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CiNii Research
Birational Geometry of Algebraic Varieties
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要約等:
- <jats:p>One of the major discoveries of the last two decades of the twentieth century in algebraic geometry is the realization that the theory of mini...
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デジタル
- 資料種別
- 記事
- 出版年月日等
- 1998-09-17
- 出版年(W3CDTF)
- 1998-09-17
- 巻号年月日等(掲載誌)
- 134
- 掲載巻
- 134
- 掲載年月日(W3CDTF)
- 1998-09-17
- 出版事項(掲載誌)
- Cambridge University Press
- 対象利用者
- 一般
- DOI
- 10.1017/cbo9780511662560
- 作成日(W3CDTF)
- 2010-04-05
- 著作権情報
- https://www.cambridge.org/core/terms
- 参照
- Frobenius splitting of Schubert varieties of semi-infinite flag manifoldsIdeal-adic semi-continuity problem for minimal log discrepanciesPerverse coherent sheaves on blowup, III: Blow-up formula from wall-crossingOn canonical bundle formulaS and subadjunctionsOn birational geometry of minimal threefolds with numerically trivial canonical divisorsOn images of weak Fano manifoldsFano n-folds with nef tangent bundle and Picard number greater than $$n-5$$ n - 5Smooth rational surfaces violating Kawamata–Viehweg vanishingKollár’s injectivity theorem for globally F-regular varietiesUpper bound of the multiplicity of a Du Bois singularityPisot Units, Salem Numbers, and Higher Dimensional Projective Manifolds with Primitive Automorphisms of Positive EntropyON PROJECTIVE MANIFOLDS SWEPT OUT BY CUBIC VARIETIESBOUNDING THE VOLUMES OF SINGULAR WEAK LOG DEL PEZZO SURFACESRemarks on Log Calabi-Yau Structure of Varieties Admitting Polarized EndomorphismsOn log surfacesOn log K-stability for asymptotically log Fano varietiesAbundance theorem for surfaces over imperfect fieldsK-stability of log Fano hyperplane arrangementsBounds of the multiplicity of abelian quotient complete intersection singularitiesAutomorphism Groups of Certain Enriques SurfacesPathologies and liftability of Du Val del Pezzo surfaces in positive characteristicCompletions of affine spaces into Mori fiber spaces with non‐rational fibersThe weight reduction of mod p Siegel modular forms for $$GSp_4$$ and theta operatorsMukai pairs and simple K-equivalenceMinimal model program for semi-stable threefolds in mixed characteristicTropical Geometric Compactification of Moduli, II: <i>A</i> <i>g</i> Case and Holomorphic LimitsSurfaces of globally F-regular and F-split typeCylinders in del Pezzo fibrationsArithmetic and dynamical degrees of self-morphisms of semi-abelian varietiesA remark on higher syzygies on abelian surfacesNon-vanishing theorem for log canonical pairsUniform bounds for strongly 𝐹-regular surfacesK-semistable Fano manifolds with the smallest alpha invariantStable pair invariants on Calabi–Yau threefolds containing ℙ2Fano manifolds which are not slope stable along curvesOn log canonical rational singularitiesOn a Generalization of the Mukai Conjecture for Fano FourfoldsDual Complex of Log Fano Pairs and Its Application to Witt Vector CohomologyOn birational rigidity of singular del Pezzo fibrations of degree 1Relative semi‐ampleness in positive characteristicOn ruled surfaces with big anti-canonical divisor and numerically trivial divisors on weak log Fano surfacesCampana points of bounded height on vector group compactificationsKawaguchi–Silverman conjecture for endomorphisms on rationally connected varieties admitting an int-amplified endomorphismZariski Density of Points with Maximal Arithmetic DegreeFano manifolds with many free divisorsStability of test ideals of divisors with small multiplicityK3 surfaces and log del Pezzo surfaces of index threeOn the -purity of isolated log canonical singularitiesBirational Mori fiber structures of ℚ-Fano 3-fold weighted complete intersections, IIOn the basepoint-free theorem for log canonical threefolds over the algebraic closure of a finite fieldA Witt Nadel vanishing theorem for threefoldsSingularities of Non-ℚ-Gorenstein Varieties Admitting a Polarized EndomorphismInt-amplified Endomorphisms on Normal Projective SurfacesInjectivity Theorems with Multiplier Ideal Sheaves and Their ApplicationsNakai–Moishezon ampleness criterion for real line bundlesMINIMAL MODEL THEORY FOR LOG SURFACES IN FUJIKI’S CLASSON DEL PEZZO FIBRATIONS IN POSITIVE CHARACTERISTICUniversal abelian variety and Siegel modular formsNon-density of Points of Small Arithmetic DegreesNon-vanishing theorem for generalized log canonical pairs with a polarizationPolarized endomorphisms of complex normal varietiesPositivity of twisted relative pluricanonical bundles and their direct imagesAbundance theorem for numerically trivial log canonical divisors of semi-log canonical pairsLog pluricanonical representations and the abundance conjectureDeformations of $$\mathbb{A}^{1}$$ -FibrationsFano threefolds with canonical Gorenstein singularities and big degreeA characterization of ordinary abelian varieties by the Frobenius push-forward of the structure sheafArithmetic degrees for dynamical systems over function fields of characteristic zeroAround the Mukai conjecture for Fano manifoldsA Gorenstein Criterion for Strongly<i>F</i>-Regular and Log Terminal SingularitiesKlt del Pezzo surfaces which are not Globally F-splitComparing multiplier ideals to test ideals on numerically ℚ‐Gorenstein varietiesBehavior of canonical divisors under purely inseparable base changesKodaira vanishing theorem for log-canonical and semi-log-canonical pairsNef anti-canonical divisors and rationally connected fibrationsRelations between two log minimal models of log canonical pairsOn minimal model theory for log abundant lc pairsThe universal covers of hypertoric varieties and Bogomolov’s decompositionCharacterization of two-dimensional semi-log canonical hypersurfaces in arbitrary characteristicNormal hyperplane sections of normal schemes in mixed characteristicGorenstein modifications and \mathds{𝑄}-Gorenstein ringsRemarks on special kinds of the relative log minimal model programThe generalized Mukai conjecture for toric log Fano pairsUniform K-stability and plt blowups of log Fano pairsA valuative criterion for uniform K-stability of ℚ-Fano varietiesON THE DEFINING EQUATIONS OF HYPERSURFACE PURELY ELLIPTIC SINGULARITIESEQUIVARIANT COMPLETIONS OF TORIC CONTRACTION MORPHISMSLog canonical algebras and modulesOn higher dimensional extremal varieties of general typeClassification of log del Pezzo surfaces of index threeNOTES ON TORIC VARIETIES FROM MORI THEORETIC VIEWPOINTLOG DEL PEZZO SURFACES WITH LARGE VOLUMESA NOTE ON NON-NEGATIVITY OF THE ith Δ-GENUS OF QUASI-POLARIZED VARIETIESOn generalized minimal log discrepancySURFACES OF GLOBALLY $F$-REGULAR TYPE ARE OF FANO TYPEON THE K-STABILITY OF FANO VARIETIES AND ANTICANONICAL DIVISORSOn quasi-log schemesLog Iitaka conjecture for abundant log canonical fibrations
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