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INTRODUCTION TO BASIC TORIC GEOMETRY

GOTTFRIED BARTHEL, LUDGER KAUP, KARL-HEINZ FIESELER

2007
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Singularities in Geometry and Topology
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To every N -fan ∆, one associates the toric variety X ∆ := σ∈∆ X σ by *gluing* the family of affine toric varieties (X σ ) σ∈∆ , where X σ *and* X e σ are *glued* along the common open affine invariant subvariety ...
only if N is a saturated sublattice (i.e., if N/N is torsion-*free* *and* thus, *free*: In that case, there is a one-sided inverse to ι that, upon tensoring with C * , provides a one-sided inverse on the level ...
The theory of toric surface singularities *and* their *resolution* is particularly rich *and* fascinating. ...

doi:10.1142/9789812706812_0001
fatcat:5fi6oqie5jcj3mx7qr4vlzekea