Abstract
This paper constructs all the diptych varieties with $de\le4$ (see [BR1], Main Theorem 3.3). Our construction involves several new classes of Gorenstein almost homogeneous spaces for $\operatorname{GL}(2)\times\mathbb{G}_m^r$, in particular two infinite series arising from the algebra of apolarity.
Information
Published: 1 January 2017
First available in Project Euclid: 23 October 2018
zbMATH: 1388.14137
MathSciNet: MR3791208
Digital Object Identifier: 10.2969/aspm/07410041
Subjects:
Primary:
14M17
Secondary:
14E99
Keywords:
Almost homogeneous space
,
apolar geometry
,
Gorenstein variety
,
Mori flip
,
unprojection
Rights: Copyright © 2017 Mathematical Society of Japan
