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Bounded family of varieties

WebA group G is called boundedly generated if there is a finite family C 1, …, C M of not necessarily distinct cyclic subgroups such that G = C 1 …C M as a set. Properties. … 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 …

Birational boundedness of rationally connected Calabi–Yau 3-folds

WebMar 25, 2024 · 1.1 Minkowski’s bound for polynomial automorphisms. ... and Birkar in for birational transformations of any varieties and improvements were made for rationally connected varieties in . These results are deeper than our Theorem 1. ... {p^n}) = (\textbf {Z} / p^n \textbf {Z})^\times $ ⁠, we have a compatible family of homomorphisms ... 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 … four seasons chandelier bar https://amgsgz.com

Boundedness of Q-Fano varieties with degrees and alpha …

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 … 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... 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 discount depot 75th ave

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Category:arXiv:2304.06347v1 [math.AG] 13 Apr 2024

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Bounded family of varieties

Boundedness of Pluri Maps - UCLA Mathematics

WebOct 25, 2024 · Birkar recently proved that Fano varieties with bounded singularities belong to finitely many algebraic families (BAB Conjecture). We show that rationally connected … 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.

Bounded family of varieties

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WebIn 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 … WebJan 22, 2024 · 1 Introduction. A fundamental problem in algebraic geometry is to classify smooth projective varieties. Since every smooth projective variety is intrinsically equipped …

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 … WebApr 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 ...

WebJan 19, 2003 · Boundedness of spherical Fano varieties V. Alexeev, M. Brion Published 19 January 2003 Mathematics arXiv: Algebraic Geometry We prove that for any e>0, there exists only finitely many e-log terminal spherical Fano varieties of fixed dimension. 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 …

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 ... four seasons charlottesville virginiaWebMay 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 … discount department stores online laytonWebOct 20, 2024 · After surveying some important consequences of the property of bounded generation (BG) dealing with SS-rigidity, the congruence subgroup problem, etc., we will … discount den with frontier airlinesWebBOUNDEDNESS OF VARIETIES OF LOG GENERAL TYPE CHRISTOPHER D. HACON, JAMES MCKERNAN, AND CHENYANG XU Abstract. We survey recent results on the boundedness … four seasons cheminWebOct 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 four seasons chendolWebvarieties 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. discount depot oshkosh wiWebSingularities 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 … four seasons cherubs garden statues