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THE GEOMETRIC THETA CORRESPONDENCE FOR HILBERT MODULAR SURFACES
GEOMETRIC THETA CORRESPONDENCE；HILBERT MODULAR SURFACES
2015/10/14
In a series of papers [11, 12, 13, 14] we have been studying the geometric theta correspondence (see below) for non-compact arithmetic quotients of symmetric spaces associated to orthogonal groups. It...
Quadro-quadric cremona transformations in low dimensions via the JC-correspondence
Quadro-quadric cremona transformations low dimensions JC-correspondence Algebraic Geometry
2012/4/18
We apply the results of arXiv:1109.3573 to study quadro-quadric Cremona transformations in low-dimensional projective spaces. In particular we describe new very simple families of such birational maps...
Motivic Donaldson-Thomas invariants and McKay correspondence
Motivic Donaldson-Thomas invariants McKay correspondence Algebraic Geometry
2011/9/29
Abstract: Let $G\subset SL_2(C)\subset SL_3(C)$ be a finite group. We compute motivic Pandharipande-Thomas and Donaldson-Thomas invariants of the crepant resolution $Hilb^G(C^3)$ of $C^3/G$ generalizi...