11 citations · 29 across the 8 of their papers we have counts for
8 papers
On nonemptiness of Newton strata in the -Grassmannian for
Serin Hong
We build upon our previous work to study the Newton stratification on the -Grassmannian for . Our main result gives an explicit classification o…
Extensions of vector bundles on the Fargues-Fontaine curve II
Serin Hong
Given two arbitrary vector bundles on the Fargues-Fontaine curve, we completely classify all vector bundles which arise as their extensions.
On certain extensions of vector bundles in p-adic geometry
Serin Hong
Given two arbitrary vector bundles on the Fargues-Fontaine curve, we give an explicit criterion in terms of Harder-Narasimhan polygons on whether they realize a semistable vector b…
Classification of subbundles on the Fargues-Fontaine curve
Serin Hong
We completely classify all subbundles of a given vector bundle on the Fargues-Fontaine curve. Our classification is given in terms of a simple and explicit condition on Harder-Nara…
Classification of quotient bundles on the Fargues-Fontaine curve
Serin Hong
We completely classify all quotient bundles of a given vector bundle on the Fargues-Fontaine curve. As consequences, we have two additional classification results: a complete class…
Extensions of Vector Bundles on the Fargues-Fontaine Curve
Christopher Birkbeck, Tony Feng, David Hansen +4
We completely classify the possible extensions between semistable vector bundles on the Fargues-Fontaine curve (over an algebraically closed perfectoid field), in terms of a simple…
Harris-Viehmann conjecture for Hodge-Newton reducible Rapoport-Zink spaces
Serin Hong
Rapoport-Zink spaces, or more generally local Shimura varieties, are expected to provide geometric realization of the local Langlands correspondence via their -adic cohomology.…
On the Hodge-Newton filtration for p-divisible groups of Hodge type
Serin Hong
A p-divisible group, or more generally an F-crystal, is said to be Hodge-Newton reducible if its Hodge polygon passes through a break point of its Newton polygon. Katz proved that…