Kolomiiets P. Bischubert varieties

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U003154

Thesis Registration Form

0408U003154.pdf

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

24-06-2008

Specialized Academic Board

Д 26.206.03

The Institute of Mathematics of NASU

Essay

A generalization of Schubert variety is given and answers to the general questions about geometrical properties of introduced object such as irreducibility, rationality, formulas for the number of irreducible components and their dimensions. Equations of irreducible components in Grassmannian and their structure of intersections for some partial class are found. Regular and singular points of irreducible components are found for some cases and the decomposition of the simplest bischubert variety into Schubert basis is found.

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