A surface birational to an Enriques surface with non-finitely generated automorphism group
, 2019 We will show that there is a smooth complex projective surface, birational to some Enriques surface, such that the automorphism group is discrete but not finitely generated.
Keum, JongHae, Oguiso, Keiji
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Hypergeometric decomposition of symmetric K3 quartic pencils. [PDF]
Res Math Sci, 2020 Doran CF +5 more
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Finite subgroups of the birational automorphism group are `almost' nilpotent
, 2019 We call a group $G$ nilpotently Jordan of class at most $c$ $(c\in\mathbb{N})$ if there exists a constant $J\in\mathbb{Z}^+$ such that every finite subgroup $H\leqq G$ contains a nilpotent subgroup $K\leqq H$ of class at most $c$ and index at most $J$.
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Categorical dimension of birational automorphisms and filtrations of Cremona groups
, 2017 V4: final version, to appear on the Journal of the Mathematical Society of ...
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Birational automorphisms of algebraic varieties with a pencil of cubic surfaces
, 1996 29 pages, latex, to appear in ...
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Constructions and classifications of projective Poisson varieties. [PDF]
Lett Math Phys, 2018 Pym B.
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Geometric description of a discrete power function associated with the sixth Painlevé equation. [PDF]
Proc Math Phys Eng Sci, 2017 Joshi N +4 more
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Birational Automorphism Groups of Severi–Brauer Surfaces Over the Field of Rational Numbers
International Mathematics Research NoticesAbstract We prove that the only non-trivial finite subgroups of birational automorphism group of non-trivial Severi–Brauer surfaces over the field of rational numbers are $\mathbb{Z}/3\mathbb{Z}$ and $(\mathbb{Z}/3\mathbb{Z})^{2}.$ Moreover, we show that $(\mathbb{Z}/3\mathbb{Z})^{2}$ is contained in $\textrm{Bir}(V)$ for any Severi ...
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ON SOME PROBLEMS IN ABSTRACT ALGEBRAIC GEOMETRY. [PDF]
Proc Natl Acad Sci U S A, 1955 Igusa J.
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Ruijsenaars wavefunctions as modular group matrix coefficients. [PDF]
Lett Math PhysDi Francesco P +4 more
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