Bounded family of varieties
Webgocphim.net WebIn algebraic geometry, a Fano variety, introduced by Gino Fano in (Fano 1934, 1942), is a complete variety X whose anticanonical bundle K X * is ample.In this definition, one could assume that X is smooth over a field, but the minimal model program has also led to the study of Fano varieties with various types of singularities, such as terminal or klt …
Bounded family of varieties
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WebMay 8, 2024 · Boundedness of Q-Fano varieties with degrees and alpha-invariants bounded from below. We show that $\mathbb {Q}$-Fano varieties of fixed dimension with anti … Webvarieties with ǫ-lc singularities forms a bounded family. During the proof, one important step is to establish the upper bound for the anti-canonical volume (−KX)d for an ǫ-lc Fano variety X of dimension d ([3, Theorem 1.6]). Date: April 14, 2024. 2024 Mathematics Subject Classification. 14J45, 14J30, 14J17. Key words and phrases.
WebDec 2, 2014 · The moduli space of stable varieties of general type. 2. ... [12, 1.6] proves that F is a bounded family provided if in addition. we assume that the total log discrepancy of … WebMar 6, 2024 · In algebraic geometry, a Fano variety, introduced by Gino Fano in (Fano 1934, 1942), is a complete variety X whose anticanonical bundle K X * is ample.In this definition, one could assume that X is smooth over a field, but the minimal model program has also led to the study of Fano varieties with various types of singularities, such as terminal or klt …
WebOct 9, 2024 · Boundedness of Q-Fano varieties with degrees and alpha-invariants bounded from below Chen Jiang Mathematics 2024 We show that $\mathbb {Q}$-Fano varieties of fixed dimension with anti-canonical degrees and alpha-invariants bounded from below form a bounded family. As a corollary, K-semistable $\mathbb {Q}$-Fano… Expand 38 PDF WebWe say that a set of varieties S lives in a bounded family if there exists a projective morphism X → T between varieties of finite type, such that for any X ∈ S, there exists a closed point t ∈ T, such that its fibre X t is isomorphic to X.
WebSuch varieties form a bounded family Lemma IT X B be a bounded family of prog varieties of generaltype Then there is an R 70 sit if Y is a resolution of any fiber of IT Then KY E R Pf …
WebThey classified all but a bounded family of Picard number one log Del Pezzo surfaces. Although there are very many log Del Pezzo surfaces up to isomorphism, all of them are rational. Thus the family of log Del Pezzo surfaces is birationally bounded and in fact birationally bounded is considerably weaker than bounded. new common first experience programWebbelongs to a bounded family (see Theorem1.5). In particular, if Xis a klt Calabi-Yau variety of dimension dand Nis a nef and big integral divisor with vol(N) v, then Xbelongs to a bounded family (see Corollary1.6). In the Calabi-Yau case we can further prove boundedness in the semi-log canonical (slc) case. internet of things and big dataWebApr 11, 2024 · Furthermore, we prove that there is a bounded family of morphisms f which together account for all such components M. These results verify the first part of Batyrev's heuristics for Geometric ... internet of things and roboticsWebFeb 13, 2024 · Using the above, we show boundedness of polarised varieties under some natural conditions. We extend these to boundedness of semi-log canonical Calabi-Yau pairs polarised by effective ample Weil... new common groundWebApr 19, 2015 · $\begingroup$ Bounded family is a technical term (not the same as the usual meaning of bounded) ... Quick question about a kind of morphism between algebraic varieties. 1. Help to understand this proof in Fulton's book. 1. Hartshorne III Exercise 9.5:What is the family of cones of a family of varieties? internet of things and law enforcementWebBOUNDEDNESS OF MODULI OF VARIETIES OF GENERAL TYPE CHRISTOPHER D. HACON, JAMES MCKERNAN, AND CHENYANG XU Abstract. We show that the family of semi log … internet of things and cyber securityWebSingularities of linear systems and boundedness of Fano varieties Pages 347-405 from Volume 193 (2024), Issue 2 by Caucher Birkar Abstract We study log canonical thresholds (also called global log canonical threshold or $\alpha … new common inspection framework