000 02450nam a22003378i 4500
001 CR9780511662638
003 UkCbUP
005 20200124160241.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 091215s1990||||enk o ||1 0|eng|d
020 _a9780511662638 (ebook)
020 _z9780521392020 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA564
_b.F83 1990
082 0 4 _a516.353
_222
100 1 _aFujita, Takao,
_eauthor.
245 1 0 _aClassification theories of polarized varieties /
_cTakao Fujita.
264 1 _aCambridge :
_bCambridge University Press,
_c1990.
300 _a1 online resource (xiv, 205 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society lecture note series ;
_v155
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aA polarised variety is a modern generalization of the notion of a variety in classical algebraic geometry. It consists of a pair: the algebraic variety itself, together with an ample line bundle on it. Using techniques from abstract algebraic geometry that have been developed over recent decades, Professor Fujita develops classification theories of such pairs using invariants that are polarised higher-dimensional versions of the genus of algebraic curves. The heart of the book is the theory of D-genus and sectional genus developed by the author, but numerous related topics are discussed or surveyed. Proofs are given in full in the central part of the development, but background and technical results are sometimes just sketched when the details are not essential for understanding the key ideas. Readers are assumed to have some background in algebraic geometry, including sheaf cohomology, and for them this work will provide an illustration of the power of modern abstract techniques applied to concrete geometric problems. Thus the book helps the reader not only to understand about classical objects but also modern methods, and so it will be useful not only for experts but also non-specialists and graduate students.
650 0 _aAlgebraic varieties
_xClassification theory.
776 0 8 _iPrint version:
_z9780521392020
830 0 _aLondon Mathematical Society lecture note series ;
_v155.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511662638
999 _c518552
_d518550