搜索结果: 1-7 共查到“代数几何学 toric”相关记录7条 . 查询时间(0.078 秒)
Lagrangian fibrations on blowups of toric varieties and mirror symmetry for hypersurfaces
Lagrangian fibrations blowups of toric varieties mirror symmetry hypersurfaces Algebraic Geometry
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2012/5/9
We consider mirror symmetry for (essentially arbitrary) hypersurfaces in (possibly noncompact) toric varieties from the perspective of the Strominger-Yau-Zaslow (SYZ) conjecture. Given a hypersurface ...
Toric Deligne-Mumford stacks and the better behaved version of the GKZ hypergeometric system
Toric Deligne-Mumford stacks GKZ hypergeometric system Algebraic Geometry
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2012/5/9
We generalize the combinatorial description of the orbifold (Chen--Ruan) cohomology and of the Grothendieck ring of a Deligne--Mumford toric stack and its associated stacky fan in a lattice $N$ in the...
Smooth toric varieties are Oka
Toric variety Oka manifold Algebraic Geometry
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2011/9/14
Abstract: In this brief note, we show that every smooth toric variety over the field of complex numbers is an Oka manifold.
On toric schemes
Toric scheme toric variety graded module sheaf cohomology local cohomology
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2011/9/6
Abstract: Studying toric varieties from a scheme-theoretical point of view leads to toric schemes, i.e. "toric varieties over arbitrary base rings". It is shown how the base ring affects the geometry ...
Toric Stacks II: Intrinsic Characterization of Toric Stacks
Toric Stacks II fan stack moduli Algebraic Geometry
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2011/9/1
Abstract: The purpose of this paper and its prequel (Toric Stacks I) is to introduce and develop a theory of toric stacks which encompasses and extends the notions of toric stacks defined in [Laf02, B...
Toric Stacks I: The Theory of Stacky Fans
Toric Stacks I The Theory of Stacky Fans Algebraic Geometry
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2011/9/1
Abstract: The purpose of this paper and its sequel (Toric Stacks II) is to introduce and develop a theory of toric stacks which encompasses and extends the notions of toric stacks defined in [Laf02, B...
A stellar proof of Hirzebruch-Riemann-Roch for toric varieties
Toric variety Chow ring cohomology
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2011/8/24
Abstract: We give a simple proof of the Hirzebruch-Riemann-Roch theorem for smooth complete toric varieties, based on Ishida's result that the Todd genus of a smooth complete toric variety is one.