Bounded family of varieties
WebN2 - We show that the family of semi log canonical pairs with ample log canonical class and with fixed volume is bounded. AB - We show that the family of semi log canonical pairs … WebApr 30, 2024 · In this paper, we prove the boundedness of foliated surfaces \((X,{{\mathscr {F}}})\) which are minimal partial du Val resolutions of canonical models \((X_c,{{\mathscr {F}}}_c)\) of general type. For applications, we show the boundedness of non-cusp singularities on canonical models of foliated surfaces of general type and the effective …
Bounded family of varieties
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WebFeb 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... 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 …
WebWe show that the family of semi log canonical pairs with ample log canonical class and with fixed volume is bounded. All Science Journal Classification (ASJC) codes Mathematics (all) Applied Mathematics Keywords Abundance Boundedness General type Minimal model program Moduli WebFeb 12, 2024 · A collection of varieties D is said to be bounded (resp., birationally bounded, or bounded in codimension one) if there exists h: Z → S a projective morphism of …
WebOct 25, 2024 · It is expected that such varieties satisfy certain finiteness. Birkar recently proved that Fano varieties with bounded singularities belong to finitely many algebraic families (BAB Conjecture). We show that rationally connected klt Calabi-Yau 3-folds form a birationally bounded family. This is a joint work with W. Chen, G. Di Cerbo, C. Jiang ... WebBOUNDEDNESS OF MODULI OF VARIETIES OF GENERAL TYPE CHRISTOPHER D. HACON, JAMES MCKERNAN, AND CHENYANG XU Abstract. We show that the family of semi log …
WebMay 8, 2024 · We show that -Fano varieties of fixed dimension with anti-canonical degrees and alpha-invariants bounded from below form a bounded family. As a corollary, K …
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. colorful highlighter marker pen factoriesWebSuch 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 … dr shirley jackson diedWebApr 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 ... dr shirley jackson accomplishmentsWebWe 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. colorful highlighter makeupWebIn any given dimension, there is a bounded family of smooth Fano varieties [22]. This is proved using geometry of rational curves. Unfortunately, this method does not work when … dr. shirley jackson inventedWebIn 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 … colorful hemp shower curtainWebbelongs 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. colorful highlighters