Geometry of a Moduli Spaces of Curves Associated to a Finite Dimensional Algebra

Student: Khromenkov Yaroslav

Supervisor: Aleksej Igorevich Bondal

Educational Programme: Mathematics (Bachelor)

Final Grade: 10

Year of Graduation: 2017

We study the construction introduced by Alexey Bondal that associates with the finite dimensional algebra A over C algebraic variety M(A). Algebraic varieties M(A) generalize moduli spaces of stable rational curves with n marked points. We describe geometric properties of varieties of the form M(A) and generalize Kapranov's results about M_{0,n}

Full text (added June 12, 2017)

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