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math.AG2020
The Gröbner fan of the Hilbert scheme
Yuta Kambe, Paolo Lella
We give a notion of "combinatorial proximity" among strongly stable ideals in a given polynomial ring with a fixed Hilbert polynomial. We show that this notion guarantees "geometri…
math.AG2019★ 1 cited
Computable Białynicki-Birula decomposition of the Hilbert scheme
Yuta Kambe
We call the scheme parameterizing homogeneous ideals with fixed initial ideal the Gröbner scheme. We introduce a Białynicki-Birula decomposition of the Hilbert scheme $\mathrm{Hilb…