Topics in Cohomological Studies of Algebraic Varieties

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E Book

Topics in Cohomological Studies of Algebraic Varieties

Pragacz, Piotr. - Nama Orang;

Characteristic Classes of Singular Varieties -- Lectures on the Geometry of Flag Varieties -- Combinatorial K-theory -- Morse Functions and Cohomology of Homogeneous Spaces -- Integrable Systems and Gromov-Witten Theory -- Multiplying Schubert Classes -- Lectures on Characteristic Classes of Constructible Functions -- Algebraic K-theory of Schemes -- Gromov-Witten Invariants and Quantum Cohomology of Grassmannians.The articles in this volume study various cohomological aspects of algebraic varieties: - characteristic classes of singular varieties; - geometry of flag varieties; - cohomological computations for homogeneous spaces; - K-theory of algebraic varieties; - quantum cohomology and Gromov-Witten theory. The main purpose is to give comprehensive introductions to the above topics through a series of "friendly" texts starting from a very elementary level and ending with the discussion of current research. In the articles, the reader will find classical results and methods as well as new ones. Numerous examples will help to understand the mysteries of the cohomological theories presented. The book will be a useful guide to research in the above-mentioned areas. It is adressed to researchers and graduate students in algebraic geometry, algebraic topology, and singularity theory, as well as to mathematicians interested in homogeneous varieties and symmetric functions. Most of the material exposed in the volume has not appeared in books before. Contributors: Paolo Aluffi Michel Brion Anders Skovsted Buch Haibao Duan Ali Ulas Ozgur Kisisel Piotr Pragacz Jörg Schürmann Marek Szyjewski Harry Tamvakis.

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9783764373429

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Informasi Detail

Judul Seri: -
No. Panggil: -
Penerbit: Basel : Birkhauser., 2005
Deskripsi Fisik: XXVIII, 300 p.online resource.
Bahasa: English
ISBN/ISSN: 9783764373429
Klasifikasi: 516
Tipe Isi: -
Tipe Media: -
Tipe Pembawa: -
Edisi: 1st ed. 2005.
Subjek: Algebraic geometry.
Geometry.
Algebraic topology.
Info Detail Spesifik: -
Pernyataan Tanggungjawab: Piotr Pragacz.

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