000 02756nam a22003975i 4500
001 309585
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008 150903s2007 sz | o |||| 0|eng d
020 _a9783764381158
_99783764381158
024 7 _a10.1007/9783764381158
_2doi
035 _avtls000362858
039 9 _a201509030649
_bVLOAD
_c201405070335
_dVLOAD
_y201402211133
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA331.7
100 1 _aMa, Xiaonan.
_eautor
_9349942
245 1 0 _aHolomorphic Morse Inequalities and Bergman Kernels /
_cby Xiaonan Ma, George Marinescu.
246 3 _aWinner of the Ferran Sunyer i Balaguer Prize 2006
264 1 _aBasel :
_bBirkhäuser Basel,
_c2007.
300 _axiii, 422 páginas
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
490 0 _aProgress in Mathematics ;
_v254
500 _aSpringer eBooks
505 0 _aDemailly’s Holomorphic Morse Inequalities -- Characterization of Moishezon Manifolds -- Holomorphic Morse Inequalities on Non-compact Manifolds -- Asymptotic Expansion of the Bergman Kernel -- Kodaira Map -- Bergman Kernel on Non-compact Manifolds -- Toeplitz Operators -- Bergman Kernels on Symplectic Manifolds.
520 _aThis book gives for the first time a self-contained and unified approach to holomorphic Morse inequalities and the asymptotic expansion of the Bergman kernel on manifolds by using the heat kernel, and presents also various applications. The main analytic tool is the analytic localization technique in local index theory developed by Bismut-Lebeau. The book includes the most recent results in the field and therefore opens perspectives on several active areas of research in complex, Kähler and symplectic geometry. A large number of applications are included, e.g., an analytic proof of the Kodaira embedding theorem, a solution of the Grauert-Riemenschneider and Shiffman conjectures, a compactification of complete Kähler manifolds of pinched negative curvature, the Berezin-Toeplitz quantization, weak Lefschetz theorems, and the asymptotics of the Ray-Singer analytic torsion.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700 1 _aMarinescu, George.
_eautor
_9349943
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9783764380960
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/978-3-7643-8115-8
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942 _c14
999 _c309585
_d309585