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JOURNALS // Matematicheskii Sbornik // Archive
Mat. Sb., 2021 Volume 212, Number 3, Pages 54–67 (Mi sm9386)
This article is cited in 7 papers

Birational types of algebraic orbifolds

A. Krescha, Yu. Tschinkelbc

a Institut für Mathematik, Universität Zürich, Zürich, Switzerland
b Courant Institute of Mathematical Sciences, New York University, New York, NY, USA
c Simons Foundation, New York, NY, USA

Abstract: We introduce a variant of the birational symbols group of Kontsevich, Pestun and the second author, and use this to define birational invariants of algebraic orbifolds.
Bibliography: 20 titles.

Keywords: algebraic orbifold, stack, birational invariant.

UDC: 512.76+512.718

MSC: Primary 14E05; Secondary 14A20, 14L30

Received: 16.02.2020 and 26.10.2020

DOI: 10.4213/sm9386


 English version: Sbornik: Mathematics, 2021, 212:3, 319–331

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© Steklov Math. Inst. of RAS, 2026