University of California, Irvine

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20022014

most citedModularity and community structure in networks

12.4k citations

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11 papers · 1 filter

math.AG2009

Factorial and Noetherian Subrings of Power Series Rings

Damek Davis, Daqing Wan

Let $F$ be a field. We show that certain subrings contained between the polynomial ring $F [X] = F [X_{1}, ..., X_{n}]$ and the power series ring $F [X] [[Y]] = F [X_{1}, ..., X_{n}] [[Y]]$ have…

math.AG2009★ 2 cited

Deformation of line bundles on coisotropic subvarieties

Vladimir Baranovsky, Victor Ginzburg, Jeremy Pecharich

We prove a criterion stating when a line bundle on a smooth coisotropic subvariety Y of a smooth variety X with an algebraic Poisson structure, admits a first order deformation qua…

math.AG2009★ 8 cited

Gerstenhaber-Batalin-Vilkoviski structures on coisotropic intersections

Vladimir Baranovsky, Victor Ginzburg

Let Y,Z be a pair of smooth coisotropic subvarieties in a smooth algebraic Poisson variety X. We show that any data of first order deformation of the structure sheaf O_X to a sheaf…

math.AG2009

Norm functors and effective zero cycles

Vladimir Baranovsky

We compare two known definitions for a relative family of effective zero cycles, based on traces and norms of functions, respectively. In characteristic zero we show that both defi…

math.AG2008

Algebraization of bundles on non-proper schemes

Vladimir Baranovsky

We consider the algebraization problem for principal bundles with reductive structure group, defined on the complement of a closed subset Z in a proper formal scheme. We show that,…

math.AG2007★ 7 cited

Lectures on zeta functions over finite fields

Daqing Wan

These are the notes from the summer school in Göttingen sponsored by NATO Advanced Study Institute on Higher-Dimensional Geometry over Finite Fields that took place in 2007. The ai…