Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar zur Algebra und Zahlentheorie

 

Professor Dr. Alessandra Sarti
Université de Poitiers, France

 
spricht am
 
Donnerstag, 11. Juli 2019
 
um
 
10:00 Uhr
 
im
 
Raum 1007 (L1)
 
über das Thema:
 

»Nikulin configurations on Kummer surfaces«

Abstract:
A Nikulin configuration is the data of 16 disjoint smooth rational curves on a K3 surface. According to results of Nikulin this means that the K3 surface is a Kummer surface and the abelian surface in the Kummer structure is determined by the 16 curves. A classical question of Shioda is about the existence of non isomorphic Kummer structures on the same Kummer K3 surface. The question was positively answered and studied by several authors, and it was shown that the number of non-isomorphic Kummer structures is finite, but no explicit geometric construction of such structures was given. In the talk I will show how to construct explicitly non isomorphic Kummer structures on some generic Kummer K3 surfaces. This is a joint work with X. Roulleau.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Marc Nieper-Wißkirchen



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