000 02782nam a22004695i 4500
001 978-0-8176-4405-5
003 DE-He213
005 20161121230927.0
007 cr nn 008mamaa
008 100301s2005 xxu| s |||| 0|eng d
020 _a9780817644055
_9978-0-8176-4405-5
024 7 _a10.1007/b137486
_2doi
050 4 _aQA564-609
072 7 _aPBMW
_2bicssc
072 7 _aMAT012010
_2bisacsh
082 0 4 _a516.35
_223
100 1 _aBrion, Michel.
_eauthor.
245 1 0 _aFrobenius Splitting Methods in Geometry and Representation Theory
_h[electronic resource] /
_cby Michel Brion, Shrawan Kumar.
264 1 _aBoston, MA :
_bBirkhäuser Boston,
_c2005.
300 _aX, 250 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProgress in Mathematics ;
_v231
505 0 _aFrobenius Splitting: General Theory -- Frobenius Splitting of Schubert Varieties -- Cohomology and Geometry of Schubert Varieties -- Canonical Splitting and Good Filtration -- Cotangent Bundles of Flag Varieties -- Equivariant Embeddings of Reductive Groups -- Hilbert Schemes of Points on Surfaces.
520 _aThe theory of Frobenius splittings has made a significant impact in the study of the geometry of flag varieties and representation theory. This work, unique in book literature, systematically develops the theory and covers all its major developments. Key features: * Concise, efficient exposition unfolds from basic introductory material on Frobenius splittings—definitions, properties and examples—to cutting edge research * Studies in detail the geometry of Schubert varieties, their syzygies, equivariant embeddings of reductive groups, Hilbert Schemes, canonical splittings, good filtrations, among other topics * Applies Frobenius splitting methods to algebraic geometry and various problems in representation theory * Many examples, exercises, and open problems suggested throughout * Comprehensive bibliography and index This book will be an excellent resource for mathematicians and graduate students in algebraic geometry and representation theory of algebraic groups.
650 0 _aMathematics.
650 0 _aAlgebraic geometry.
650 0 _aGroup theory.
650 1 4 _aMathematics.
650 2 4 _aAlgebraic Geometry.
650 2 4 _aGroup Theory and Generalizations.
700 1 _aKumar, Shrawan.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817641917
830 0 _aProgress in Mathematics ;
_v231
856 4 0 _uhttp://dx.doi.org/10.1007/b137486
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c506034
_d506034