V. Alexeev

activity

19922026

most citedLog canonical singularities and complete moduli of stable pairs

47 citations · 382 across the 40 of their papers we have counts for

collaborators

Showing 2011 · math.AGShow all

4 papers · 2 filters

math.AG2011

Non-rational centers of log canonical singularities

Valery Alexeev, Christopher D. Hacon

We show that if $(X, B)$ is a log canonical pair with $dim X \geq d + 2$ , whose non-klt centers have dimension $\geq d$ , then $X$ is has depth $\geq d + 2$ at every closed point.

math.AG2011★ 2 cited

Extended Torelli map to the Igusa blowup in genus 6, 7, and 8

Valery Alexeev, Ryan Livingston, Joseph Tenini +7

It was conjectured in \cite{Namikawa_ExtendedTorelli} that the Torelli map $M_{g} \to A_{g}$ associating to a curve its jacobian extends to a regular map from the Deligne-Mumford moduli…

math.AG2011★ 30 cited

Non-normal abelian covers

Valery Alexeev, Rita Pardini

An abelian cover is a finite morphism $X \to Y$ of varieties which is the quotient map for a generically faithful action of a finite abelian group $G$ . Abelian covers with $Y$ smoot…

math.AG2011★ 22 cited

Extending Torelli map to toroidal compactifications of Siegel space

Valery Alexeev, Adrian Brunyate

It has been known since the 1970s that the Torelli map $M_{g} \to A_{g}$ , associating to a smooth curve its jacobian, extends to a regular map from the Deligne-Mumford compactification…