10 citations · 10 across the 3 of their papers we have counts for
9 papers · 1 filter
Obstructions for codimension one multiple fibers of Lagrangian and Calabi--Yau fibrations
Yoon-Joo Kim, Keiji Oguiso, Evgeny Shinder
We prove that compact hyper-Kähler manifolds with a Lagrangian fibration over a projective space have no multiple fibers in codimension one. This has several consequences for the s…
Atomic decompositions for derived categories of G-surfaces
Alexey Elagin, Julia Schneider, Evgeny Shinder
We construct canonical semi-orthogonal decompositions for derived categories of smooth projective surfaces. These decompositions are compatible with the operations in the minimal m…
Unboundedness for motivic invariants of birational automorphisms
Hsueh-Yung Lin, Evgeny Shinder
We introduce horizontal and vertical motivic invariants of birational maps between rational dominant maps and study their basic properties. As a first application, we show that the…
Twists of intermediate Jacobian fibrations
Yajnaseni Dutta, Dominique Mattei, Evgeny Shinder
We study the sections, Tate--Shafarevich twists, and the period for an OG10 hyperkähler Lagrangian associated to a cubic fourfold. To do so, we introduce the analytic relative Jaco…
Obstructions to semiorthogonal decompositions for singular threefolds I: K-theory
Martin Kalck, Nebojsa Pavic, Evgeny Shinder
We investigate necessary conditions for Gorenstein projective varieties to admit semiorthogonal decompositions introduced by Kawamata, with main emphasis on threefolds with isolate…
L-equivalence for degree five elliptic curves, elliptic fibrations and K3 surfaces
Evgeny Shinder, Ziyu Zhang
We construct nontrivial L-equivalence between curves of genus one and degree five, and between elliptic surfaces of multisection index five. These results give the first examples o…