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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…
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Keywords:
toric varieties;
mathbb;
non commutative;
resolutions toric ... See more keywords
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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…
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Keywords:
toric varieties;
real toric;
cohomology groups;
weyl chambers ... See more keywords
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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…
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Keywords:
toric varieties;
witten invariants;
descendant log;
invariants toric ... See more keywords