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UID:news1952@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20251106T212607
DTSTART;TZID=Europe/Zurich:20251111T103000
SUMMARY:Seminar Algebra and Geometry: Alice Garbagnati (Milano)
DESCRIPTION:The K3 surface are one of the two classes of Kähler surfaces w
 hich are endowed with a symplectic structure. An automorphism α on a K3 s
 urface X is called symplectic if it preserves this structure and if it has
  finite order\, the desingularization of the quotient X/α is still a K3 s
 urface\, a priori different from X.So\, one constructs a relation (the quo
 tient by an automorphism) between different families of K3 surfaces. The f
 amilies of projective K3 surfaces admitting a symplectic involution and th
 e ones of their quotient are intensively studied in the last decades. In t
 his talk\, I will present the classical known results for the generic memb
 er of these families and then I consider specializations of some of them. 
 In particular\, I discuss the cases in which the K3 surface admitting the 
 involution and its quotient are contained in the same family\, and/or are 
 isomorphic. The first and most famous example of this phenomenon is the on
 e in which the symplectic involution is induced by a translation by a 2-to
 rsion section on an elliptic fibration\, i.e. it is a van Geemen--Sarti in
 volution. We provide other examples and study specializations of both van 
 Geemen--Sarti involutions and of the other ones presented.
X-ALT-DESC:The K3 surface are one of the two classes of Kähler surfaces wh
 ich are endowed with a symplectic structure. An automorphism α on a K3 su
 rface X is called symplectic if it preserves this structure and if it has 
 finite order\, the desingularization of the quotient X/α is still a K3 su
 rface\, a priori different from X.So\, one constructs a relation (the quot
 ient by an automorphism) between different families of K3 surfaces. The fa
 milies of projective K3 surfaces admitting a symplectic involution and the
  ones of their quotient are intensively studied in the last decades. In th
 is talk\, I will present the classical known results for the generic membe
 r of these families and then I consider specializations of some of them. I
 n particular\, I discuss the cases in which the K3 surface admitting the i
 nvolution and its quotient are contained in the same family\, and/or are i
 somorphic. The first and most famous example of this phenomenon is the one
  in which the symplectic involution is induced by a translation by a 2-tor
 sion section on an elliptic fibration\, i.e. it is a van Geemen--Sarti inv
 olution. We provide other examples and study specializations of both van G
 eemen--Sarti involutions and of the other ones presented.
DTEND;TZID=Europe/Zurich:20251111T120000
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