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001435112 001__ 1435112
001435112 003__ OCoLC
001435112 005__ 20230309003837.0
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001435112 008__ 210329s2021\\\\si\a\\\\ob\\\\000\0\eng\d
001435112 019__ $$a1244621036$$a1253415071
001435112 020__ $$a9789811605000$$q(electronic bk.)
001435112 020__ $$a9811605009$$q(electronic bk.)
001435112 020__ $$z9789811605017$$q(print)
001435112 020__ $$z9811605017
001435112 020__ $$z9811604991
001435112 020__ $$z9789811604997
001435112 0247_ $$a10.1007/978-981-16-0500-0$$2doi
001435112 035__ $$aSP(OCoLC)1243514520
001435112 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dEBLCP$$dGW5XE$$dOCLCO$$dOCLCF$$dVT2$$dLIP$$dUKAHL$$dOCLCQ$$dOCLCO$$dCOM$$dSFB$$dWAU$$dOCLCQ
001435112 049__ $$aISEA
001435112 050_4 $$aQA641
001435112 08204 $$a516.3/73$$223
001435112 1001_ $$aMabuchi, Toshiki,$$d1950-$$eauthor.
001435112 24510 $$aTest configurations, stabilities and canonical Kähler metrics :$$bcomplex geometry by the energy method /$$cToshiki Mabuchi.
001435112 264_1 $$aSingapore :$$bSpringer,$$c[2021]
001435112 300__ $$a1 online resource (x, 128 pages) :$$billustrations
001435112 336__ $$atext$$btxt$$2rdacontent
001435112 337__ $$acomputer$$bc$$2rdamedia
001435112 338__ $$aonline resource$$bcr$$2rdacarrier
001435112 347__ $$atext file
001435112 347__ $$bPDF
001435112 4901_ $$aSpringerBriefs in mathematics
001435112 504__ $$aIncludes bibliographical references.
001435112 5050_ $$aIntroduction -- The Donaldson-Futaki invariant -- Canonical Kähler metrics -- Norms for test configurations -- Stabilities for polarized algebraic manifolds -- The Yau-Tian-Donaldson conjecture -- Stability theorem -- Existence problem -- Canonical Kähler metrics on Fano manifolds -- Geometry of pseudo-normed graded algebras -- Solutions.
001435112 506__ $$aAccess limited to authorized users.
001435112 520__ $$aThe Yau-Tian-Donaldson conjecture for anti-canonical polarization was recently solved affirmatively by Chen-Donaldson-Sun and Tian. However, this conjecture is still open for general polarizations or more generally in extremal Kähler cases. In this book, the unsolved cases of the conjecture will be discussed. It will be shown that the problem is closely related to the geometry of moduli spaces of test configurations for polarized algebraic manifolds. Another important tool in our approach is the Chow norm introduced by Zhang. This is closely related to Ding's functional, and plays a crucial role in our differential geometric study of stability. By discussing the Chow norm from various points of view, we shall make a systematic study of the existence problem of extremal Kähler metrics.
001435112 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed April 19, 2021).
001435112 650_0 $$aGeometry, Differential.
001435112 650_0 $$aManifolds (Mathematics)
001435112 650_0 $$aInvariants.
001435112 650_0 $$aModuli theory.
001435112 650_6 $$aGéométrie différentielle.
001435112 650_6 $$aVariétés (Mathématiques)
001435112 650_6 $$aInvariants.
001435112 650_6 $$aThéorie des modules.
001435112 655_7 $$aLlibres electrònics.$$2thub
001435112 655_0 $$aElectronic books.
001435112 77608 $$iPrint version: $$z9811604991$$z9789811604997$$w(OCoLC)1232272346
001435112 830_0 $$aSpringerBriefs in mathematics.
001435112 852__ $$bebk
001435112 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-16-0500-0$$zOnline Access$$91397441.1
001435112 909CO $$ooai:library.usi.edu:1435112$$pGLOBAL_SET
001435112 980__ $$aBIB
001435112 980__ $$aEBOOK
001435112 982__ $$aEbook
001435112 983__ $$aOnline
001435112 994__ $$a92$$bISE