Articles with "toric varieties" as a keyword



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Non-commutative resolutions of toric varieties

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Published in 2019 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2019.04.021

Abstract: Let $R$ be the coordinate ring of an affine toric variety. We show that the endomorphism ring $End_R(\mathbb A),$ where $\mathbb A$ is the (finite) direct sum of all (isomorphism classes of) conic $R$-modules, has… read more here.

Keywords: toric varieties; mathbb; non commutative; resolutions toric ... See more keywords
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The Cohomology Groups of Real Toric Varieties Associated with Weyl Chambers of Types C and D

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Published in 2019 at "Proceedings of the Edinburgh Mathematical Society"

DOI: 10.1017/s001309151800086x

Abstract: Abstract Given a root system, the Weyl chambers in the co-weight lattice give rise to a real toric variety, called the real toric variety associated with the Weyl chambers. We compute the integral cohomology groups… read more here.

Keywords: toric varieties; real toric; cohomology groups; weyl chambers ... See more keywords
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Descendant log Gromov-Witten invariants for toric varieties and tropical curves

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Published in 2019 at "Transactions of the American Mathematical Society"

DOI: 10.1090/tran/7936

Abstract: Using degeneration techniques, we prove the correspondence of tropical curve counts and log Gromov-Witten invariants with general incidence and psi-class conditions in toric varieties for genus zero curves. For higher-genus situations, we prove the correspondence… read more here.

Keywords: toric varieties; witten invariants; descendant log; invariants toric ... See more keywords