The paper supplies intrinsic characterizations of the singular locus of GL-varieties that confirm the correctness of a prior candidate definition based on auxiliary varieties.
Topological Noetherianity of polynomial functors
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
We prove that any finite-degree polynomial functor is topologically Noetherian. This theorem is motivated by the recent resolution of Stillman's conjecture and a recent Noetherianity proof for the space of cubics. Via work by Erman-Sam-Snowden, our theorem implies Stillman's conjecture and indeed boundedness of a wider class of invariants of ideals in polynomial rings with a fixed number of generators of prescribed degrees.
fields
math.AG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
The unirationality map for irreducible GL-varieties can be chosen to be surjective, with consequences for secant varieties of tensors.
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The singular locus of a GL-variety
The paper supplies intrinsic characterizations of the singular locus of GL-varieties that confirm the correctness of a prior candidate definition based on auxiliary varieties.
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Improved unirationality for GL-varieties
The unirationality map for irreducible GL-varieties can be chosen to be surjective, with consequences for secant varieties of tensors.