, together with combinatorics, algebraic geometry, algebraic topology, commutative algebra and illustration concept. The connections among the Lefschetz estate and different components of arithmetic are usually not simply diversified, yet occasionally really astounding, e.g. its ties to the Schur-Weyl duality. this can be the 1st booklet completely dedicated to the Lefschetz homes and is the 1st try to deal with these homes systematically.

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The Lefschetz Properties (Lecture Notes in Mathematics) by Tadahito Harima,Toshiaki Maeno,Hideaki Morita,Yasuhide Numata,Akihito Wachi,Junzo Watanabe


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