Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-DARBOUX
Subjects hep-th,math.AG
Date Thursday 30 January 2020
Time 11:00
Institute LPTHE
Seminar Room bibliothèque du LPTHE, tour 13-14, 4eme étage
Speaker's Last Name Sarti
Speaker's First Name Alessandra
Speaker's Email Address alessandra [dot] sarti [at] math [dot] univ-poitiers [dot] fr
Speaker's Institution Université de Poitiers
Title On non-symplectic automorphisms of K3 surfaces
Abstract The K3 surfaces are complex algebraic surfaces with remarkable properties. A property that characterizes them, is the existence of a unique, up to scalar multiplication, global holomorphic two form which is never zero. In the last years their group of symmetry, the automorphisms of the K3 surfaces, aroused a lot of interest and it has been much studied. Depending on the action on the holomorphic two form, which can be trivial or not, an automorphism is called symplectic or non-symplectic. After an introduction on the subject, the aim of the talk is to show recent results in the study of non-symplectic automorphisms of 2-power order. In particular in the case of the order 16, I give a full description of the families of K3 surfaces carrying such automorphisms.
arXiv Preprint Number

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