Results 81 to 90 of about 574 (169)

Categorical Torelli theorems: results and open problems. [PDF]

open access: yesRend Circ Mat Palermo, 2023
Pertusi L, Stellari P.
europepmc   +1 more source

Complex Dynamics of birational maps of ℙk defined over a number field

open access: yes, 2023
16 pages, commets welcome!Jonsson and Reschke showed that birational selfmaps on projective surface defined over a number field satisfy the energy condition of Bedford and Diller so their ergodic properties are very well understood.
Gauthier, Thomas, Vigny, Gabriel
core  

Periodic orbits of planar integrable birational maps [PDF]

open access: yes, 2014
A birational planar map F possessing a rational first integral preserves a foliation of the plane given by algebraic curves which, if F is not globally periodic, is given by a foliation of curves that have generically genus 0 or 1. In the genus 1 case,
Mañosa Fernández, Víctor   +1 more
core   +1 more source

On some invariants of cubic fourfolds. [PDF]

open access: yesEur J Math, 2023
Gounelas F, Kouvidakis A.
europepmc   +1 more source

Lectures on Factorization of Birational Maps

open access: yes, 2000
This is an expanded version of the notes for the lectures given by the author at RIMS in the summer of 1999 to give a detailed account of the proof for the (weak) factorization theorem of birational maps by Abramovich-Karu-Matsuki-Włodarczyk.
openaire   +2 more sources

Birational maps, positive currents, and dynamics.

open access: yesMichigan Mathematical Journal, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Birational maps between generalized Severi–Brauer varieties

open access: yes, 2008
A conjecture of Amitsur states that two Severi–Brauer varieties V(A) and V(B) are birationally isomorphic if and only if the underlying algebras A and B are the same degree and generate the same cyclic subgroup of the Brauer group.
Krashen, Daniel, Daniel Krashen
core   +1 more source

INVARIANT CURVES FOR BIRATIONAL SURFACE MAPS

open access: yes, 2008
. We classify invariant curves for birational surface maps that are expanding on cohomology. When the expansion is exponential, the arithmetic genus of an invariant curve is at most one.
Andrew Sommese   +2 more
core  

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