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11 papers · 2 filters
Wild ramification, the nearby cycle complexes, and the characteristic cycles of -adic sheaves
Hiroki Kato
We prove a purely local form of a result of Saito and Yatagawa. They proved that the characteristic cycle of a constructible étale sheaf is determined by wild ramification of the s…
Roots of Kostlan polynomials: moments, strong Law of Large Numbers and Central Limit Theorem
Michele Ancona, Thomas Letendre
We study the number of real roots of a Kostlan random polynomial of degree in one variable. More generally, we are interested in the distribution of the counting measure of the…
Characteristic foliation on vertical hypersurfaces on holomorphic symplectic manifolds with Lagrangian Fibration
Renat Abugaliev
Let be a smooth hypersurface in a projective irreducible holomorphic symplectic manifold of dimension . The characteristic foliation is the kernel of the symplectic…
A proof of N.Takahashi's conjecture for and a refined sheaves/Gromov-Witten correspondence
Pierrick Bousseau
We prove N.Takahashi's conjecture determining the contribution of each contact point in genus- maximal contact Gromov-Witten theory of relative to a smooth cubic…
On the log-local principle for the toric boundary
Pierrick Bousseau, Andrea Brini, Michel van Garrel
Let be a smooth projective complex variety and let be a reduced normal crossing divisor on with each component smooth, irreducible, and nef. The lo…
On the tensor rank of multiplication in finite extensions of finite fields and related issues in algebraic geometry
Stéphane Ballet, Jean Chaumine, Julia Pieltant +3
In this paper, we give a survey of the known results concerning the tensor rank of the multiplication in finite extensions of finite fields, enriched with some not published recent…