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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,694 papers · 148 categories

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0111 · Jul 201619922001200920172026
2 results for “multi-fans”
Four dimensional almost complex torus manifoldsmath.DG

The paper extends toric variety correspondence to 4D almost complex torus manifolds.

problem Extending toric variety correspondence to 4D almost complex torus manifolds.
method Associate combinatorial objects (families of multi-fans and graphs) to 4D almost complex torus manifolds and find conditions for their equivalence.
result Minimal models and operations for combinatorial objects, and equivalence between 4D complex torus manifolds and their minimal models.
toric varietiesalmost complex manifoldsmulti-fansgraphsequivariant blow up
2023-10-17abs ↗pdf ↗
Dimensions of multi-fan algebrasmath.CO

Given an arbitrary non-zero simplicial cycle and a generic vector coloring of its vertices, there is a way to produce a graded Poincare duality algebra associated with these data. The procedure relies on the theory of volume polynomials and multi-fans. This construction includes many important examples, such as cohomol…

2016-07-13abs ↗pdf ↗