Results 31 to 40 of about 7,542 (104)
Degree growth of polynomial automorphisms and birational maps: some examples [PDF]
European Journal of Mathematics, 2017 We provide the existence of new degree growths in the context of polynomial automorphisms of $\mathbb{C}^k$: if $k$ is an integer $\geq 3$, then for any $\ell\leq \left[\frac{k-1}{2}\right]$ there exist polynomial automorphisms $f$ of $\mathbb{C}^k$ such that $\mathrm{deg}\, f^n\sim n^\ell$.
openaire +4 more sources
A note on automorphisms and birational transformations of holomorphic symplectic manifolds [PDF]
Proceedings of the American Mathematical Society, 2012 New version in english. New title and a new result (see updated abstract).
Boissière, Samuel, Sarti, Alessandra
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Parity of ranks of Jacobians of curves
Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.Abstract We investigate Selmer groups of Jacobians of curves that admit an action of a non‐trivial group of automorphisms, and give applications to the study of the parity of Selmer ranks. Under the Shafarevich–Tate conjecture, we give an expression for the parity of the Mordell–Weil rank of an arbitrary Jacobian in terms of purely local invariants ...
Vladimir Dokchitser +3 more
wiley +1 more source
K‐stable Fano threefolds of rank 2 and degree 28
Journal of the London Mathematical Society, Volume 112, Issue 2, August 2025.Abstract Moduli spaces of Fano varieties have historically been difficult to construct. However, recent work has shown that smooth K‐polystable Fano varieties of fixed dimension and volume can be parametrised by a quasi‐projective moduli space. In this paper, we prove that all smooth Fano threefolds with Picard rank 2 and degree 28 are K‐polystable ...
Joseph Malbon
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On the birational geometry of the universal Picard variety
, 2011 We compute the Kodaira dimension of the universal Picard variety P_{d,g} parameterizing line bundles of degree d on curves of genus g under the assumption that (d-g+1,2g-2)=1.
Bini, Gilberto +2 more
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General infinitesimal variations of the Hodge structure of ample curves in surfaces
Mathematische Nachrichten, Volume 298, Issue 7, Page 2282-2308, July 2025.Abstract Given a smooth projective complex curve inside a smooth projective surface, one can ask how its Hodge structure varies when the curve moves inside the surface. In this paper, we develop a general theory to study the infinitesimal version of this question in the case of ample curves.
Víctor González‐Alonso, Sara Torelli
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Equivariant geometry of singular cubic threefolds, II
Journal of the London Mathematical Society, Volume 112, Issue 1, July 2025.Abstract We study linearizability of actions of finite groups on cubic threefolds with nonnodal isolated singularities.
Ivan Cheltsov +3 more
wiley +1 more source
The 2‐divisibility of divisors on K3 surfaces in characteristic 2
Mathematische Nachrichten, Volume 298, Issue 6, Page 1964-1988, June 2025.Abstract We show that K3 surfaces in characteristic 2 can admit sets of n$n$ disjoint smooth rational curves whose sum is divisible by 2 in the Picard group, for each n=8,12,16,20$n=8,12,16,20$. More precisely, all values occur on supersingular K3 surfaces, with exceptions only at Artin invariants 1 and 10, while on K3 surfaces of finite height, only n=
Toshiyuki Katsura +2 more
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Jacobian elliptic fibrations on K3s with a non‐symplectic automorphism of order 3
Mathematische Nachrichten, Volume 298, Issue 5, Page 1758-1788, May 2025.Abstract Let X$X$ be a K3 surface admitting a non‐symplectic automorphism σ$\sigma$ of order 3. Building on work by Garbagnati and Salgado, we classify the Jacobian elliptic fibrations on X$X$ with respect to the action of σ$\sigma$ on their fibers. If the fiber class of a Jacobian elliptic fibration on NS(X)$\operatorname{NS}(X)$ is fixed by σ$\sigma$,
Felipe Zingali Meira
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On the Cone conjecture for Calabi-Yau manifolds with Picard number two
, 2013 Following a recent work of Oguiso, we calculate explicitly the groups of automorphisms and birational automorphisms on a Calabi-Yau manifold with Picard number two. When the group of birational automorphisms is infinite, we prove that the Cone conjecture
Lazić, Vladimir, Peternell, Thomas
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