Results 1 to 10 of about 7,542 (104)

On the birational automorphisms of varieties of general type [PDF]

Annals of Mathematics, 2012
We show that the number of birational automorphisms of a variety of general type X is bounded by c \cdot \vol(X,K_X), where c is a constant which only depends on the dimension of ...
Andreotti, Ballico, Berndtsson, Catanese, Chenyang Xu, Christopher Hacon, Corti, Fulton, Gorenstein, Grothendieck, James McKernan, Kollár, Lazarsfeld, Matsumura, Nakayama, Stichtenoth, Tsuji, Tsuji, Xiao   +18 more
core   +8 more sources

Conjugacy classes of affine automorphisms of K^n and linear automorphisms of P^n in the Cremona groups [PDF]

, 2006
We describe the conjugacy classes of affine automorphisms in the group $Aut(n,\K)$ (respectively $Bir(\K^n)$) of automorphisms (respectively of birational maps) of $\K^n$.
Blanc, Jérémy
core   +4 more sources

The number of conjugacy classes of elements of the Cremona group of some given finite order [PDF]

, 2006
This note presents the study of the conjugacy classes of elements of some given finite order n in the Cremona group of the plane. In particular, it is shown that the number of conjugacy classes is infinite if n is even, n=3 or n=5, and that it is equal ...
Blanc, Jérémy
core   +2 more sources

Dynamical degrees of birational transformations of projective surfaces [PDF]

, 2015
The dynamical degree $\lambda(f)$ of a birational transformation $f$ measures the exponential growth rate of the degree of the formulae that define the $n$-th iterate of $f$.
Blanc, Jérémy, Cantat, Serge
core   +6 more sources

Induced automorphisms on irreducible symplectic manifolds [PDF]

, 2014
We introduce the notion of induced automorphisms in order to state a criterion to determine whether a given automorphism on a manifold of K3[n]-type is, in fact, induced by an automorphism of a K3 surface, and the manifold is a moduli space of stable ...
Mongardi, G., Wandel, M.
core   +2 more sources

On automorphisms of moduli spaces of parabolic vector bundles [PDF]

, 2019
Fix $n\geq 5$ general points $p_1, \dots, p_n\in\mathbb{P}^1$, and a weight vector $\mathcal{A} = (a_{1}, \dots, a_{n})$ of real numbers $0 \leq a_{i} \leq 1$.
Araujo, Carolina, Fassarella, Thiago, Kaur, Inder, Massarenti, Alex   +3 more
core   +2 more sources

Embeddings of SL(2,Z) into the Cremona group [PDF]

, 2011
Geometric and dynamic properties of embeddings of SL(2,Z) into the Cremona group are studied. Infinitely many non-conjugate embeddings which preserve the type (i.e.
A Russakovskii, B Iversen, CT McMullen, E Bedford, E Bertini, I Pan, J Blanc, J Blanc, J Blanc, J Blanc, J Blanc, J Diller, J Diller, JULIE DÉSERTI, JÉRÉMY BLANC, L Bayle, M Newman, S Cantat, S Cantat, S Cantat, S Cantat, WM Goldman   +21 more
core   +3 more sources

O’Grady tenfolds as moduli spaces of sheaves

Forum of Mathematics, Sigma
We give a lattice-theoretic characterization for a manifold of $\operatorname {\mathrm {OG10}}$ type to be birational to some moduli space of (twisted) sheaves on a K3 surface.
Camilla Felisetti, Franco Giovenzana, Annalisa Grossi   +2 more
doaj   +1 more source

On Cremona transformations of prime order [PDF]

, 2004
Final version, appeared in C.R. Acad. Sci.
Beauville, Arnaud, Blanc, Jeremy
core   +6 more sources

The group of Cremona transformations generated by linear maps and the standard involution [PDF]

, 2015
This article studies the group generated by automorphisms of the projective space of dimension $n$ and by the standard birational involution of degree $n$. Every element of this group only contracts rational hypersurfaces, but in odd dimension, there are
Blanc, Jérémy, Hedén, Isac
core   +4 more sources