Results 11 to 20 of about 1,118 (197)
Super-rigid affine Fano varieties [PDF]
Compositio Mathematica, 2018 We study a wide class of affine varieties, which we call affine Fano varieties. By analogy with birationally super-rigid Fano varieties, we define super-rigidity for affine Fano varieties, and provide many examples and non-examples of super-rigid affine Fano varieties.
Cheltsov, Ivan +2 more
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Journal für die reine und angewandte Mathematik (Crelles Journal), 2023 Abstract Prokhorov and Shramov proved that the BAB conjecture, which Birkar later proved, implies the uniform Jordan property for automorphism groups of complex Fano varieties of fixed dimension. This property in particular gives an upper bound on the size of finite semi-simple groups (i.e., those with no nontrivial normal abelian ...
Louis Esser, Lena Ji, Joaquín Moraga
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Fano varieties with many selfmaps [PDF]
Advances in Mathematics, 2008 short version, 19 pages, to appear in Advances in ...
Ivan Cheltsov, Cheltsov, Ivan
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The Manin–Peyre conjecture for smooth spherical Fano varieties of semisimple rank one
Forum of Mathematics, SigmaThe Manin–Peyre conjecture is established for a class of smooth spherical Fano varieties of semisimple rank one. This includes all smooth spherical Fano threefolds of type T as well as some higher-dimensional smooth spherical Fano varieties.
Valentin Blomer +3 more
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THE PSEUDO-INDEX OF HOROSPHERICAL FANO VARIETIES [PDF]
International Journal of Mathematics, 2010 We prove a conjecture of Bonavero et al. on the pseudo-index of smooth Fano varieties, in the special case of horospherical varieties.
Pasquier, Boris
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On subvarieties of degenerations of Fano varieties
International Journal of MathematicsThe goal of this work is to study geometric properties of geometrically irreducible subschemes on degenerations of Fano varieties (more generally, of separably rationally connected varieties). It is known that these geometrically irreducible subschemes exist when the ground field has characteristic zero or contains an algebraically closed subfield. We
Qu, Santai
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Fano varieties with conjecturally largest Fano index
International Journal of Mathematics, 2023 For Fano varieties of various singularities such as canonical and terminal, we construct examples with large Fano index growing doubly exponentially with dimension. By low-dimensional evidence, we conjecture that our examples have the largest Fano index for all dimensions.
Wang, Chengxi
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On Fano and weak Fano Bott–Samelson–Demazure–Hansen varieties
Journal of Pure and Applied Algebra, 2018 Accepted in Journal of Pure and Applied ...
B. Narasimha Chary +1 more
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Cluster varieties and toric specializations of Fano varieties
, 2023 16 pages. This is a major revision.
Corti, Alessio
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Fano varieties: positivity, K-stability and more [PDF]
, 2022 This thesis is about Fano varieties and their properties. We will determine the K-stability of certain singular del Pezzo surfaces and smooth Fano 3-folds, the existence of cylinders in singular del Pezzo surfaces, and also classify higher dimensional ...
Viswanathan, Nivedita
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