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27 papers · 1 filter
Some Results on Asymptotic Regularity of Ideal Sheaves
Wenbo Niu
Let be an ideal sheaf on defining a subscheme . Associated to there are two elementary invariants: the invariant which measures the positiv…
A proof of the set-theoretic version of the salmon conjecture
Shmuel Friedland, Elizabeth Gross
We show that the irreducible variety of 4 x 4 x 4 complex valued tensors of border rank at most 4 is the zero set of polynomial equations of degree 5 (the Strassen commutative cond…
A Vanishing Theorem and Asymptotic Regularity of Powers of Ideal Sheaves
Wenbo Niu
Let be an ideal sheaf on . In the first part of this paper, we bound the asymptotic regularity of powers of as $ps-3\leq \reg \mathscr{I}^p\leq ps+…
Singularities of generalized Richardson varieties
Sara Billey, Izzet Coskun
Richardson varieties play an important role in intersection theory and in the geometric interpretation of the Littlewood-Richardson Rule for flag varieties. We discuss three natura…
Residues and filtered D-modules
Christian Schnell
For an embedding of sufficiently high degree of a smooth projective variety X into projective space, we use residues to define a filtered holonomic D-module (M, F) on the dual proj…
Local positivity, multiplier ideals, and syzygies of abelian varieties
Robert Lazarsfeld, Giuseppe Pareschi, Mihnea Popa
We use the language of multiplier ideals in order to relate the syzygies of an abelian variety in a suitable embedding with the local positivity of the line bundle inducing that em…