On birational transformations of Hilbert schemes of points on K3 surfaces
Sign Up to like & getrecommendations! Published in 2022 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-021-02960-y
Abstract: We classify the group of birational automorphisms of Hilbert schemes of points on algebraic K3 surfaces of Picard rank one. We study whether these automorphisms are symplectic or non-symplectic and if there exists a hyperkahler… read more here.
Keywords: schemes points; transformations hilbert; points surfaces; birational transformations ... See more keywords
Birational transformations on dimer integrable systems
Sign Up to like & getrecommendations! Published in 2025 at "Physical Review D"
DOI: 10.1103/1mll-95cs
Abstract: We show that when two toric Calabi-Yau 3-folds and their corresponding toric varieties are related by a birational transformation, they are associated with a pair of dimer models on the 2-torus that define dimer integrable… read more here.
Keywords: dimer integrable; birational transformations; transformations dimer; integrable systems ... See more keywords
Categorical dimension of birational transformations and filtrations of Cremona groups
Sign Up to like & getrecommendations! Published in 2021 at "Journal of The Mathematical Society of Japan"
DOI: 10.2969/jmsj/82658265
Abstract: Using a filtration on the Grothendieck ring of triangulated categories, we define the motivic categorical dimension of a birational map between smooth projective varieties. We show that birational transformations of bounded motivic categorical dimension form… read more here.
Keywords: birational transformations; dimension birational; filtrations cremona; dimension ... See more keywords