Introduces structured matrix factorization length and X-factorization varieties, computes their dimensions for Toeplitz, Hankel, bidiagonal, tridiagonal, skew-symmetric, and companion matrices, and proposes displacement-rank lower bounds and alternating-minimization upper bounds.
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3 Pith papers cite this work. Polarity classification is still indexing.
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Classifies rational (quasi-)elliptic surfaces with global vector fields in char p ≠ 2, determining fibers, automorphism schemes, moduli, and Jacobian property except for p=3,5.
Germ expansions of Kloosterman integrals are given for p-adic split reductive groups, yielding a conditional proof that Bessel distributions are regular for generic representations assuming bounds on Kloosterman sums for Levi subgroups.
citing papers explorer
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Structured matrix factorization length
Introduces structured matrix factorization length and X-factorization varieties, computes their dimensions for Toeplitz, Hankel, bidiagonal, tridiagonal, skew-symmetric, and companion matrices, and proposes displacement-rank lower bounds and alternating-minimization upper bounds.
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Rational (quasi-)elliptic surfaces with global vector fields in odd characteristic
Classifies rational (quasi-)elliptic surfaces with global vector fields in char p ≠ 2, determining fibers, automorphism schemes, moduli, and Jacobian property except for p=3,5.
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Bessel Distributions and Kloosterman Sums
Germ expansions of Kloosterman integrals are given for p-adic split reductive groups, yielding a conditional proof that Bessel distributions are regular for generic representations assuming bounds on Kloosterman sums for Levi subgroups.