Real Kummer quartics and their Heisenberg invariance

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Аннотация

We consider two classifications of real Kummer quartics. They use the Heisenberg invariance of Kummerquartics. The first divides the whole variety of real Kummer quartics into four classes according tothe Heisenberg-invariance type and then subdivides each class into subclasses to obtain a deformation classification.This subdivision into subclasses is performed by means of the topological classification of the real parts of realKummer quartics. The second classification deals with the set of real Kummer quartics with a fixed Heisenberggroup. Such a set consists of a continuous part and a discrete part. We describe the deformation classes of thecontinuous part and describe its discrete part.

Авторлар туралы

Vyacheslav Krasnov

P.G. Demidov Yaroslavl State University

Email: vakras@yandex.ru
Doctor of physico-mathematical sciences, Associate professor

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© Krasnov V.A., 2020

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