The aim of this introductory survey is to acquaint the reader with important objects in
complex algebraic geometry: K3 surfaces and their higher-dimensional analogs, hyper …

We classify the symplectic automorphism groups for cubic fourfolds. The main inputs are the
global Torelli theorem for cubic fourfolds and the classification of the fixed-point sublattices …

We give a classification of all nonsymplectic automorphisms of prime order p acting on
irreducible holomorphic symplectic four-folds deformation equivalent to the Hilbert scheme …

We determine the orbits of fixed-point sublattices of the Leech lattice with respect to the
action of the Conway group Co 0. There are 290 such orbits. Detailed information about …

We determine the possible finite groups $ G $ of symplectic automorphisms of hyperk\" ahler
manifolds which are deformation equivalent to the second Hilbert scheme of a K3 surface …

We classify combinations of isolated singularities that can occur on complex cubic threefolds
generalizing analogous results for cubic surfaces due to Schl\"{a} fli and Bruce--Wall. In …

Automorphism groups of smooth cubic threefolds Page 1 c⃝2020 The Mathematical Society of
Japan J. Math. Soc. Japan Vol. 72, No. 4 (2020) pp. 1327–1343 doi: 10.2969/jmsj/83088308 …

We prove non-hyperbolicity of primitive symplectic varieties with $ b_2\geq 5$ that satisfy the
rational SYZ conjecture. If in addition $ b_2\geq 7$, we establish that the Kobayashi …

The present paper is devoted to the classification of symplectic automorphisms of some
hyperkählermanifolds. The result presented here is a proof that all finite groups of symplectic …

We extend a result of Guan by showing that the second Betti number of a 4-dimensional
primitively symplectic orbifold is at most 23 and there are at most 91 singular points. The …